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102412230120 = 2334531608713
BaseRepresentation
bin101111101100000111…
…1101001110111101000
3100210100021200022220000
41133120033221313220
53134220012330440
6115014133303000
710253604410244
oct1373017516750
9323307608800
10102412230120
113a484041312
1217a21794a60
1398714bb045
144d57585424
1529e5dc9730
hex17d83e9de8

102412230120 has 80 divisors (see below), whose sum is σ = 344218895460. Its totient is φ = 27309927168.

The previous prime is 102412230083. The next prime is 102412230121. The reversal of 102412230120 is 21032214201.

It is a happy number.

102412230120 is a `hidden beast` number, since 1 + 0 + 2 + 412 + 230 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101930778756 + 481451364 = 319266^2 + 21942^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102412230093 and 102412230102.

It is not an unprimeable number, because it can be changed into a prime (102412230121) 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, 15801117 + ... + 15807596.

Almost surely, 2102412230120 is an apocalyptic number.

102412230120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102412230120 is an abundant number, since it is smaller than the sum of its proper divisors (241806665340).

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

102412230120 is a wasteful number, since it uses less digits than its factorization.

102412230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31608736 (or 31608723 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102412230120 its reverse (21032214201), we get a palindrome (123444444321).

The spelling of 102412230120 in words is "one hundred two billion, four hundred twelve million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 31608713 63217426 94826139 126434852 158043565 189652278 252869704 284478417 316087130 379304556 474130695 568956834 632174260 758609112 853435251 948261390 1137913668 1264348520 1422392085 1706870502 1896522780 2275827336 2560305753 2844784170 3413741004 3793045560 4267176255 5120611506 5689568340 6827482008 8534352510 10241223012 11379136680 12801528765 17068705020 20482446024 25603057530 34137410040 51206115060 102412230120