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100330332220 = 225431069109133
BaseRepresentation
bin101110101110000100…
…1110110000000111100
3100120222012012221212101
41131130021312000330
53120434031112340
6114031403114444
710151164516126
oct1353411660074
9316865187771
10100330332220
1139605947638
1217540512a24
1395cc09a7b1
144bdac8c216
15292323ac9a
hex175c27603c

100330332220 has 48 divisors (see below), whose sum is σ = 215797206240. Its totient is φ = 39161799936.

The previous prime is 100330332209. The next prime is 100330332227. The reversal of 100330332220 is 22233033001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330332227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864774 + ... + 973906.

It is an arithmetic number, because the mean of its divisors is an integer number (4495775130).

Almost surely, 2100330332220 is an apocalyptic number.

100330332220 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 100330332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107898603120).

100330332220 is an abundant number, since it is smaller than the sum of its proper divisors (115466874020).

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

100330332220 is a wasteful number, since it uses less digits than its factorization.

100330332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110254 (or 110252 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 100330332220 its reverse (22233033001), we get a palindrome (122563365221).

The spelling of 100330332220 in words is "one hundred billion, three hundred thirty million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1069 2138 4276 5345 10690 21380 45967 91934 109133 183868 218266 229835 436532 459670 545665 919340 1091330 2182660 4692719 9385438 18770876 23463595 46927190 93854380 116663177 233326354 466652708 583315885 1166631770 2333263540 5016516611 10033033222 20066066444 25082583055 50165166110 100330332220