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101147982 = 231319131521
BaseRepresentation
bin1100000011101…
…10010101001110
321001022211221120
412001312111032
5201343213412
614011541410
72335513035
oct601662516
9231284846
10101147982
1152105a81
1229a5a866
1317c561a0
14d60d71c
158d2eb8c
hex607654e

101147982 has 64 divisors (see below), whose sum is σ = 231517440. Its totient is φ = 29203200.

The previous prime is 101147953. The next prime is 101147983. The reversal of 101147982 is 289741101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101147983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193882 + ... + 194402.

It is an arithmetic number, because the mean of its divisors is an integer number (3617460).

Almost surely, 2101147982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101147982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115758720).

101147982 is an abundant number, since it is smaller than the sum of its proper divisors (130369458).

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

101147982 is a wasteful number, since it uses less digits than its factorization.

101147982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689.

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 101147982 is about 10057.2353059874. The cubic root of 101147982 is about 465.9282832158.

The spelling of 101147982 in words is "one hundred one million, one hundred forty-seven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 131 247 262 393 494 521 741 786 1042 1482 1563 1703 2489 3126 3406 4978 5109 6773 7467 9899 10218 13546 14934 19798 20319 29697 32357 40638 59394 64714 68251 97071 128687 136502 194142 204753 257374 386061 409506 772122 887263 1296769 1774526 2593538 2661789 3890307 5323578 7780614 16857997 33715994 50573991 101147982