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100141032 = 2337952817
BaseRepresentation
bin1011111100000…
…00011111101000
320222102200200010
411332000133220
5201114003112
613534211520
72324120235
oct576003750
9228380603
10100141032
1151588492
1229653ba0
1317992a64
14d42a78c
158bd163c
hex5f807e8

100141032 has 32 divisors (see below), whose sum is σ = 253526400. Its totient is φ = 32957184.

The previous prime is 100141007. The next prime is 100141079. The reversal of 100141032 is 230141001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100140999 and 100141017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24513 + ... + 28304.

It is an arithmetic number, because the mean of its divisors is an integer number (7922700).

Almost surely, 2100141032 is an apocalyptic number.

100141032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100141032 is an abundant number, since it is smaller than the sum of its proper divisors (153385368).

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

100141032 is a wasteful number, since it uses less digits than its factorization.

100141032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52905 (or 52901 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100141032 is about 10007.0491154985. The cubic root of 100141032 is about 464.3769850478.

Adding to 100141032 its reverse (230141001), we get a palindrome (330282033).

The spelling of 100141032 in words is "one hundred million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 52817 105634 158451 211268 316902 422536 633804 1267608 4172543 8345086 12517629 16690172 25035258 33380344 50070516 100141032