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103200020031 = 3191211853577
BaseRepresentation
bin110000000011100110…
…0110101011000111111
3100212101012001012111010
41200013030311120333
53142323201120111
6115224234330303
710312251460653
oct1400714653077
9325335035433
10103200020031
113a8487a2559
1218001589993
139968787414
144dd0052a63
152a4013daa6
hex180733563f

103200020031 has 16 divisors (see below), whose sum is σ = 138976155648. Its totient is φ = 68115364800.

The previous prime is 103200020009. The next prime is 103200020087. The reversal of 103200020031 is 130020002301.

It is a happy number.

It is not a de Polignac number, because 103200020031 - 213 = 103200011839 is a prime.

It is a super-2 number, since 2×1032000200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103200019989 and 103200020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200070031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305886 + ... + 547691.

It is an arithmetic number, because the mean of its divisors is an integer number (8686009728).

Almost surely, 2103200020031 is an apocalyptic number.

103200020031 is a deficient number, since it is larger than the sum of its proper divisors (35776135617).

103200020031 is a wasteful number, since it uses less digits than its factorization.

103200020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853982.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103200020031 its reverse (130020002301), we get a palindrome (233220022332).

The spelling of 103200020031 in words is "one hundred three billion, two hundred million, twenty thousand, thirty-one".

Divisors: 1 3 191 211 573 633 40301 120903 853577 2560731 163033207 180104747 489099621 540314241 34400006677 103200020031