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22121302222998 = 232112337131285251
BaseRepresentation
bin1010000011110100001000…
…10111000110100010010110
32220022202221120211202020200
411001322010113012202112
510344413411332113443
6115014215210441330
74442132330301606
oct501720427064226
986282846752220
1022121302222998
1170596564493a0
12259330b433246
13c46050768204
14566968d92c06
1528565c2e7dd3
hex141e845c6896

22121302222998 has 96 divisors (see below), whose sum is σ = 56034646117632. Its totient is φ = 6238675080000.

The previous prime is 22121302222991. The next prime is 22121302223029. The reversal of 22121302222998 is 89922220312122.

22121302222998 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 130 + 222 + 299 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121302222991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65474128 + ... + 65811123.

It is an arithmetic number, because the mean of its divisors is an integer number (583694230392).

Almost surely, 222121302222998 is an apocalyptic number.

22121302222998 is an abundant number, since it is smaller than the sum of its proper divisors (33913343894634).

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

22121302222998 is a wasteful number, since it uses less digits than its factorization.

22121302222998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131285330 (or 131285327 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22121302222998 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred two million, two hundred twenty-two thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 99 111 138 198 207 222 253 333 407 414 506 666 759 814 851 1221 1518 1702 2277 2442 2553 3663 4554 5106 7326 7659 9361 15318 18722 28083 56166 84249 168498 131285251 262570502 393855753 787711506 1181567259 1444137761 2363134518 2888275522 3019560773 4332413283 4857554287 6039121546 8664826566 9058682319 9715108574 12997239849 14572662861 18117364638 25994479698 27176046957 29145325722 33215168503 43717988583 53433097157 54352093914 66430337006 87435977166 99645505509 106866194314 111723748601 160299291471 199291011018 223447497202 298936516527 320598582942 335171245803 480897874413 597873033054 670342491606 961795748826 1005513737409 1228961234611 2011027474818 2457922469222 3686883703833 7373767407666 11060651111499 22121302222998