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10104122120 = 2357919716231
BaseRepresentation
bin10010110100100000…
…01010101100001000
3222002011200120211012
421122100022230020
5131143123401440
64350342223052
7505250422661
oct113220125410
928064616735
1010104122120
114315571554
121b5ba24a88
13c504452b1
146bbd08368
153e20c8e65
hex25a40ab08

10104122120 has 64 divisors (see below), whose sum is σ = 23140339200. Its totient is φ = 3969987840.

The previous prime is 10104122071. The next prime is 10104122173. The reversal of 10104122120 is 2122140101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10104122095 and 10104122104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614405 + ... + 630635.

It is an arithmetic number, because the mean of its divisors is an integer number (361567800).

Almost surely, 210104122120 is an apocalyptic number.

10104122120 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 10104122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570169600).

10104122120 is an abundant number, since it is smaller than the sum of its proper divisors (13036217080).

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

10104122120 is a wasteful number, since it uses less digits than its factorization.

10104122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16518 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10104122120 its reverse (2122140101), we get a palindrome (12226262221).

The spelling of 10104122120 in words is "ten billion, one hundred four million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 197 316 394 395 632 788 790 985 1576 1580 1970 3160 3940 7880 15563 16231 31126 32462 62252 64924 77815 81155 124504 129848 155630 162310 311260 324620 622520 649240 1282249 2564498 3197507 5128996 6395014 6411245 10257992 12790028 12822490 15987535 25580056 25644980 31975070 51289960 63950140 127900280 252603053 505206106 1010412212 1263015265 2020824424 2526030530 5052061060 10104122120