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100000122210112 = 26192411087313921
BaseRepresentation
bin10110101111001100010111…
…110000110000011101000000
3111010001220210110021110001011
4112233030113300300131000
5101101400222241210422
6552403231050050304
730030525152000035
oct2657142760603500
9433056713243034
10100000122210112
11299548a4a98473
12b27083a719994
1343a4c81564b17
141a9a06314538c
15b863753b0077
hex5af317c30740

100000122210112 has 112 divisors (see below), whose sum is σ = 209942193556480. Its totient is φ = 47128382668800.

The previous prime is 100000122210091. The next prime is 100000122210137. The reversal of 100000122210112 is 211012221000001.

It is a super-2 number, since 2×1000001222101122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100000122210092 and 100000122210101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318394912 + ... + 318708832.

It is an arithmetic number, because the mean of its divisors is an integer number (1874483871040).

Almost surely, 2100000122210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000122210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104971096778240).

100000122210112 is an abundant number, since it is smaller than the sum of its proper divisors (109942071346368).

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

100000122210112 is a wasteful number, since it uses less digits than its factorization.

100000122210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315280 (or 315270 counting only the distinct ones).

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

Adding to 100000122210112 its reverse (211012221000001), we get a palindrome (311012343210113).

The spelling of 100000122210112 in words is "one hundred trillion, one hundred twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 241 304 482 608 964 1087 1216 1928 2174 3856 4348 4579 7712 8696 9158 15424 17392 18316 20653 34784 36632 41306 69568 73264 82612 146528 165224 261967 293056 313921 330448 523934 627842 660896 1047868 1255684 1321792 2095736 2511368 4191472 4977373 5022736 5964499 8382944 9954746 10045472 11928998 16765888 19909492 20090944 23857996 39818984 47715992 75654961 79637968 95431984 151309922 159275936 190863968 302619844 318551872 341232127 381727936 605239688 682464254 1210479376 1364928508 1437444259 2420958752 2729857016 2874888518 4841917504 5459714032 5749777036 6483410413 10919428064 11499554072 12966820826 21838856128 22999108144 25933641652 45998216288 51867283304 82236942607 91996432576 103734566608 164473885214 207469133216 328947770428 414938266432 657895540856 1315791081712 1562501909533 2631582163424 3125003819066 5263164326848 6250007638132 12500015276264 25000030552528 50000061105056 100000122210112