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103422002320 = 245713197110531
BaseRepresentation
bin110000001010001101…
…1101000010010010000
3100212221122202001221101
41200110123220102100
53143302013033240
6115302244234144
710320615341440
oct1402433502220
9325848661841
10103422002320
113a95202a09a
121806399b954
1399a276a1a0
145011718120
152a5488b39a
hex18146e8490

103422002320 has 320 divisors, whose sum is σ = 315939778560. Its totient is φ = 30569011200.

The previous prime is 103422002317. The next prime is 103422002323. The reversal of 103422002320 is 23200224301.

It is an interprime number because it is at equal distance from previous prime (103422002317) and next prime (103422002323).

It is a super-2 number, since 2×1034220023202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (103422002323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9815455 + ... + 9825985.

It is an arithmetic number, because the mean of its divisors is an integer number (987311808).

Almost surely, 2103422002320 is an apocalyptic number.

103422002320 is a gapful number since it is divisible by the number (10) 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 103422002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157969889280).

103422002320 is an abundant number, since it is smaller than the sum of its proper divisors (212517776240).

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

103422002320 is a wasteful number, since it uses less digits than its factorization.

103422002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 103422002320 its reverse (23200224301), we get a palindrome (126622226621).

The spelling of 103422002320 in words is "one hundred three billion, four hundred twenty-two million, two thousand, three hundred twenty".