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102023312112 = 24323735413511
BaseRepresentation
bin101111100000100010…
…0000011001011110000
3100202100011212020200100
41133001010003023300
53132420431441422
6114511401352400
710241142562431
oct1370104031360
9322304766610
10102023312112
113a2a4555477
1217933498700
13980ba59947
144d1ba67488
1529c1ba47ac
hex17c11032f0

102023312112 has 120 divisors (see below), whose sum is σ = 286899929888. Its totient is φ = 33844262400.

The previous prime is 102023312087. The next prime is 102023312123. The reversal of 102023312112 is 211213320201.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29056437 + ... + 29059947.

Almost surely, 2102023312112 is an apocalyptic number.

102023312112 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 102023312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143449964944).

102023312112 is an abundant number, since it is smaller than the sum of its proper divisors (184876617776).

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

102023312112 is a wasteful number, since it uses less digits than its factorization.

102023312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102023312112 its reverse (211213320201), we get a palindrome (313236632313).

The spelling of 102023312112 in words is "one hundred two billion, twenty-three million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 541 746 1082 1119 1492 1623 2164 2238 2984 3246 3357 3511 4328 4476 4869 5968 6492 6714 7022 8656 8952 9738 10533 12984 13428 14044 17904 19476 21066 25968 26856 28088 31599 38952 42132 53712 56176 63198 77904 84264 126396 168528 201793 252792 403586 505584 605379 807172 1210758 1309603 1614344 1816137 1899451 2421516 2619206 3228688 3632274 3798902 3928809 4843032 5238412 5698353 7264548 7597804 7857618 9686064 10476824 11396706 11786427 14529096 15195608 15715236 17095059 20953648 22793412 23572854 29058192 30391216 31430472 34190118 45586824 47145708 62860944 68380236 91173648 94291416 136760472 188582832 273520944 708495223 1416990446 2125485669 2833980892 4250971338 5667961784 6376457007 8501942676 11335923568 12752914014 17003885352 25505828028 34007770704 51011656056 102023312112