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21122652204 = 2234374737489
BaseRepresentation
bin10011101011000000…
…100001100000101100
32000112001222220120000
4103223000201200230
5321224344332304
613411551424300
71345303403253
oct235300414054
960461886500
1021122652204
118a5a206265
124115b25090
131cb8159c94
14104543d79a
158395c8939
hex4eb02182c

21122652204 has 120 divisors (see below), whose sum is σ = 57919350720. Its totient is φ = 6704653824.

The previous prime is 21122652119. The next prime is 21122652217. The reversal of 21122652204 is 40225622112.

21122652204 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 2 + 652 + 2 + 0 + 4 = 666.

It is a super-2 number, since 2×211226522042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 544692 + ... + 582180.

It is an arithmetic number, because the mean of its divisors is an integer number (482661256).

Almost surely, 221122652204 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 21122652204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28959675360).

21122652204 is an abundant number, since it is smaller than the sum of its proper divisors (36796698516).

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

21122652204 is a wasteful number, since it uses less digits than its factorization.

21122652204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37589 (or 37578 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 21122652204 in words is "twenty-one billion, one hundred twenty-two million, six hundred fifty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 47 54 74 81 94 108 111 141 148 162 188 222 282 324 333 423 444 564 666 846 999 1269 1332 1692 1739 1998 2538 2997 3478 3807 3996 5076 5217 5994 6956 7614 10434 11988 15228 15651 20868 31302 37489 46953 62604 74978 93906 112467 140859 149956 187812 224934 281718 337401 449868 563436 674802 1012203 1349604 1387093 1761983 2024406 2774186 3036609 3523966 4048812 4161279 5285949 5548372 6073218 7047932 8322558 10571898 12146436 12483837 15857847 16645116 21143796 24967674 31715694 37451511 47573541 49935348 63431388 65193371 74903022 95147082 112354533 130386742 142720623 149806044 190294164 195580113 224709066 260773484 285441246 391160226 449418132 570882492 586740339 782320452 1173480678 1760221017 2346961356 3520442034 5280663051 7040884068 10561326102 21122652204