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152103240000 = 263254449941
BaseRepresentation
bin1000110110101000001…
…1110100000101000000
3112112121100002011202100
42031222003310011000
54443001412140000
6153513020150400
713663155131205
oct2155203640500
9475540064670
10152103240000
115956334a528
122558b098400
1311460232c7a
14750cc41cac
153e53586a00
hex236a0f4140

152103240000 has 420 divisors, whose sum is σ = 546589800900. Its totient is φ = 40427520000.

The previous prime is 152103239963. The next prime is 152103240001. The reversal of 152103240000 is 42301251.

It can be written as a sum of positive squares in 10 ways, for example, as 101001924864 + 51101315136 = 317808^2 + 226056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152103240001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 161639530 + ... + 161640470.

Almost surely, 2152103240000 is an apocalyptic number.

152103240000 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 152103240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273294900450).

152103240000 is an abundant number, since it is smaller than the sum of its proper divisors (394486560900).

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

152103240000 is an equidigital number, since it uses as much as digits as its factorization.

152103240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 152103240000 its reverse (42301251), we get a palindrome (152145541251).

The spelling of 152103240000 in words is "one hundred fifty-two billion, one hundred three million, two hundred forty thousand".