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21323607102 = 23371912631123
BaseRepresentation
bin10011110110111111…
…000110110000111110
32001001002010110212000
4103312333012300332
5322132320411402
613443530523130
71353263445510
oct236677066076
961032113760
1021323607102
119052690696
1241712964a6
13201a989ac5
141063dcdbb0
1584c070c1c
hex4f6fc6c3e

21323607102 has 128 divisors (see below), whose sum is σ = 54694379520. Its totient is φ = 6032141280.

The previous prime is 21323607101. The next prime is 21323607121. The reversal of 21323607102 is 20170632312.

21323607102 is a `hidden beast` number, since 21 + 3 + 23 + 607 + 10 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323607101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18987513 + ... + 18988635.

It is an arithmetic number, because the mean of its divisors is an integer number (427299840).

Almost surely, 221323607102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21323607102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27347189760).

21323607102 is an abundant number, since it is smaller than the sum of its proper divisors (33370772418).

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

21323607102 is a wasteful number, since it uses less digits than its factorization.

21323607102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 21323607102 in words is "twenty-one billion, three hundred twenty-three million, six hundred seven thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 191 263 378 382 526 573 789 1123 1146 1337 1578 1719 1841 2246 2367 2674 3369 3438 3682 4011 4734 5157 5523 6738 7101 7861 8022 10107 10314 11046 12033 14202 15722 16569 20214 23583 24066 30321 33138 36099 47166 49707 50233 60642 70749 72198 99414 100466 141498 150699 212247 214493 295349 301398 351631 424494 428986 452097 590698 643479 703262 886047 904194 1054893 1286958 1356291 1501451 1772094 1930437 2067443 2109786 2658141 2712582 3002902 3164679 3860874 4134886 4504353 5316282 5791311 6202329 6329358 7974423 9008706 9494037 11582622 12404658 13513059 15948846 18606987 18988074 27026118 37213974 40539177 55820961 56411659 81078354 111641922 112823318 169234977 338469954 394881613 507704931 789763226 1015409862 1184644839 1523114793 2369289678 3046229586 3553934517 7107869034 10661803551 21323607102