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112121032212 = 2232717113231611
BaseRepresentation
bin110100001101011101…
…1110010111000010100
3101201101220111120120200
41220122323302320110
53314110441012322
6123301354500500
711046315022560
oct1503273627024
9351356446520
10112121032212
1143606443aa2
1219891134730
13a75aa6cc57
1455d8b866a0
152db34168ac
hex1a1aef2e14

112121032212 has 144 divisors (see below), whose sum is σ = 345994975872. Its totient is φ = 29883248640.

The previous prime is 112121032211. The next prime is 112121032301. The reversal of 112121032212 is 212230121211.

112121032212 is a `hidden beast` number, since 1 + 121 + 210 + 322 + 12 = 666.

It is a super-2 number, since 2×1121210322122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121032211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 368287 + ... + 599897.

It is an arithmetic number, because the mean of its divisors is an integer number (2402742888).

Almost surely, 2112121032212 is an apocalyptic number.

112121032212 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 112121032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172997487936).

112121032212 is an abundant number, since it is smaller than the sum of its proper divisors (233873943660).

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

112121032212 is a wasteful number, since it uses less digits than its factorization.

112121032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231758 (or 231753 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112121032212 its reverse (212230121211), we get a palindrome (324351153423).

The spelling of 112121032212 in words is "one hundred twelve billion, one hundred twenty-one million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 113 119 126 153 204 226 238 252 306 339 357 452 476 612 678 714 791 1017 1071 1356 1428 1582 1921 2034 2142 2373 3164 3842 4068 4284 4746 5763 7119 7684 9492 11526 13447 14238 17289 23052 26894 28476 34578 40341 53788 69156 80682 121023 161364 231611 242046 463222 484092 694833 926444 1389666 1621277 2084499 2779332 3242554 3937387 4168998 4863831 6485108 7874774 8337996 9727662 11812161 14591493 15749548 19455324 23624322 26172043 27561709 29182986 35436483 47248644 52344086 55123418 58365972 70872966 78516129 82685127 104688172 110246836 141745932 157032258 165370254 183204301 235548387 248055381 314064516 330740508 366408602 444924731 471096774 496110762 549612903 732817204 889849462 942193548 992221524 1099225806 1334774193 1648838709 1779698924 2198451612 2669548386 3114473117 3297677418 4004322579 5339096772 6228946234 6595354836 8008645158 9343419351 12457892468 16017290316 18686838702 28030258053 37373677404 56060516106 112121032212