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111101101020012 = 2232310730529123229
BaseRepresentation
bin11001010000101110111101…
…101010010001001101101100
3112120101011100202101011100210
4121100232331222101031230
5104030240023330120022
61032143050300022420
732254534565666145
oct3120567552211554
9476334322334323
10111101101020012
1132444792142884
1210564179b31a10
1349cba341c675c
141d61471730acc
15cc9edbb9ba0c
hex650bbda9136c

111101101020012 has 96 divisors (see below), whose sum is σ = 273046290854400. Its totient is φ = 35091044093952.

The previous prime is 111101101019999. The next prime is 111101101020047. The reversal of 111101101020012 is 210020101101111.

It is a super-2 number, since 2×1111011010200122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 111101101020012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901520814 + ... + 901644042.

It is an arithmetic number, because the mean of its divisors is an integer number (2844232196400).

Almost surely, 2111101101020012 is an apocalyptic number.

111101101020012 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 111101101020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136523145427200).

111101101020012 is an abundant number, since it is smaller than the sum of its proper divisors (161945189834388).

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

111101101020012 is a wasteful number, since it uses less digits than its factorization.

111101101020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153895 (or 153893 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111101101020012 its reverse (210020101101111), we get a palindrome (321121202121123).

The spelling of 111101101020012 in words is "one hundred eleven trillion, one hundred one billion, one hundred one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 2461 4922 7383 9844 14766 29532 30529 61058 91587 122116 123229 183174 246458 366348 369687 492916 702167 739374 1404334 1478748 2106501 2808668 2834267 3266603 4213002 5668534 6533206 8426004 8502801 9799809 11337068 13066412 13185503 17005602 19599618 26371006 34011204 39199236 39556509 52742012 75131869 79113018 150263738 158226036 225395607 300527476 303266569 450791214 606533138 901582428 909799707 1213066276 1819599414 3639198828 3762058141 7524116282 11286174423 15048232564 22572348846 45144697692 86527337243 173054674486 259582011729 346109348972 402540221087 519164023458 805080442174 1038328046916 1207620663261 1610160884348 2415241326522 4830482653044 9258425085001 18516850170002 27775275255003 37033700340004 55550550510006 111101101020012