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13900187213001 = 3217264327533019
BaseRepresentation
bin1100101001000110001110…
…1110001001110011001001
31211012211210221120000110200
43022101203232021303021
53310220040411304001
645321354032402413
72633153411561415
oct312214356116311
954184727500420
1013900187213001
11447a044339481
121685b486a6409
1379aa2217253b
14360ab6221d45
15191898344086
hexca463b89cc9

13900187213001 has 72 divisors (see below), whose sum is σ = 21376592284320. Its totient is φ = 8702075510784.

The previous prime is 13900187212979. The next prime is 13900187213041. The reversal of 13900187213001 is 10031278100931.

It is not a de Polignac number, because 13900187213001 - 26 = 13900187212937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13900187213041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4604234070 + ... + 4604237088.

It is an arithmetic number, because the mean of its divisors is an integer number (296897115060).

Almost surely, 213900187213001 is an apocalyptic number.

It is an amenable number.

13900187213001 is a deficient number, since it is larger than the sum of its proper divisors (7476405071319).

13900187213001 is a wasteful number, since it uses less digits than its factorization.

13900187213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 13900187213001 in words is "thirteen trillion, nine hundred billion, one hundred eighty-seven million, two hundred thirteen thousand, one".

Divisors: 1 3 9 17 51 153 289 643 867 1929 2601 2753 3019 5787 8259 9057 10931 24777 27171 32793 46801 51323 98379 140403 153969 185827 421209 461907 557481 795617 872491 1672443 1770179 1941217 2386851 2617473 5310537 5823651 7160553 7852419 8311307 15931611 17470953 24933921 30093043 33000689 74801763 90279129 99002067 141292219 270837387 297006201 423876657 511581731 561011713 1271629971 1534745193 1683035139 2401967723 4604235579 5049105417 5344170401 7205903169 16032511203 21617709507 48097533609 90850896817 272552690451 817658071353 1544465245889 4633395737667 13900187213001