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103022212032 = 2632661270587
BaseRepresentation
bin101111111110010011…
…0100011001111000000
3100211220210110121202200
41133330212203033000
53141442141241112
6115154443313200
710304662232205
oct1377446431700
9324823417680
10103022212032
113a7673977a3
1217b71b1b800
13993a9a019c
144db45a9cac
152a2e719cdc
hex17fc9a33c0

103022212032 has 84 divisors (see below), whose sum is σ = 295742401656. Its totient is φ = 34288657920.

The previous prime is 103022212021. The next prime is 103022212079. The reversal of 103022212032 is 230212220301.

103022212032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030222120322 (a number of 23 digits) contains 22 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 = 103022211996 and 103022212014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245443 + ... + 516029.

Almost surely, 2103022212032 is an apocalyptic number.

103022212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103022212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147871200828).

103022212032 is an abundant number, since it is smaller than the sum of its proper divisors (192720189624).

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

103022212032 is a wasteful number, since it uses less digits than its factorization.

103022212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271266 (or 271253 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103022212032 its reverse (230212220301), we get a palindrome (333234432333).

The spelling of 103022212032 in words is "one hundred three billion, twenty-two million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 661 1322 1983 2644 3966 5288 5949 7932 10576 11898 15864 21152 23796 31728 42304 47592 63456 95184 126912 190368 270587 380736 541174 811761 1082348 1623522 2164696 2435283 3247044 4329392 4870566 6494088 8658784 9741132 12988176 17317568 19482264 25976352 38964528 51952704 77929056 155858112 178858007 357716014 536574021 715432028 1073148042 1430864056 1609722063 2146296084 2861728112 3219444126 4292592168 5723456224 6438888252 8585184336 11446912448 12877776504 17170368672 25755553008 34340737344 51511106016 103022212032