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103434131412 = 22338963106853
BaseRepresentation
bin110000001010100100…
…1111001011111010100
3100212222111120021221000
41200111021321133110
53143313114201122
6115303400223300
710321123416303
oct1402511713724
9325874507830
10103434131412
113a958963937
1218067a6ab30
1399a5125b71
14501319443a
152a559850ac
hex18152797d4

103434131412 has 48 divisors (see below), whose sum is σ = 268194991680. Its totient is φ = 34473874464.

The previous prime is 103434131401. The next prime is 103434131443. The reversal of 103434131412 is 214131434301.

103434131412 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 341 + 314 + 1 + 2 = 666.

It is a super-2 number, since 2×1034341314122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914578 + ... + 1021430.

It is an arithmetic number, because the mean of its divisors is an integer number (5587395660).

Almost surely, 2103434131412 is an apocalyptic number.

103434131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103434131412 is an abundant number, since it is smaller than the sum of its proper divisors (164760860268).

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

103434131412 is a wasteful number, since it uses less digits than its factorization.

103434131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115829 (or 115821 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103434131412 its reverse (214131434301), we get a palindrome (317565565713).

The spelling of 103434131412 in words is "one hundred three billion, four hundred thirty-four million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 8963 17926 26889 35852 53778 80667 106853 107556 161334 213706 242001 320559 322668 427412 484002 641118 961677 968004 1282236 1923354 2885031 3846708 5770062 11540124 957723439 1915446878 2873170317 3830893756 5746340634 8619510951 11492681268 17239021902 25858532853 34478043804 51717065706 103434131412