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21253213631133 = 32112344947943399
BaseRepresentation
bin1001101010100011001100…
…01111111011001010011101
32210020210021000000011102100
410311101212033323022131
510241203040142144013
6113111331435315313
74322331306102441
oct465214617731235
983223230004370
1021253213631133
11685448a02a880
1224730222abb39
13bb2228370533
14536937c0c821
1526cca1608473
hex1354663fb29d

21253213631133 has 96 divisors (see below), whose sum is σ = 35097753600000. Its totient is φ = 12267316131840.

The previous prime is 21253213631129. The next prime is 21253213631137. The reversal of 21253213631133 is 33113631235212.

21253213631133 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 3 + 2 + 1 + 3 + 631 + 13 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (21253213631129) and next prime (21253213631137).

It is not a de Polignac number, because 21253213631133 - 22 = 21253213631129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21253213631137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489694968 + ... + 489738366.

It is an arithmetic number, because the mean of its divisors is an integer number (365601600000).

Almost surely, 221253213631133 is an apocalyptic number.

21253213631133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21253213631133 is a deficient number, since it is larger than the sum of its proper divisors (13844539968867).

21253213631133 is a wasteful number, since it uses less digits than its factorization.

21253213631133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44367 (or 44364 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

Adding to 21253213631133 its reverse (33113631235212), we get a palindrome (54366844866345).

The spelling of 21253213631133 in words is "twenty-one trillion, two hundred fifty-three billion, two hundred thirteen million, six hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 23 33 69 99 207 253 449 479 759 1347 1437 2277 4041 4311 4939 5269 10327 11017 14817 15807 30981 33051 43399 44451 47421 92943 99153 113597 121187 130197 215071 340791 363561 390591 477389 645213 998177 1022373 1090683 1432167 1935639 2365781 2994531 4296501 4946633 7097343 8983593 10979947 14839899 19486151 20788121 21292029 32939841 44519697 54412963 58458453 62364363 98819523 163238889 175375359 187093089 214347661 228669331 448181473 478126783 489716667 643042983 686007993 1344544419 1434380349 1929128949 2058023979 4033633257 4303141047 4929996203 5259394613 9333866329 14789988609 15778183839 28001598987 44369965827 47334551517 84004796961 102672529619 214678925567 308017588857 644036776701 924052766571 1932110330103 2361468181237 7084404543711 21253213631133