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103040210031 = 311196112132221
BaseRepresentation
bin101111111110110101…
…1001101010001101111
3100211222001100000101020
41133331223031101233
53142011243210111
6115200325145223
710305301222413
oct1377553152157
9324861300336
10103040210031
113a77656a980
1217b77b5b213
1399416322a5
144db6b32d43
152a310c2906
hex17fdacd46f

103040210031 has 64 divisors (see below), whose sum is σ = 160555676160. Its totient is φ = 58117824000.

The previous prime is 103040210027. The next prime is 103040210089. The reversal of 103040210031 is 130012040301.

It is not a de Polignac number, because 103040210031 - 22 = 103040210027 is a prime.

It is a super-2 number, since 2×1030402100312 (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 (103040210011) 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, 46392501 + ... + 46394721.

It is an arithmetic number, because the mean of its divisors is an integer number (2508682440).

Almost surely, 2103040210031 is an apocalyptic number.

103040210031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103040210031 is a deficient number, since it is larger than the sum of its proper divisors (57515466129).

103040210031 is a wasteful number, since it uses less digits than its factorization.

103040210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103040210031 its reverse (130012040301), we get a palindrome (233052250332).

The spelling of 103040210031 in words is "one hundred three billion, forty million, two hundred ten thousand, thirty-one".

Divisors: 1 3 11 19 33 57 61 183 209 627 671 1159 1213 2013 2221 3477 3639 6663 12749 13343 23047 24431 38247 40029 42199 69141 73293 73993 126597 135481 221979 253517 406443 464189 760551 813923 1392567 1405867 1490291 2441769 2574139 2694073 4217601 4470873 7722417 8082219 15464537 28315529 29634803 46393611 51187387 84946587 88904409 153562161 164338453 493015359 563061257 1689183771 1807722983 3122430607 5423168949 9367291821 34346736677 103040210031