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102201333200430 = 235127277409236771
BaseRepresentation
bin10111001111001110011010…
…001010010011011000101110
3111101212100111122002122220220
4113033032122022103120232
5101343431312244403210
61001210351100552210
730345542211463122
oct2717163212233056
9441770448078826
10102201333200430
112a6233842323a2
12b567377852666
13450470cc8a079
141b347dc867582
15bc3757cbdc70
hex5cf39a29362e

102201333200430 has 128 divisors (see below), whose sum is σ = 248714703912960. Its totient is φ = 26875493729280.

The previous prime is 102201333200363. The next prime is 102201333200453. The reversal of 102201333200430 is 34002333102201.

It is a super-2 number, since 2×1022013332004302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102201333200430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431527945 + ... + 431764715.

It is an arithmetic number, because the mean of its divisors is an integer number (1943083624320).

Almost surely, 2102201333200430 is an apocalyptic number.

102201333200430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102201333200430 is an abundant number, since it is smaller than the sum of its proper divisors (146513370712530).

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

102201333200430 is a wasteful number, since it uses less digits than its factorization.

102201333200430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237594.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102201333200430 its reverse (34002333102201), we get a palindrome (136203666302631).

The spelling of 102201333200430 in words is "one hundred two trillion, two hundred one billion, three hundred thirty-three million, two hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 127 254 277 381 409 554 635 762 818 831 1227 1270 1385 1662 1905 2045 2454 2770 3810 4090 4155 6135 8310 12270 35179 51943 70358 103886 105537 113293 155829 175895 211074 226586 236771 259715 311658 339879 351790 473542 519430 527685 566465 679758 710313 779145 1055370 1132930 1183855 1420626 1558290 1699395 2367710 3398790 3551565 7103130 14388211 28776422 30069917 43164633 60139834 65585567 71941055 86329266 90209751 96839339 131171134 143882110 150349585 180419502 193678678 196756701 215823165 290518017 300699170 327927835 393513402 431646330 451048755 484196695 581036034 655855670 902097510 968393390 983783505 1452590085 1967567010 2905180170 8329367009 12298596053 16658734018 24597192106 24988101027 26824496903 36895788159 41646835045 49976202054 53648993806 61492980265 73791576318 80473490709 83293670090 122985960530 124940505135 134122484515 160946981418 184478940795 249881010270 268244969030 368957881590 402367453545 804734907090 3406711106681 6813422213362 10220133320043 17033555533405 20440266640086 34067111066810 51100666600215 102201333200430