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101120112012 = 2231311812771283
BaseRepresentation
bin101111000101100111…
…0100111010110001100
3100200000020022221001210
41132023032213112030
53124043222041022
6114242014534420
710206564525123
oct1361316472614
9320006287053
10101120112012
1139980737907
1217720b07410
1396c68b280a
144c73b16aba
15296c744a0c
hex178b3a758c

101120112012 has 96 divisors (see below), whose sum is σ = 240111615744. Its totient is φ = 33118675200.

The previous prime is 101120111987. The next prime is 101120112013. The reversal of 101120112012 is 210211021101.

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

It is not an unprimeable number, because it can be changed into a prime (101120112013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78814723 + ... + 78816005.

It is an arithmetic number, because the mean of its divisors is an integer number (2501162664).

Almost surely, 2101120112012 is an apocalyptic number.

101120112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120112012 is an abundant number, since it is smaller than the sum of its proper divisors (138991503732).

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

101120112012 is a wasteful number, since it uses less digits than its factorization.

101120112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120112012 its reverse (210211021101), we get a palindrome (311331133113).

The spelling of 101120112012 in words is "one hundred one billion, one hundred twenty million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 131 181 262 277 362 393 524 543 554 724 786 831 1086 1108 1283 1572 1662 2172 2566 3324 3849 5132 7698 15396 23711 36287 47422 50137 71133 72574 94844 100274 108861 142266 145148 150411 168073 200548 217722 232223 284532 300822 336146 355391 435444 464446 504219 601644 672292 696669 710782 928892 1008438 1066173 1393338 1421564 2016876 2132346 2786676 4264692 6567947 13135894 19703841 26271788 30421213 39407682 46556221 60842426 64325771 78815364 91263639 93112442 121684852 128651542 139668663 182527278 186224884 192977313 257303084 279337326 365054556 385954626 558674652 771909252 8426676001 16853352002 25280028003 33706704004 50560056006 101120112012