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103112044431 = 311291011099787
BaseRepresentation
bin110000000000111110…
…1001110111110001111
3100212011001111120122120
41200001331032332033
53142133140410211
6115211412544023
710310132626224
oct1400175167617
9325131446576
10103112044431
113a803074150
1217b98022013
139953493a56
144dc24b194b
152a37561d06
hex1801f4ef8f

103112044431 has 64 divisors (see below), whose sum is σ = 158142758400. Its totient is φ = 59185728000.

The previous prime is 103112044429. The next prime is 103112044457. The reversal of 103112044431 is 134440211301.

It is not a de Polignac number, because 103112044431 - 21 = 103112044429 is a prime.

It is a super-2 number, since 2×1031120444312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103112046431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10530720 + ... + 10540506.

It is an arithmetic number, because the mean of its divisors is an integer number (2470980600).

Almost surely, 2103112044431 is an apocalyptic number.

103112044431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103112044431 is a deficient number, since it is larger than the sum of its proper divisors (55030713969).

103112044431 is a wasteful number, since it uses less digits than its factorization.

103112044431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10040.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103112044431 its reverse (134440211301), we get a palindrome (237552255732).

The spelling of 103112044431 in words is "one hundred three billion, one hundred twelve million, forty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 29 33 87 101 109 303 319 327 957 1111 1199 2929 3161 3333 3597 8787 9483 9787 11009 29361 32219 33027 34771 96657 104313 107657 121099 283823 319261 322971 363297 851469 957783 988487 1066783 2965461 3122053 3200349 3511871 9366159 10535613 10873357 11734613 28666123 30936707 32620071 35203839 85998369 92810121 107745083 315327353 323235249 340303777 945982059 1020911331 1185195913 3124607407 3555587739 9373822221 34370681477 103112044431