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11144232220212 = 22327135957657293
BaseRepresentation
bin1010001000101011100000…
…0000001011011000110100
31110110101012201000121202100
42202022320000023120310
52430041341422021322
635411331204342100
72230100314630140
oct242127000133064
943411181017670
1011144232220212
113607273616803
1212bb9b09a4930
1362ab86a63460
142a7552cc6220
15144d48c21dac
hexa22b800b634

11144232220212 has 144 divisors (see below), whose sum is σ = 35258588426880. Its totient is φ = 2889322216704.

The previous prime is 11144232220201. The next prime is 11144232220223. The reversal of 11144232220212 is 21202223244111.

11144232220212 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 423 + 2 + 2 + 20 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (11144232220201) and next prime (11144232220223).

It is a super-2 number, since 2×111442322202122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28635363 + ... + 29021930.

It is an arithmetic number, because the mean of its divisors is an integer number (244851308520).

Almost surely, 211144232220212 is an apocalyptic number.

11144232220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11144232220212 is an abundant number, since it is smaller than the sum of its proper divisors (24114356206668).

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

11144232220212 is a wasteful number, since it uses less digits than its factorization.

11144232220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57657382 (or 57657377 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11144232220212 its reverse (21202223244111), we get a palindrome (32346455464323).

The spelling of 11144232220212 in words is "eleven trillion, one hundred forty-four billion, two hundred thirty-two million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 59 63 78 84 91 117 118 126 156 177 182 234 236 252 273 354 364 413 468 531 546 708 767 819 826 1062 1092 1239 1534 1638 1652 2124 2301 2478 3068 3276 3717 4602 4956 5369 6903 7434 9204 10738 13806 14868 16107 21476 27612 32214 48321 64428 96642 193284 57657293 115314586 172971879 230629172 345943758 403601051 518915637 691887516 749544809 807202102 1037831274 1210803153 1499089618 1614404204 2075662548 2248634427 2421606306 2998179236 3401780287 3632409459 4497268854 4843212612 5246813663 6745903281 6803560574 7264818918 8994537708 10205340861 10493627326 13491806562 13607121148 14529637836 15740440989 20410681722 20987254652 23812462009 26983613124 30616022583 31480881978 40821363444 44223143731 47221322967 47624924018 61232045166 62961763956 71437386027 88446287462 94442645934 95249848036 122464090332 132669431193 142874772054 176892574924 188885291868 214312158081 265338862386 285749544108 309562006117 398008293579 428624316162 530677724772 619124012234 796016587158 857248632324 928686018351 1238248024468 1592033174316 1857372036702 2786058055053 3714744073404 5572116110106 11144232220212