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21000201122358 = 2331719263368521
BaseRepresentation
bin1001100011001011111011…
…00001110011001000110110
32202100121012010100000011000
410301211331201303020312
510223031402441403413
6112355205331224130
74265133363211323
oct461457541631066
982317163300130
1021000201122358
116767154072157
122431b90a48046
13b9440613a693
145285b5299b4a
152663e40c9073
hex13197d873236

21000201122358 has 96 divisors (see below), whose sum is σ = 52149758865120. Its totient is φ = 6241545745920.

The previous prime is 21000201122357. The next prime is 21000201122363. The reversal of 21000201122358 is 85322110200012.

21000201122358 is a `hidden beast` number, since 2 + 100 + 0 + 201 + 1 + 2 + 2 + 358 = 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 (21000201122357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31352863 + ... + 32015658.

It is an arithmetic number, because the mean of its divisors is an integer number (543226654845).

Almost surely, 221000201122358 is an apocalyptic number.

21000201122358 is an abundant number, since it is smaller than the sum of its proper divisors (31149557742762).

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

21000201122358 is a wasteful number, since it uses less digits than its factorization.

21000201122358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63368587 (or 63368562 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21000201122358 in words is "twenty-one trillion, two hundred one million, one hundred twenty-two thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 361 459 513 646 722 918 969 1026 1083 1938 2166 2907 3249 5814 6137 6498 8721 9747 12274 17442 18411 19494 36822 55233 110466 165699 331398 63368521 126737042 190105563 380211126 570316689 1077264857 1140633378 1204001899 1710950067 2154529714 2408003798 3231794571 3421900134 3612005697 6463589142 7224011394 9695383713 10836017091 19390767426 20468032283 21672034182 22876036081 29086151139 32508051273 40936064566 45752072162 58172302278 61404096849 65016102546 68628108243 122808193698 137256216486 184212290547 205884324729 368424581094 388892613377 411768649458 552636871641 617652974187 777785226754 1105273743282 1166677840131 1235305948374 2333355680262 3500033520393 7000067040786 10500100561179 21000201122358