Search a number
-
+
100133200320 = 2635104305417
BaseRepresentation
bin101110101000001100…
…1110110000111000000
3100120110110021121201220
41131100121312013000
53120033044402240
6114000041555040
710143252105426
oct1352031660700
9316413247656
10100133200320
113951464350a
12174a64a5a80
13959a2a8aba
144bbca15116
152910c9b5d0
hex17506761c0

100133200320 has 56 divisors (see below), whose sum is σ = 317922914064. Its totient is φ = 26702186496.

The previous prime is 100133200309. The next prime is 100133200399. The reversal of 100133200320 is 23002331001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100133200320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52151749 + ... + 52153668.

It is an arithmetic number, because the mean of its divisors is an integer number (5677194894).

Almost surely, 2100133200320 is an apocalyptic number.

100133200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133200320 is an abundant number, since it is smaller than the sum of its proper divisors (217789713744).

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

100133200320 is a wasteful number, since it uses less digits than its factorization.

100133200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104305437 (or 104305427 counting only the distinct ones).

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

Adding to 100133200320 its reverse (23002331001), we get a palindrome (123135531321).

The spelling of 100133200320 in words is "one hundred billion, one hundred thirty-three million, two hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 104305417 208610834 312916251 417221668 521527085 625832502 834443336 1043054170 1251665004 1564581255 1668886672 2086108340 2503330008 3129162510 3337773344 4172216680 5006660016 6258325020 6675546688 8344433360 10013320032 12516650040 16688866720 20026640064 25033300080 33377733440 50066600160 100133200320