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103013142435 = 3257595542811
BaseRepresentation
bin101111111110000001…
…1111100111110100011
3100211220011101211121200
41133330003330332203
53141432331024220
6115153521052243
710304522156220
oct1377403747643
9324804354550
10103013142435
113a762262665
1217b6aa87083
139938b45c68
144db32c8947
152a2da27890
hex17fc0fcfa3

103013142435 has 48 divisors (see below), whose sum is σ = 207522881280. Its totient is φ = 46293549120.

The previous prime is 103013142433. The next prime is 103013142439. The reversal of 103013142435 is 534241310301.

It is a happy number.

103013142435 is a `hidden beast` number, since 1 + 0 + 301 + 314 + 2 + 43 + 5 = 666.

It is not a de Polignac number, because 103013142435 - 21 = 103013142433 is a prime.

It is a super-2 number, since 2×1030131424352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103013142399 and 103013142408.

It is not an unprimeable number, because it can be changed into a prime (103013142431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2752821 + ... + 2789990.

It is an arithmetic number, because the mean of its divisors is an integer number (4323393360).

Almost surely, 2103013142435 is an apocalyptic number.

103013142435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103013142435 is an abundant number, since it is smaller than the sum of its proper divisors (104509738845).

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

103013142435 is a wasteful number, since it uses less digits than its factorization.

103013142435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542888 (or 5542885 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 103013142435 its reverse (534241310301), we get a palindrome (637254452736).

The spelling of 103013142435 in words is "one hundred three billion, thirteen million, one hundred forty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 531 885 1239 2065 2655 3717 6195 18585 5542811 16628433 27714055 38799677 49885299 83142165 116399031 193998385 249426495 327025849 349197093 581995155 981077547 1635129245 1745985465 2289180943 2943232641 4905387735 6867542829 11445904715 14716163205 20602628487 34337714145 103013142435