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101148912 = 2434174591
BaseRepresentation
bin1100000011101…
…10100011110000
321001022220020000
412001312203300
5201343231122
614011550000
72335515534
oct601664360
9231286200
10101148912
1152106747
1229a5b300
1317c56737
14d60dbc4
158d300ac
hex60768f0

101148912 has 100 divisors (see below), whose sum is σ = 310042656. Its totient is φ = 31726080.

The previous prime is 101148911. The next prime is 101148923. The reversal of 101148912 is 219841101.

It is a super-2 number, since 2×1011489122 = 20462204797567488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101148911) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19737 + ... + 24327.

Almost surely, 2101148912 is an apocalyptic number.

101148912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101148912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155021328).

101148912 is an abundant number, since it is smaller than the sum of its proper divisors (208893744).

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

101148912 is a wasteful number, since it uses less digits than its factorization.

101148912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 101148912 is about 10057.2815412516. The cubic root of 101148912 is about 465.9297111961.

The spelling of 101148912 in words is "one hundred one million, one hundred forty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 4591 5508 7344 9182 11016 13773 18364 22032 27546 36728 41319 55092 73456 78047 82638 110184 123957 156094 165276 220368 234141 247914 312188 330552 371871 468282 495828 624376 661104 702423 743742 936564 991656 1248752 1404846 1487484 1873128 1983312 2107269 2809692 2974968 3746256 4214538 5619384 5949936 6321807 8429076 11238768 12643614 16858152 25287228 33716304 50574456 101148912