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13145220011412 = 22322316079879197
BaseRepresentation
bin1011111101001001110000…
…1010110101010110010100
31201112200002222120110111200
42333102130022311112110
53210332402310331122
643542455233232500
72524465543340016
oct277223412652624
951480088513450
1013145220011412
114208947001755
12158376b702730
13744786b4b958
14336336a261b6
1517be0d7bd5ac
hexbf49c2b5594

13145220011412 has 72 divisors (see below), whose sum is σ = 34694478838656. Its totient is φ = 4188621036864.

The previous prime is 13145220011383. The next prime is 13145220011423. The reversal of 13145220011412 is 21411002254131.

13145220011412 is a `hidden beast` number, since 1 + 3 + 1 + 45 + 2 + 200 + 1 + 1 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3609003 + ... + 6270194.

It is an arithmetic number, because the mean of its divisors is an integer number (481867761648).

Almost surely, 213145220011412 is an apocalyptic number.

13145220011412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13145220011412 is an abundant number, since it is smaller than the sum of its proper divisors (21549258827244).

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

13145220011412 is a wasteful number, since it uses less digits than its factorization.

13145220011412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880837 (or 9880832 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13145220011412 its reverse (21411002254131), we get a palindrome (34556222265543).

The spelling of 13145220011412 in words is "thirteen trillion, one hundred forty-five billion, two hundred twenty million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1607 3214 4821 6428 9642 14463 19284 28926 36961 57852 73922 110883 147844 221766 332649 443532 665298 1330596 9879197 19758394 29637591 39516788 59275182 88912773 118550364 177825546 227221531 355651092 454443062 681664593 908886124 1363329186 2044993779 2726658372 4089987558 8179975116 15875869579 31751739158 47627608737 63503478316 95255217474 142882826211 190510434948 285765652422 365145000317 571531304844 730290000634 1095435000951 1460580001268 2190870001902 3286305002853 4381740003804 6572610005706 13145220011412