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101112001002220 = 225134773113346637
BaseRepresentation
bin10110111111010111111000…
…111001101111101011101100
3111021000012202012101101011011
4112333113320321233223230
5101223104334224032340
6555014113443235004
730204046433536405
oct2677277071575354
9437005665341134
10101112001002220
112a2433a464381a
12b410224678a64
134455a89346c60
141ad7bc00b89ac
15ba524db3d0ea
hex5bf5f8e6faec

101112001002220 has 96 divisors (see below), whose sum is σ = 236733067807488. Its totient is φ = 36038789609472.

The previous prime is 101112001002217. The next prime is 101112001002307. The reversal of 101112001002220 is 22200100211101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 101112001002220.

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, 55781259 + ... + 57565378.

It is an arithmetic number, because the mean of its divisors is an integer number (2465969456328).

Almost surely, 2101112001002220 is an apocalyptic number.

101112001002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112001002220 is an abundant number, since it is smaller than the sum of its proper divisors (135621066805268).

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

101112001002220 is a wasteful number, since it uses less digits than its factorization.

101112001002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113346779 (or 113346777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101112001002220 its reverse (22200100211101), we get a palindrome (123312101213321).

The spelling of 101112001002220 in words is "one hundred one trillion, one hundred twelve billion, one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 73 94 130 146 188 235 260 292 365 470 611 730 940 949 1222 1460 1898 2444 3055 3431 3796 4745 6110 6862 9490 12220 13724 17155 18980 34310 44603 68620 89206 178412 223015 446030 892060 113346637 226693274 453386548 566733185 1133466370 1473506281 2266932740 2947012562 5327291939 5894025124 7367531405 8274304501 10654583878 14735062810 16548609002 21309167756 26636459695 29470125620 33097218004 41371522505 53272919390 69254795207 82743045010 106545838780 107565958513 138509590414 165486090020 215131917026 277019180828 346273976035 388892311547 430263834052 537829792565 692547952070 777784623094 1075659585130 1385095904140 1555569246188 1944461557735 2151319170260 3888923115470 5055600050111 7777846230940 10111200100222 20222400200444 25278000250555 50556000501110 101112001002220