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13102000112112 = 2438273061107827
BaseRepresentation
bin1011111010101000110000…
…0100000000000111110000
31201101112112220201002112120
42332222030010000013300
53204130344012041422
643510550432554240
72521405530266502
oct276521404000760
951345486632476
1013102000112112
1141a158854970a
1215773093b2980
13740689981242
143341d696dd72
1517ac2e2a745c
hexbea8c1001f0

13102000112112 has 80 divisors (see below), whose sum is σ = 33899146065792. Its totient is φ = 4360586952960.

The previous prime is 13102000112083. The next prime is 13102000112141. The reversal of 13102000112112 is 21121100020131.

It is an interprime number because it is at equal distance from previous prime (13102000112083) and next prime (13102000112141).

It is a junction number, because it is equal to n+sod(n) for n = 13102000112091 and 13102000112100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121455543 + ... + 121563369.

Almost surely, 213102000112112 is an apocalyptic number.

13102000112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13102000112112 is an abundant number, since it is smaller than the sum of its proper divisors (20797145953680).

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

13102000112112 is a wasteful number, since it uses less digits than its factorization.

13102000112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111726 (or 111720 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 13102000112112 its reverse (21121100020131), we get a palindrome (34223100132243).

The spelling of 13102000112112 in words is "thirteen trillion, one hundred two billion, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 827 1654 2481 3061 3308 4962 6122 6616 9183 9924 12244 13232 18366 19848 24488 36732 39696 48976 73464 107827 146928 215654 323481 431308 646962 862616 1293924 1725232 2531447 2587848 5062894 5175696 7594341 10125788 15188682 20251576 30377364 40503152 60754728 89172929 121509456 178345858 267518787 330058447 356691716 535037574 660116894 713383432 990175341 1070075148 1320233788 1426766864 1980350682 2140150296 2640467576 3960701364 4280300592 5280935152 7921402728 15842805456 272958335669 545916671338 818875007007 1091833342676 1637750014014 2183666685352 3275500028028 4367333370704 6551000056056 13102000112112