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101625342 = 23713373499
BaseRepresentation
bin1100000111010…
…10110111111110
321002020002202120
412003222313332
5202004002332
614030103410
72342541540
oct603526776
9232202676
10101625342
1152401695
122a04ab66
1318092550
14d6d5690
158dc632c
hex60eadfe

101625342 has 64 divisors (see below), whose sum is σ = 251328000. Its totient is φ = 26676864.

The previous prime is 101625331. The next prime is 101625373. The reversal of 101625342 is 243526101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203409 + ... + 203907.

It is an arithmetic number, because the mean of its divisors is an integer number (3927000).

Almost surely, 2101625342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101625342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125664000).

101625342 is an abundant number, since it is smaller than the sum of its proper divisors (149702658).

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

101625342 is a wasteful number, since it uses less digits than its factorization.

101625342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 101625342 is about 10080.9395395469. The cubic root of 101625342 is about 466.6601038760.

The spelling of 101625342 in words is "one hundred one million, six hundred twenty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 373 499 546 746 998 1119 1497 2238 2611 2994 3493 4849 5222 6487 6986 7833 9698 10479 12974 14547 15666 19461 20958 29094 33943 38922 45409 67886 90818 101829 136227 186127 203658 272454 372254 558381 1116762 1302889 2419651 2605778 3908667 4839302 7258953 7817334 14517906 16937557 33875114 50812671 101625342