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10132030100 = 2252211631761
BaseRepresentation
bin10010110111110101…
…01000001010010100
3222011010012110101002
421123322220022110
5131222244430400
64353220322432
7506036556233
oct113372501224
928133173332
1010132030100
11432a2a31a5
121b69243418
13c56166caa
146c18d0b1a
153e478ced5
hex25bea8294

10132030100 has 72 divisors (see below), whose sum is σ = 22154790336. Its totient is φ = 4021920000.

The previous prime is 10132030093. The next prime is 10132030133. The reversal of 10132030100 is 103023101.

It is a congruent number.

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, 13313720 + ... + 13314480.

Almost surely, 210132030100 is an apocalyptic number.

10132030100 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 10132030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077395168).

10132030100 is an abundant number, since it is smaller than the sum of its proper divisors (12022760236).

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

10132030100 is a wasteful number, since it uses less digits than its factorization.

10132030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10132030100 its reverse (103023101), we get a palindrome (10235053201).

The spelling of 10132030100 in words is "ten billion, one hundred thirty-two million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 631 761 844 1055 1262 1522 2110 2524 3044 3155 3805 4220 5275 6310 7610 10550 12620 15220 15775 19025 21100 31550 38050 63100 76100 133141 160571 266282 321142 480191 532564 642284 665705 802855 960382 1331410 1605710 1920764 2400955 2662820 3211420 3328525 4014275 4801910 6657050 8028550 9603820 12004775 13314100 16057100 24009550 48019100 101320301 202640602 405281204 506601505 1013203010 2026406020 2533007525 5066015050 10132030100