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102023130312 = 23334111520227
BaseRepresentation
bin101111100000100001…
…1010110110011001000
3100202100011112000022000
41133001003112303020
53132420410132222
6114511353431000
710241141204415
oct1370103266310
9322304460260
10102023130312
113a2a4440924
121793340b460
13980b9c4c7c
144d1ba1b10c
1529c1b6a9ac
hex17c10d6cc8

102023130312 has 64 divisors (see below), whose sum is σ = 290309745600. Its totient is φ = 33178250880.

The previous prime is 102023130301. The next prime is 102023130317. The reversal of 102023130312 is 213031320201.

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

It is not an unprimeable number, because it can be changed into a prime (102023130317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5751258 + ... + 5768969.

It is an arithmetic number, because the mean of its divisors is an integer number (4536089775).

Almost surely, 2102023130312 is an apocalyptic number.

102023130312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102023130312 is an abundant number, since it is smaller than the sum of its proper divisors (188286615288).

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

102023130312 is a wasteful number, since it uses less digits than its factorization.

102023130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520283 (or 11520273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102023130312 its reverse (213031320201), we get a palindrome (315054450513).

The spelling of 102023130312 in words is "one hundred two billion, twenty-three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 11520227 23040454 34560681 46080908 69121362 92161816 103682043 138242724 207364086 276485448 311046129 414728172 472329307 622092258 829456344 944658614 1244184516 1416987921 1889317228 2488369032 2833975842 3778634456 4250963763 5667951684 8501927526 11335903368 12752891289 17003855052 25505782578 34007710104 51011565156 102023130312