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214203311203032 = 23324123346952879
BaseRepresentation
bin110000101101000100011000…
…010001100010001011011000
31001002102122012001110020110200
4300231010120101202023120
5211034001340131444112
62035323350453142200
763055451510464344
oct6055043021421330
91032378161406420
10214203311203032
11622851289a5a68
122003605362a960
13926a393537618
143ac76d1c28624
1519b6dbde78cdc
hexc2d1184622d8

214203311203032 has 144 divisors (see below), whose sum is σ = 594657701196000. Its totient is φ = 69656214781440.

The previous prime is 214203311203027. The next prime is 214203311203081. The reversal of 214203311203032 is 230302113302412.

214203311203032 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 0 + 331 + 1 + 20 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214203311202987 and 214203311203005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4050793569 + ... + 4050846447.

Almost surely, 2214203311203032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214203311203032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297328850598000).

214203311203032 is an abundant number, since it is smaller than the sum of its proper divisors (380454389992968).

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

214203311203032 is a wasteful number, since it uses less digits than its factorization.

214203311203032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86442 (or 86394 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 214203311203032 its reverse (230302113302412), we get a palindrome (444505424505444).

The spelling of 214203311203032 in words is "two hundred fourteen trillion, two hundred three billion, three hundred eleven million, two hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 1681 2952 3362 5043 6724 10086 13448 15129 20172 30258 33469 40344 52879 60516 66938 100407 105758 121032 133876 158637 200814 211516 267752 301221 317274 401628 423032 475911 602442 634548 803256 951822 1204884 1269096 1372229 1903644 2168039 2409768 2744458 3807288 4116687 4336078 5488916 6504117 8233374 8672156 10977832 12350061 13008234 16466748 17344312 19512351 24700122 26016468 32933496 39024702 49400244 52032936 56261389 78049404 88889599 98800488 112522778 156098808 168784167 177779198 225045556 266668797 337568334 355558396 450091112 506352501 533337594 675136668 711116792 800006391 1012705002 1066675188 1350273336 1600012782 1769807251 2025410004 2133350376 3200025564 3539614502 4050820008 5309421753 6400051128 7079229004 10618843506 14158458008 15928265259 21237687012 31856530518 42475374024 63713061036 72562097291 127426122072 145124194582 217686291873 290248389164 435372583746 580496778328 653058875619 870745167492 1306117751238 1741490334984 2612235502476 2975045988931 5224471004952 5950091977862 8925137966793 11900183955724 17850275933586 23800367911448 26775413900379 35700551867172 53550827800758 71401103734344 107101655601516 214203311203032