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10120401104 = 2411179734871
BaseRepresentation
bin10010110110011100…
…10001000011010000
3222010022022122101112
421123032101003100
5131211310313404
64352123152452
7505535663402
oct113316210320
928108278345
1010120401104
114323780160
121b65375728
13c53924b28
146c0144b72
153e374256e
hex25b3910d0

10120401104 has 80 divisors (see below), whose sum is σ = 22883285376. Its totient is φ = 4284825600.

The previous prime is 10120401059. The next prime is 10120401107. The reversal of 10120401104 is 40110402101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120401107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272789 + ... + 307659.

Almost surely, 210120401104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11441642688).

10120401104 is an abundant number, since it is smaller than the sum of its proper divisors (12762884272).

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

10120401104 is a wasteful number, since it uses less digits than its factorization.

10120401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35004 (or 34998 counting only the distinct ones).

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

Adding to 10120401104 its reverse (40110402101), we get a palindrome (50230803205).

The spelling of 10120401104 in words is "ten billion, one hundred twenty million, four hundred one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 97 136 176 187 194 272 374 388 748 776 1067 1496 1552 1649 2134 2992 3298 4268 6596 8536 13192 17072 18139 26384 34871 36278 69742 72556 139484 145112 278968 290224 383581 557936 592807 767162 1185614 1534324 2371228 3068648 3382487 4742456 6137296 6520877 6764974 9484912 13041754 13529948 26083508 27059896 37207357 52167016 54119792 57502279 74414714 104334032 115004558 148829428 230009116 297658856 460018232 595317712 632525069 920036464 1265050138 2530100276 5060200552 10120401104