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102013003032000 = 2635361128354311
BaseRepresentation
bin10111001100011111000000…
…110011101110010111000000
3111101012100101120122211211120
4113030133000303232113000
5101332340112234011000
61000544043203512240
730326124212453514
oct2714370063562700
9441170346584746
10102013003032000
112a5605208133a5
12b536978388680
1344bca285a1098
141b296545ba144
15bbd8d40ec6a0
hex5cc7c0cee5c0

102013003032000 has 448 divisors, whose sum is σ = 342642176068608. Its totient is φ = 26736161280000.

The previous prime is 102013003031993. The next prime is 102013003032019. The reversal of 102013003032000 is 230300310201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1878284845 + ... + 1878339155.

Almost surely, 2102013003032000 is an apocalyptic number.

102013003032000 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 102013003032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171321088034304).

102013003032000 is an abundant number, since it is smaller than the sum of its proper divisors (240629173036608).

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

102013003032000 is a wasteful number, since it uses less digits than its factorization.

102013003032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55685 (or 55665 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102013003032000 its reverse (230300310201), we get a palindrome (102243303342201).

The spelling of 102013003032000 in words is "one hundred two trillion, thirteen billion, three million, thirty-two thousand".