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200012314134321 = 321316346335416397
BaseRepresentation
bin101101011110100011111110…
…111011110100011100110001
3222020011222202001211220012100
4231132203332323310130301
5202204000204404244241
61545220215540051013
760062261412606663
oct5536437673643461
9866158661756170
10200012314134321
1158803823022767
121a523887393a69
13877b10752cab0
14375690d254533
15181cba51b19b6
hexb5e8feef4731

200012314134321 has 96 divisors (see below), whose sum is σ = 313852801213952. Its totient is φ = 122011622853120.

The previous prime is 200012314134313. The next prime is 200012314134329. The reversal of 200012314134321 is 123431413210002.

200012314134321 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 2 + 314 + 1 + 343 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (200012314134313) and next prime (200012314134329).

It is not a de Polignac number, because 200012314134321 - 23 = 200012314134313 is a prime.

It is a super-3 number, since 3×2000123141343213 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (200012314134329) 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, 31266577095 + ... + 31266583491.

Almost surely, 2200012314134321 is an apocalyptic number.

It is an amenable number.

200012314134321 is a deficient number, since it is larger than the sum of its proper divisors (113840487079631).

200012314134321 is a wasteful number, since it uses less digits than its factorization.

200012314134321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10583 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 200012314134321 its reverse (123431413210002), we get a palindrome (323443727344323).

The spelling of 200012314134321 in words is "two hundred trillion, twelve billion, three hundred fourteen million, one hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 163 463 489 1389 1467 2119 3541 4167 6019 6357 6397 10623 18057 19071 19191 31869 46033 54171 57573 75469 83161 138099 226407 249483 414297 577183 679221 748449 981097 1042711 1639483 1731549 2943291 2961811 3128133 4918449 5194647 7503379 8829873 8885433 9384399 13555243 14755347 21313279 22510137 22651777 26656299 38503543 40665729 63939837 67530411 67955331 115510629 121997187 191819511 203865993 267235729 294473101 346531887 482775193 801707187 883419303 1448325579 2405121561 2650257909 3474064477 3692239651 4344976737 6276077509 10422193431 10487772751 11076718953 18828232527 31266580293 31463318253 33230156859 47999115463 56484697581 94389954759 136341045763 143997346389 409023137289 431992039167 1227069411867 1709506958413 5128520875239 15385562625717 22223590459369 66670771378107 200012314134321