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10200023232 = 263719221023
BaseRepresentation
bin10010111111111100…
…00000000011000000
3222022212010212102020
421133332000003000
5131342201220412
64404045521440
7510523524030
oct113776000300
928285125366
1010200023232
114364713473
121b87b73280
13c67282209
146ca94d8c0
153ea71e18c
hex25ff800c0

10200023232 has 168 divisors, whose sum is σ = 32553225216. Its totient is φ = 2760777216.

The previous prime is 10200023227. The next prime is 10200023243. The reversal of 10200023232 is 23232000201.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474673 + ... + 495695.

Almost surely, 210200023232 is an apocalyptic number.

10200023232 is a gapful number since it is divisible by the number (12) 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 10200023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16276612608).

10200023232 is an abundant number, since it is smaller than the sum of its proper divisors (22353201984).

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

10200023232 is a wasteful number, since it uses less digits than its factorization.

10200023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21083 (or 21054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10200023232 its reverse (23232000201), we get a palindrome (33432023433).

The spelling of 10200023232 in words is "ten billion, two hundred million, twenty-three thousand, two hundred thirty-two".