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13114113052212 = 22321721428289301
BaseRepresentation
bin1011111011010101111000…
…0011001100111000110100
31201102200211002100012120200
42332311132003030320310
53204330200420132322
643520312415200500
72522314642501614
oct276653603147064
951380732305520
1013114113052212
1141a6733a2a907
121579729b16130
1374186a33a413
14334a2558aa44
1517b1dc8d68ac
hexbed5e0cce34

13114113052212 has 36 divisors (see below), whose sum is σ = 35099537876676. Its totient is φ = 4114231545600.

The previous prime is 13114113052199. The next prime is 13114113052223. The reversal of 13114113052212 is 21225031141131.

13114113052212 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 1 + 130 + 522 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7731091274256 + 5383021777956 = 2780484^2 + 2320134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×131141130522122 (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 11 ways as a sum of consecutive naturals, for example, 10714144039 + ... + 10714145262.

It is an arithmetic number, because the mean of its divisors is an integer number (974987163241).

Almost surely, 213114113052212 is an apocalyptic number.

13114113052212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13114113052212 is an abundant number, since it is smaller than the sum of its proper divisors (21985424824464).

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

13114113052212 is a wasteful number, since it uses less digits than its factorization.

13114113052212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21428289328 (or 21428289323 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13114113052212 its reverse (21225031141131), we get a palindrome (34339144193343).

The spelling of 13114113052212 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirteen million, fifty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 21428289301 42856578602 64284867903 85713157204 128569735806 192854603709 257139471612 364280918117 385709207418 728561836234 771418414836 1092842754351 1457123672468 2185685508702 3278528263053 4371371017404 6557056526106 13114113052212