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100332313020 = 22325557401739
BaseRepresentation
bin101110101110001000…
…1011001100110111100
3100120222022221121000100
41131130101121212330
53120440033004040
6114031513401100
710151220406062
oct1353421314674
9316868847010
10100332313020
1139606a7a865
1217541109190
1395cc612274
144bdb246032
1529234ccb30
hex175c4599bc

100332313020 has 36 divisors (see below), whose sum is σ = 304341350040. Its totient is φ = 26755283424.

The previous prime is 100332313009. The next prime is 100332313021. The reversal of 100332313020 is 20313233001.

100332313020 is a `hidden beast` number, since 1 + 0 + 0 + 332 + 31 + 302 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100332312984 and 100332313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332313021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278700690 + ... + 278701049.

It is an arithmetic number, because the mean of its divisors is an integer number (8453926390).

Almost surely, 2100332313020 is an apocalyptic number.

100332313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332313020 is an abundant number, since it is smaller than the sum of its proper divisors (204009037020).

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

100332313020 is a wasteful number, since it uses less digits than its factorization.

100332313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557401754 (or 557401749 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100332313020 its reverse (20313233001), we get a palindrome (120645546021).

The spelling of 100332313020 in words is "one hundred billion, three hundred thirty-two million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 557401739 1114803478 1672205217 2229606956 2787008695 3344410434 5016615651 5574017390 6688820868 8361026085 10033231302 11148034780 16722052170 20066462604 25083078255 33444104340 50166156510 100332313020