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100331132220 = 223351123734381
BaseRepresentation
bin101110101110000110…
…0111001010100111100
3100120222020201121021000
41131130030321110330
53120434232212340
6114031432210300
710151204360364
oct1353414712474
9316866647230
10100331132220
11396063436a0
1217540839990
1395cc2ba977
144bdb0199a4
152923347d30
hex175c33953c

100331132220 has 192 divisors, whose sum is σ = 355323386880. Its totient is φ = 23265158400.

The previous prime is 100331132207. The next prime is 100331132261. The reversal of 100331132220 is 22231133001.

100331132220 is a `hidden beast` number, since 10 + 0 + 3 + 311 + 322 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100331132193 and 100331132202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230571 + ... + 503810.

It is an arithmetic number, because the mean of its divisors is an integer number (1850642640).

Almost surely, 2100331132220 is an apocalyptic number.

100331132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100331132220 is an abundant number, since it is smaller than the sum of its proper divisors (254992254660).

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

100331132220 is a wasteful number, since it uses less digits than its factorization.

100331132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734433 (or 734425 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100331132220 its reverse (22231133001), we get a palindrome (122562265221).

The spelling of 100331132220 in words is "one hundred billion, three hundred thirty-one million, one hundred thirty-two thousand, two hundred twenty".