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21000210231132 = 22331148619363581
BaseRepresentation
bin1001100011001011111100…
…00100100010111101011100
32202100121012202110210001000
410301211332010202331130
510223031412304344012
6112355210254350300
74265133533506446
oct461457604427534
982317182423030
1021000210231132
116767159223770
122431b93abb390
13b94407ca96a2
145285b658b496
152663e4cc7ddc
hex13197e122f5c

21000210231132 has 96 divisors (see below), whose sum is σ = 59395918982400. Its totient is φ = 6363551678400.

The previous prime is 21000210231113. The next prime is 21000210231199. The reversal of 21000210231132 is 23113201200012.

21000210231132 is a `hidden beast` number, since 210 + 0 + 0 + 210 + 231 + 13 + 2 = 666.

21000210231132 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210002102311322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57577582 + ... + 57941162.

It is an arithmetic number, because the mean of its divisors is an integer number (618707489400).

Almost surely, 221000210231132 is an apocalyptic number.

21000210231132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21000210231132 is an abundant number, since it is smaller than the sum of its proper divisors (38395708751268).

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

21000210231132 is a wasteful number, since it uses less digits than its factorization.

21000210231132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412224 (or 412216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21000210231132 its reverse (23113201200012), we get a palindrome (44113411431144).

The spelling of 21000210231132 in words is "twenty-one trillion, two hundred ten million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 48619 97238 145857 194476 291714 363581 437571 534809 583428 727162 875142 1069618 1090743 1312713 1454324 1604427 1750284 2139236 2181486 2625426 3208854 3272229 3999391 4362972 4813281 5250852 6417708 6544458 7998782 9626562 9816687 11998173 13088916 14439843 15997564 19253124 19633374 23996346 28879686 35994519 39266748 47992692 57759372 71989038 107983557 143978076 215967114 431934228 17676944639 35353889278 53030833917 70707778556 106061667834 159092501751 194446391029 212123335668 318185003502 388892782058 477277505253 583339173087 636370007004 777785564116 954555010506 1166678346174 1750017519261 1909110021012 2333356692348 3500035038522 5250052557783 7000070077044 10500105115566 21000210231132