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103002020031 = 31923411916281
BaseRepresentation
bin101111111101101100…
…1100001100010111111
3100211212101110202112210
41133323121201202333
53141422004120111
6115152442431503
710304325503331
oct1377331414277
9324771422483
10103002020031
113a756a56199
1217b67202593
139936750561
144db1a31451
152a2ca7c0a6
hex17fb6618bf

103002020031 has 32 divisors (see below), whose sum is σ = 154528980480. Its totient is φ = 60707750400.

The previous prime is 103002020003. The next prime is 103002020059. The reversal of 103002020031 is 130020200301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103002020003) and next prime (103002020059).

It is not a de Polignac number, because 103002020031 - 25 = 103002019999 is a prime.

It is a super-2 number, since 2×1030020200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103002019989 and 103002020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002020071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904390 + ... + 1011891.

It is an arithmetic number, because the mean of its divisors is an integer number (4829030640).

Almost surely, 2103002020031 is an apocalyptic number.

103002020031 is a deficient number, since it is larger than the sum of its proper divisors (51526960449).

103002020031 is a wasteful number, since it uses less digits than its factorization.

103002020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916367.

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

Adding to 103002020031 its reverse (130020200301), we get a palindrome (233022220332).

The spelling of 103002020031 in words is "one hundred three billion, two million, twenty thousand, thirty-one".

Divisors: 1 3 19 23 41 57 69 123 437 779 943 1311 2337 2829 17917 53751 1916281 5748843 36409339 44074463 78567521 109228017 132223389 235702563 837414797 1492782899 1807052983 2512244391 4478348697 5421158949 34334006677 103002020031