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102023203032 = 23322593546467
BaseRepresentation
bin101111100000100001…
…1101000100011011000
3100202100011122201001100
41133001003220203120
53132420414444112
6114511355151400
710241141626422
oct1370103504330
9322304581040
10102023203032
113a2a4490523
1217933445560
13980ba1c0ba
144d1ba39812
1529c1b822dc
hex17c10e88d8

102023203032 has 48 divisors (see below), whose sum is σ = 276419908440. Its totient is φ = 33994556928.

The previous prime is 102023203019. The next prime is 102023203033. The reversal of 102023203032 is 230302320201.

It is a happy number.

It is a super-3 number, since 3×1020232030323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102023202996 and 102023203014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102023203033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86538 + ... + 459929.

Almost surely, 2102023203032 is an apocalyptic number.

102023203032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102023203032 is an abundant number, since it is smaller than the sum of its proper divisors (174396705408).

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

102023203032 is a wasteful number, since it uses less digits than its factorization.

102023203032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549072 (or 549065 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102023203032 its reverse (230302320201), we get a palindrome (332325523233).

The spelling of 102023203032 in words is "one hundred two billion, twenty-three million, two hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2593 5186 7779 10372 15558 20744 23337 31116 46674 62232 93348 186696 546467 1092934 1639401 2185868 3278802 4371736 4918203 6557604 9836406 13115208 19672812 39345624 1416988931 2833977862 4250966793 5667955724 8501933586 11335911448 12752900379 17003867172 25505800758 34007734344 51011601516 102023203032