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22101122136 = 233171313891063
BaseRepresentation
bin10100100101010101…
…000101110001011000
32010001021011022222010
4110211111011301120
5330230341402021
614053023425520
71411454303262
oct244525056130
963037138863
1022101122136
1194115641a5
1243497552a0
132112a99482
1410d9384b32
15895455976
hex525545c58

22101122136 has 128 divisors (see below), whose sum is σ = 59156697600. Its totient is φ = 6856611840.

The previous prime is 22101122117. The next prime is 22101122137. The reversal of 22101122136 is 63122110122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101122137) 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, 20790741 + ... + 20791803.

It is an arithmetic number, because the mean of its divisors is an integer number (462161700).

Almost surely, 222101122136 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 22101122136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29578348800).

22101122136 is an abundant number, since it is smaller than the sum of its proper divisors (37055575464).

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

22101122136 is a wasteful number, since it uses less digits than its factorization.

22101122136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 22101122136 its reverse (63122110122), we get a palindrome (85223232258).

The spelling of 22101122136 in words is "twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 204 262 389 393 408 524 778 786 1048 1063 1167 1556 1572 2126 2227 2334 3112 3144 3189 4252 4454 4668 6378 6613 6681 8504 8908 9336 12756 13226 13362 17816 18071 19839 25512 26452 26724 36142 39678 50959 52904 53448 54213 72284 79356 101918 108426 139253 144568 152877 158712 203836 216852 278506 305754 407672 413507 417759 433704 557012 611508 827014 835518 866303 1114024 1223016 1240521 1654028 1671036 1732606 2367301 2481042 2598909 3308056 3342072 3465212 4734602 4962084 5197818 6930424 7029619 7101903 9469204 9924168 10395636 14059238 14203806 18938408 20791272 21088857 28118476 28407612 42177714 54169417 56236952 56815224 84355428 108338834 162508251 168710856 216677668 325016502 433355336 650033004 920880089 1300066008 1841760178 2762640267 3683520356 5525280534 7367040712 11050561068 22101122136