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103432023240 = 233571310319187
BaseRepresentation
bin110000001010100000…
…1110110110011001000
3100212222100121012001120
41200111001312303020
53143312044220430
6115303243115240
710321066456110
oct1402501666310
9325870535046
10103432023240
113a957753a47
1218067212b20
1399a4868420
145012ba6040
152a556ba610
hex1815076cc8

103432023240 has 256 divisors, whose sum is σ = 382314885120. Its totient is φ = 21799480320.

The previous prime is 103432023221. The next prime is 103432023259. The reversal of 103432023240 is 42320234301.

103432023240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103432023221) and next prime (103432023259).

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

It is a self number, because there is not a number n which added to its sum of digits gives 103432023240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11253927 + ... + 11263113.

It is an arithmetic number, because the mean of its divisors is an integer number (1493417520).

Almost surely, 2103432023240 is an apocalyptic number.

103432023240 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 103432023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191157442560).

103432023240 is an abundant number, since it is smaller than the sum of its proper divisors (278882861880).

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

103432023240 is a wasteful number, since it uses less digits than its factorization.

103432023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 103432023240 its reverse (42320234301), we get a palindrome (145752257541).

The spelling of 103432023240 in words is "one hundred three billion, four hundred thirty-two million, twenty-three thousand, two hundred forty".