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112020112101222 = 233138315311255757
BaseRepresentation
bin11001011110000110110110…
…111111010100111101100110
3112200122000111012212020022000
4121132012312333110331212
5104140314142144214342
61034125155024550130
732411120543204343
oct3136066677247546
9480560435766260
10112020112101222
113276950aa17336
12106922b8a82346
134a675b3500030
141d93b339377ca
15ce3d7820144c
hex65e1b6fd4f66

112020112101222 has 128 divisors (see below), whose sum is σ = 271489655646720. Its totient is φ = 34030183916160.

The previous prime is 112020112101211. The next prime is 112020112101241. The reversal of 112020112101222 is 222101211020211.

112020112101222 is a `hidden beast` number, since 1 + 120 + 201 + 121 + 0 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112020112101195 and 112020112101204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88577368 + ... + 89833124.

It is an arithmetic number, because the mean of its divisors is an integer number (2121012934740).

Almost surely, 2112020112101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112020112101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135744827823360).

112020112101222 is an abundant number, since it is smaller than the sum of its proper divisors (159469543545498).

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

112020112101222 is a wasteful number, since it uses less digits than its factorization.

112020112101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257395 (or 1257389 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112020112101222 its reverse (222101211020211), we get a palindrome (334121323121433).

The spelling of 112020112101222 in words is "one hundred twelve trillion, twenty billion, one hundred twelve million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 83 117 166 234 249 351 498 702 747 1079 1494 1531 2158 2241 3062 3237 4482 4593 6474 9186 9711 13779 19422 19903 27558 29133 39806 41337 58266 59709 82674 119418 127073 179127 254146 358254 381219 537381 762438 1074762 1143657 1255757 1651949 2287314 2511514 3303898 3430971 3767271 4955847 6861942 7534542 9911694 11301813 14867541 16324841 22603626 29735082 32649682 33905439 44602623 48974523 67810878 89205246 97949046 104227831 146923569 208455662 293847138 312683493 440770707 625366986 881541414 938050479 1354961803 1876100958 1922563967 2709923606 2814151437 3845127934 4064885409 5628302874 5767691901 8129770818 11535383802 12194656227 17303075703 24389312454 24993331571 34606151406 36583968681 49986663142 51909227109 73167937362 74979994713 103818454218 149959989426 159572809261 224939984139 319145618522 449879968278 478718427783 674819952417 957436855566 1349639904834 1436155283349 2074446520393 2872310566698 4148893040786 4308465850047 6223339561179 8616931700094 12446679122358 18670018683537 37340037367074 56010056050611 112020112101222