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102051612 = 22321317101127
BaseRepresentation
bin1100001010100…
…10111100011100
321010000202111100
412011102330130
5202111122422
614043153100
72346265365
oct605227434
9233022440
10102051612
1152672983
122a215790
13181b1590
14d7a6b6c
158e5c7ac
hex6152f1c

102051612 has 144 divisors (see below), whose sum is σ = 299400192. Its totient is φ = 29030400.

The previous prime is 102051569. The next prime is 102051623. The reversal of 102051612 is 216150201.

102051612 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 51 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 803493 + ... + 803619.

It is an arithmetic number, because the mean of its divisors is an integer number (2079168).

Almost surely, 2102051612 is an apocalyptic number.

102051612 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 102051612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096).

102051612 is an abundant number, since it is smaller than the sum of its proper divisors (197348580).

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

102051612 is a wasteful number, since it uses less digits than its factorization.

102051612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 102051612 is about 10102.0597899636. The cubic root of 102051612 is about 467.3116661584.

The spelling of 102051612 in words is "one hundred two million, fifty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 101 102 117 127 153 156 202 204 221 234 254 303 306 381 404 442 468 508 606 612 663 762 884 909 1143 1212 1313 1326 1524 1651 1717 1818 1989 2159 2286 2626 2652 3302 3434 3636 3939 3978 4318 4572 4953 5151 5252 6477 6604 6868 7878 7956 8636 9906 10302 11817 12827 12954 14859 15453 15756 19431 19812 20604 22321 23634 25654 25908 28067 29718 30906 38481 38862 44642 47268 51308 56134 59436 61812 66963 76962 77724 84201 89284 112268 115443 133926 153924 166751 168402 200889 218059 230886 252603 267852 333502 336804 401778 436118 461772 500253 505206 654177 667004 803556 872236 1000506 1010412 1308354 1500759 1962531 2001012 2616708 2834767 3001518 3925062 5669534 6003036 7850124 8504301 11339068 17008602 25512903 34017204 51025806 102051612