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103312022031 = 3283233359281
BaseRepresentation
bin110000000110111100…
…0000101101000001111
3100212122222210111100100
41200031320011220033
53143040334201111
6115243315102143
710315111461261
oct1401570055017
9325588714310
10103312022031
113a8a5a41299
1218032ba1953
139985a40aaa
145000c89b31
152a49db4756
hex180de05a0f

103312022031 has 24 divisors (see below), whose sum is σ = 151093693296. Its totient is φ = 68014552320.

The previous prime is 103312021991. The next prime is 103312022041. The reversal of 103312022031 is 130220213301.

103312022031 is a `hidden beast` number, since 103 + 312 + 0 + 220 + 31 = 666.

It is not a de Polignac number, because 103312022031 - 219 = 103311497743 is a prime.

It is a super-2 number, since 2×1033120220312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103312021995 and 103312022013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312022041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1713111 + ... + 1772391.

It is an arithmetic number, because the mean of its divisors is an integer number (6295570554).

Almost surely, 2103312022031 is an apocalyptic number.

103312022031 is a deficient number, since it is larger than the sum of its proper divisors (47781671265).

103312022031 is a wasteful number, since it uses less digits than its factorization.

103312022031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61703 (or 61700 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103312022031 its reverse (130220213301), we get a palindrome (233532235332).

The spelling of 103312022031 in words is "one hundred three billion, three hundred twelve million, twenty-two thousand, thirty-one".

Divisors: 1 3 9 83 249 747 2333 6999 20997 59281 177843 193639 533529 580917 1742751 4920323 14760969 44282907 138302573 414907719 1244723157 11479113559 34437340677 103312022031