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101113144125 = 353744386951
BaseRepresentation
bin101111000101011010…
…0000010001100111101
3100122222202012220220220
41132022310002030331
53124034431103000
6114241205331553
710206451354440
oct1361264021475
9318882186826
10101113144125
1139977808824
121771a706bb9
1396c53130c6
144c72c21657
15296bd1a1a0
hex178ad0233d

101113144125 has 64 divisors (see below), whose sum is σ = 192724586496. Its totient is φ = 46118280000.

The previous prime is 101113144117. The next prime is 101113144159. The reversal of 101113144125 is 521441311101.

It is not a de Polignac number, because 101113144125 - 23 = 101113144117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101113144095 and 101113144104.

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, 1119400 + ... + 1206350.

It is an arithmetic number, because the mean of its divisors is an integer number (3011321664).

Almost surely, 2101113144125 is an apocalyptic number.

101113144125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101113144125 is a deficient number, since it is larger than the sum of its proper divisors (91611442371).

101113144125 is an equidigital number, since it uses as much as digits as its factorization.

101113144125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87419 (or 87409 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 101113144125 its reverse (521441311101), we get a palindrome (622554455226).

The spelling of 101113144125 in words is "one hundred one billion, one hundred thirteen million, one hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 443 525 875 1329 2215 2625 3101 6645 9303 11075 15505 33225 46515 55375 77525 86951 166125 232575 260853 387625 434755 608657 1162875 1304265 1825971 2173775 3043285 6521325 9129855 10868875 15216425 32606625 38519293 45649275 76082125 115557879 192596465 228246375 269635051 577789395 808905153 962982325 1348175255 2888946975 4044525765 4814911625 6740876275 14444734875 20222628825 33704381375 101113144125