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100330012132 = 2273261727943
BaseRepresentation
bin101110101110000100…
…0100111110111100100
3100120222011121200210021
41131130020213313210
53120433440342012
6114031352204524
710151162014000
oct1353410476744
9316864550707
10100330012132
11396057490a9
1217540399744
1395cbcb7bac
144bdac07700
1529231c6007
hex175c227de4

100330012132 has 48 divisors (see below), whose sum is σ = 204840697600. Its totient is φ = 42980607936.

The previous prime is 100330012121. The next prime is 100330012193. The reversal of 100330012132 is 231210033001.

100330012132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1003300121322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3576553 + ... + 3604495.

Almost surely, 2100330012132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100330012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102420348800).

100330012132 is an abundant number, since it is smaller than the sum of its proper divisors (104510685468).

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

100330012132 is a wasteful number, since it uses less digits than its factorization.

100330012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30585 (or 30569 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100330012132 its reverse (231210033001), we get a palindrome (331540045133).

The spelling of 100330012132 in words is "one hundred billion, three hundred thirty million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2617 5234 10468 18319 27943 36638 55886 73276 111772 128233 195601 256466 391202 512932 782404 897631 1369207 1795262 2738414 3590524 5476828 9584449 19168898 38337796 73126831 146253662 292507324 511887817 1023775634 2047551268 3583214719 7166429438 14332858876 25082503033 50165006066 100330012132