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103422004224 = 21037114091069
BaseRepresentation
bin110000001010001101…
…1101000110000000000
3100212221122202011112220
41200110123220300000
53143302013113344
6115302244251040
710320615350130
oct1402433506000
9325848664486
10103422004224
113a952030570
12180639a0a80
1399a276b006
145011718ac0
152a5488bc19
hex18146e8c00

103422004224 has 352 divisors, whose sum is σ = 344839257600. Its totient is φ = 26772111360.

The previous prime is 103422004183. The next prime is 103422004241. The reversal of 103422004224 is 422400224301.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1034220042242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103422004194 and 103422004203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96745962 + ... + 96747030.

Almost surely, 2103422004224 is an apocalyptic number.

103422004224 is a gapful number since it is divisible by the number (14) 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 103422004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172419628800).

103422004224 is an abundant number, since it is smaller than the sum of its proper divisors (241417253376).

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

103422004224 is a wasteful number, since it uses less digits than its factorization.

103422004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 103422004224 its reverse (422400224301), we get a palindrome (525822228525).

The spelling of 103422004224 in words is "one hundred three billion, four hundred twenty-two million, four thousand, two hundred twenty-four".