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103130443431 = 35424405117
BaseRepresentation
bin110000000001100001…
…1011010111010100111
3100212012100010100100000
41200003003122322213
53142202343142211
6115213311152343
710310445206511
oct1400303327247
9325170110300
10103130443431
113a8124a0634
1217ba22156b3
139957236532
144dc4b00bb1
152a38e98656
hex18030daea7

103130443431 has 12 divisors (see below), whose sum is σ = 154483462952. Its totient is φ = 68753628792.

The previous prime is 103130443421. The next prime is 103130443453. The reversal of 103130443431 is 134344031301.

103130443431 is a `hidden beast` number, since 1 + 0 + 313 + 0 + 4 + 4 + 343 + 1 = 666.

It is not a de Polignac number, because 103130443431 - 210 = 103130442407 is a prime.

It is a super-2 number, since 2×1031304434312 (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 Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103130443395 and 103130443404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130443411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 212202316 + ... + 212202801.

Almost surely, 2103130443431 is an apocalyptic number.

103130443431 is a deficient number, since it is larger than the sum of its proper divisors (51353019521).

103130443431 is an frugal number, since it uses more digits than its factorization.

103130443431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424405132 (or 424405120 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103130443431 its reverse (134344031301), we get a palindrome (237474474732).

The spelling of 103130443431 in words is "one hundred three billion, one hundred thirty million, four hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 243 424405117 1273215351 3819646053 11458938159 34376814477 103130443431