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10132320100 = 2252730747149
BaseRepresentation
bin10010110111110111…
…01110111101100100
3222011010202012011211
421123323232331210
5131222333220400
64353230441204
7506042204560
oct113373567544
928133665154
1010132320100
11432a481071
121b69363204
13c56238ca6
146c19686a0
153e47e8dba
hex25beeef64

10132320100 has 72 divisors (see below), whose sum is σ = 25210539200. Its totient is φ = 3462549120.

The previous prime is 10132320097. The next prime is 10132320137. The reversal of 10132320100 is 102323101.

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, 191326 + ... + 238474.

Almost surely, 210132320100 is an apocalyptic number.

10132320100 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 10132320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605269600).

10132320100 is an abundant number, since it is smaller than the sum of its proper divisors (15078219100).

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

10132320100 is a wasteful number, since it uses less digits than its factorization.

10132320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47477 (or 47470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10132320100 its reverse (102323101), we get a palindrome (10234643201).

The spelling of 10132320100 in words is "ten billion, one hundred thirty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 307 350 614 700 1228 1535 2149 3070 4298 6140 7675 8596 10745 15350 21490 30700 42980 47149 53725 94298 107450 188596 214900 235745 330043 471490 660086 942980 1178725 1320172 1650215 2357450 3300430 4714900 6600860 8251075 14474743 16502150 28949486 33004300 57898972 72373715 101323201 144747430 202646402 289494860 361868575 405292804 506616005 723737150 1013232010 1447474300 2026464020 2533080025 5066160050 10132320100