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13102000132023 = 33111719791728827
BaseRepresentation
bin1011111010101000110000…
…0100000100111110110111
31201101112112220202002212000
42332222030010010332313
53204130344013211043
643510550433230343
72521405530411525
oct276521404047667
951345486662760
1013102000132023
1141a1588562670
1215773094023b3
1374068998a31a
143341d6977315
1517ac2e2ad2d3
hexbea8c104fb7

13102000132023 has 128 divisors (see below), whose sum is σ = 23899318272000. Its totient is φ = 6990542507520.

The previous prime is 13102000132021. The next prime is 13102000132063. The reversal of 13102000132023 is 32023100020131.

13102000132023 is a `hidden beast` number, since 1 + 310 + 200 + 0 + 132 + 0 + 23 = 666.

It is not a de Polignac number, because 13102000132023 - 21 = 13102000132021 is a prime.

It is a super-3 number, since 3×131020001320233 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13102000131987 and 13102000132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102000132021) 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 127 ways as a sum of consecutive naturals, for example, 6714136 + ... + 8442962.

It is an arithmetic number, because the mean of its divisors is an integer number (186713424000).

Almost surely, 213102000132023 is an apocalyptic number.

13102000132023 is a deficient number, since it is larger than the sum of its proper divisors (10797318139977).

13102000132023 is a wasteful number, since it uses less digits than its factorization.

13102000132023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728962 (or 1728956 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13102000132023 its reverse (32023100020131), we get a palindrome (45125100152154).

The spelling of 13102000132023 in words is "thirteen trillion, one hundred two billion, one hundred thirty-two thousand, twenty-three".

Divisors: 1 3 9 11 17 19 27 33 51 57 79 99 153 171 187 209 237 297 323 459 513 561 627 711 869 969 1343 1501 1683 1881 2133 2607 2907 3553 4029 4503 5049 5643 7821 8721 10659 12087 13509 14773 16511 23463 25517 31977 36261 40527 44319 49533 76551 95931 132957 148599 229653 280687 398871 445797 688959 842061 1728827 2526183 5186481 7578549 15559443 19017097 29390059 32847713 46678329 57051291 88170177 98543139 136577333 171153873 264510531 295629417 323290649 361324843 409731999 513461619 558411121 793531593 886888251 969871947 1083974529 1229195997 1502350663 1675233363 2321814661 2594969327 2909615841 3251923587 3687587991 4507051989 5025700089 6142522331 6965443983 7784907981 8728847523 9755770761 13521155967 15077100267 18427566993 20896331949 23354723943 25539961271 28544662597 40563467901 44114478559 55282700979 62688995847 70064171829 76619883813 85633987791 132343435677 165848102937 229859651439 256901963373 397030307031 485259264149 689578954317 770705890119 1191090921093 1455777792447 4367333377341 13102000132023