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213220114112 = 2623299075507
BaseRepresentation
bin1100011010010011101…
…0001011111011000000
3202101100200021001202102
43012210322023323000
511443133322122422
6241541343005532
721255536031515
oct3064472137300
9671320231672
10213220114112
1182476217645
12353a6b998a8
131715019b4c5
14a469b8730c
15582dda5192
hex31a4e8bec0

213220114112 has 112 divisors (see below), whose sum is σ = 457315580160. Its totient is φ = 98332050432.

The previous prime is 213220114103. The next prime is 213220114147. The reversal of 213220114112 is 211411022312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38715263 + ... + 38720769.

Almost surely, 2213220114112 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 213220114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228657790080).

213220114112 is an abundant number, since it is smaller than the sum of its proper divisors (244095466048).

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

213220114112 is a wasteful number, since it uses less digits than its factorization.

213220114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 213220114112 its reverse (211411022312), we get a palindrome (424631136424).

The spelling of 213220114112 in words is "two hundred thirteen billion, two hundred twenty million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 184 232 368 464 667 736 907 928 1334 1472 1814 1856 2668 3628 5336 5507 7256 10672 11014 14512 20861 21344 22028 26303 29024 41722 42688 44056 52606 58048 83444 88112 105212 126661 159703 166888 176224 210424 253322 319406 333776 352448 420848 506644 604969 638812 667552 841696 1013288 1209938 1277624 1335104 1683392 2026576 2419876 2555248 3673169 4053152 4839752 4994849 5110496 7346338 8106304 9679504 9989698 10220992 14692676 19359008 19979396 29385352 38718016 39958792 58770704 79917584 114881527 117541408 144850621 159835168 229763054 235082816 289701242 319670336 459526108 579402484 919052216 1158804968 1838104432 2317609936 3331564283 3676208864 4635219872 6663128566 7352417728 9270439744 13326257132 26652514264 53305028528 106610057056 213220114112