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101984142 = 23131976637
BaseRepresentation
bin1100001010000…
…10011110001110
321002220022221110
412011002132032
5202101443032
614041512450
72345564601
oct605023616
9232808843
10101984142
1152627217
122a1a2726
1318189960
14d78a338
158e477cc
hex614278e

101984142 has 32 divisors (see below), whose sum is σ = 220806432. Its totient is φ = 31215744.

The previous prime is 101984119. The next prime is 101984143. The reversal of 101984142 is 241489101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101984143) 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, 12048 + ... + 18684.

It is an arithmetic number, because the mean of its divisors is an integer number (6900201).

Almost surely, 2101984142 is an apocalyptic number.

101984142 is an abundant number, since it is smaller than the sum of its proper divisors (118822290).

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

101984142 is a wasteful number, since it uses less digits than its factorization.

101984142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 101984142 is about 10098.7198198584. The cubic root of 101984142 is about 467.2086579241.

The spelling of 101984142 in words is "one hundred one million, nine hundred eighty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 197 394 591 1182 2561 5122 6637 7683 13274 15366 19911 39822 86281 172562 258843 517686 1307489 2614978 3922467 7844934 16997357 33994714 50992071 101984142