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103401111125 = 5313373894421
BaseRepresentation
bin110000001001100101…
…1111011111001010101
3100212220012102200121102
41200103023323321111
53143231141024000
6115300220355445
710320242641244
oct1402313737125
9325805380542
10103401111125
113a941260244
12180589a5b85
13999b334230
14500ca3a95b
152a52b113d5
hex18132fbe55

103401111125 has 64 divisors (see below), whose sum is σ = 143126343360. Its totient is φ = 74086272000.

The previous prime is 103401111119. The next prime is 103401111139. The reversal of 103401111125 is 521111104301.

It can be written as a sum of positive squares in 32 ways, for example, as 96890880529 + 6510230596 = 311273^2 + 80686^2 .

It is not a de Polignac number, because 103401111125 - 210 = 103401110101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103401111097 and 103401111106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23386415 + ... + 23390835.

It is an arithmetic number, because the mean of its divisors is an integer number (2236349115).

Almost surely, 2103401111125 is an apocalyptic number.

It is an amenable number.

103401111125 is a deficient number, since it is larger than the sum of its proper divisors (39725232235).

103401111125 is a wasteful number, since it uses less digits than its factorization.

103401111125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 103401111125 its reverse (521111104301), we get a palindrome (624512215426).

The spelling of 103401111125 in words is "one hundred three billion, four hundred one million, one hundred eleven thousand, one hundred twenty-five".

Divisors: 1 5 13 25 37 65 125 185 325 389 481 925 1625 1945 2405 4421 4625 5057 9725 12025 14393 22105 25285 48625 57473 60125 71965 110525 126425 163577 187109 287365 359825 552625 632125 817885 935545 1436825 1719769 1799125 2126501 4089425 4677725 7184125 8598845 10632505 20447125 22356997 23388625 42994225 53162525 63631453 111784985 214971125 265812625 318157265 558924925 827208889 1590786325 2794624625 4136044445 7953931625 20680222225 103401111125