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102433000120 = 235112101209543
BaseRepresentation
bin101111101100101111…
…0111000101010111000
3100210101201202112222021
41133121132320222320
53134240322000440
6115020154404224
710254246064213
oct1373136705270
9323351675867
10102433000120
113a494838100
1217a28730674
1398758b0a99
144d5a23077a
1529e7b2d84a
hex17d97b8ab8

102433000120 has 96 divisors (see below), whose sum is σ = 255840651360. Its totient is φ = 36879392000.

The previous prime is 102433000079. The next prime is 102433000139. The reversal of 102433000120 is 21000334201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102433000094 and 102433000103.

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, 384069 + ... + 593611.

It is an arithmetic number, because the mean of its divisors is an integer number (2665006785).

Almost surely, 2102433000120 is an apocalyptic number.

102433000120 is a gapful number since it is divisible by the number (10) 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 102433000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127920325680).

102433000120 is an abundant number, since it is smaller than the sum of its proper divisors (153407651240).

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

102433000120 is a wasteful number, since it uses less digits than its factorization.

102433000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209677 (or 209662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102433000120 its reverse (21000334201), we get a palindrome (123433334321).

The spelling of 102433000120 in words is "one hundred two billion, four hundred thirty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 121 202 220 242 404 440 484 505 605 808 968 1010 1111 1210 2020 2222 2420 4040 4444 4840 5555 8888 11110 12221 22220 24442 44440 48884 61105 97768 122210 209543 244420 419086 488840 838172 1047715 1676344 2095430 2304973 4190860 4609946 8381720 9219892 11524865 18439784 21163843 23049730 25354703 42327686 46099460 50709406 84655372 92198920 101418812 105819215 126773515 169310744 202837624 211638430 232802273 253547030 423276860 465604546 507094060 846553720 931209092 1014188120 1164011365 1862418184 2328022730 2560825003 4656045460 5121650006 9312090920 10243300012 12804125015 20486600024 25608250030 51216500060 102433000120