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103120410432 = 26313172430251
BaseRepresentation
bin110000000001001110…
…1001001011101000000
3100212011122020121122110
41200002131021131000
53142142311113212
6115212312135320
710310264012004
oct1400235113500
9325148217573
10103120410432
113a8078686a6
1217b9a997540
139955132950
144dc364c704
152a38165a3c
hex1802749740

103120410432 has 112 divisors (see below), whose sum is σ = 311111140032. Its totient is φ = 29862912000.

The previous prime is 103120410431. The next prime is 103120410439. The reversal of 103120410432 is 234014021301.

It is a junction number, because it is equal to n+sod(n) for n = 103120410399 and 103120410408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103120410431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172694 + ... + 1257557.

It is an arithmetic number, because the mean of its divisors is an integer number (2777778036).

Almost surely, 2103120410432 is an apocalyptic number.

103120410432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103120410432 is an abundant number, since it is smaller than the sum of its proper divisors (207990729600).

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

103120410432 is a wasteful number, since it uses less digits than its factorization.

103120410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430296 (or 2430286 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103120410432 its reverse (234014021301), we get a palindrome (337134431733).

The spelling of 103120410432 in words is "one hundred three billion, one hundred twenty million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 14144 21216 42432 2430251 4860502 7290753 9721004 14581506 19442008 29163012 31593263 38884016 41314267 58326024 63186526 77768032 82628534 94779789 116652048 123942801 126373052 155536064 165257068 189559578 233304096 247885602 252746104 330514136 379119156 466608192 495771204 505492208 537085471 661028272 758238312 991542408 1010984416 1074170942 1322056544 1516476624 1611256413 1983084816 2021968832 2148341884 2644113088 3032953248 3222512826 3966169632 4296683768 6065906496 6445025652 7932339264 8593367536 12890051304 17186735072 25780102608 34373470144 51560205216 103120410432