Search a number
-
+
100211200332 = 223179261717827
BaseRepresentation
bin101110101010100001…
…1011001000101001100
3100120122220001102122020
41131111003121011030
53120213031402312
6114011505450140
710145220101625
oct1352503310514
9316586042566
10100211200332
1139554679031
1217508640950
1395b04b8a59
144bc911aa4c
152917a5778c
hex17550d914c

100211200332 has 48 divisors (see below), whose sum is σ = 235235468160. Its totient is φ = 33202564992.

The previous prime is 100211200217. The next prime is 100211200351. The reversal of 100211200332 is 233002112001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5612403 + ... + 5630229.

It is an arithmetic number, because the mean of its divisors is an integer number (4900738920).

Almost surely, 2100211200332 is an apocalyptic number.

100211200332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211200332 is an abundant number, since it is smaller than the sum of its proper divisors (135024267828).

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

100211200332 is a wasteful number, since it uses less digits than its factorization.

100211200332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20630 (or 20628 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100211200332 its reverse (233002112001), we get a palindrome (333213312333).

The spelling of 100211200332 in words is "one hundred billion, two hundred eleven million, two hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 179 358 537 716 1074 2148 2617 5234 7851 10468 15702 17827 31404 35654 53481 71308 106962 213924 468443 936886 1405329 1873772 2810658 3191033 5621316 6382066 9573099 12764132 19146198 38292396 46653259 93306518 139959777 186613036 279919554 559839108 8350933361 16701866722 25052800083 33403733444 50105600166 100211200332