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103124313432 = 2334729783953
BaseRepresentation
bin110000000001010110…
…0000010010101011000
3100212011220120220120000
41200002230002111120
53142144311012212
6115212531533000
710310342126010
oct1400254022530
9325156526500
10103124313432
113a809a94018
1217ba015a160
139955b9b30a
144dc3d86c40
152a386871dc
hex1802b02558

103124313432 has 160 divisors (see below), whose sum is σ = 341490362400. Its totient is φ = 28448050176.

The previous prime is 103124313431. The next prime is 103124313433. The reversal of 103124313432 is 234313421301.

It is a happy number.

103124313432 is a `hidden beast` number, since 1 + 0 + 312 + 4 + 3 + 1 + 343 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (103124313431) and next prime (103124313433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103124313396 and 103124313405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103124313431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 260433 + ... + 523520.

It is an arithmetic number, because the mean of its divisors is an integer number (2134314765).

Almost surely, 2103124313432 is an apocalyptic number.

103124313432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103124313432 is an abundant number, since it is smaller than the sum of its proper divisors (238366048968).

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

103124313432 is a wasteful number, since it uses less digits than its factorization.

103124313432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784007 (or 783994 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 103124313432 its reverse (234313421301), we get a palindrome (337437734733).

The spelling of 103124313432 in words is "one hundred three billion, one hundred twenty-four million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 696 756 783 812 1044 1134 1218 1512 1566 1624 1827 2088 2268 2349 2436 3132 3654 4536 4698 4872 5481 6264 7308 9396 10962 14616 16443 18792 21924 32886 43848 65772 131544 783953 1567906 2351859 3135812 4703718 5487671 6271624 7055577 9407436 10975342 14111154 16463013 18814872 21166731 21950684 22734637 28222308 32926026 42333462 43901368 45469274 49389039 56444616 63500193 65852052 68203911 84666924 90938548 98778078 127000386 131704104 136407822 148167117 159142459 169333848 181877096 197556156 204611733 254000772 272815644 296334234 318284918 395112312 409223466 444501351 477427377 508001544 545631288 592668468 613835199 636569836 818446932 889002702 954854754 1185336936 1227670398 1273139672 1432282131 1636893864 1778005404 1841505597 1909709508 2455340796 2864564262 3556010808 3683011194 3819419016 4296846393 4910681592 5729128524 7366022388 8593692786 11458257048 12890539179 14732044776 17187385572 25781078358 34374771144 51562156716 103124313432