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112232101303332 = 22345349913097719
BaseRepresentation
bin11001100001001100010010…
…100001111101010000100100
3112201101021200002221111020000
4121201030102201331100210
5104202302320413201312
61034410414321141300
732432334044533353
oct3141142241752044
9481337602844200
10112232101303332
113284040433452a
12107073bb78a830
134a81598672c2a
141da00c402599a
15ce9633eb1adc
hex66131287d424

112232101303332 has 120 divisors (see below), whose sum is σ = 299531758680000. Its totient is φ = 36631278575424.

The previous prime is 112232101303321. The next prime is 112232101303459. The reversal of 112232101303332 is 233303101232211.

112232101303332 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 21 + 0 + 1 + 303 + 332 = 666.

It is a super-2 number, since 2×1122321013033322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112232101303296 and 112232101303305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2019969 + ... + 15117687.

It is an arithmetic number, because the mean of its divisors is an integer number (2496097989000).

Almost surely, 2112232101303332 is an apocalyptic number.

112232101303332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112232101303332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149765879340000).

112232101303332 is an abundant number, since it is smaller than the sum of its proper divisors (187299657376668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112232101303332 is a wasteful number, since it uses less digits than its factorization.

112232101303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13098287 (or 13098276 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 112232101303332 its reverse (233303101232211), we get a palindrome (345535202535543).

The spelling of 112232101303332 in words is "one hundred twelve trillion, two hundred thirty-two billion, one hundred one million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 499 636 954 998 1431 1497 1908 1996 2862 2994 4293 4491 5724 5988 8586 8982 13473 17172 17964 26447 26946 40419 52894 53892 79341 80838 105788 158682 161676 238023 317364 476046 714069 952092 1428138 2142207 2856276 4284414 8568828 13097719 26195438 39293157 52390876 78586314 117879471 157172628 235758942 353638413 471517884 694179107 707276826 1060915239 1388358214 1414553652 2082537321 2121830478 2776716428 4165074642 4243660956 6247611963 6535761781 8330149284 12495223926 13071523562 18742835889 19607285343 24990447852 26143047124 37485671778 39214570686 56228507667 58821856029 74971343556 78429141372 112457015334 117643712058 176465568087 224914030668 235287424116 346395374393 352931136174 529396704261 692790748786 705862272348 1039186123179 1058793408522 1385581497572 2078372246358 2117586817044 3117558369537 4156744492716 6235116739074 9352675108611 12470233478148 18705350217222 28058025325833 37410700434444 56116050651666 112232101303332