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103416135156 = 22331783678637
BaseRepresentation
bin110000001010000010…
…1001111110111110100
3100212221020200222201000
41200110011033313310
53143244012311111
6115301514403300
710320514434135
oct1402405176764
9325836628630
10103416135156
113a949791aa4
1218061a30530
1399a14947a9
145010a2bc8c
152a540ccc56
hex181414fdf4

103416135156 has 96 divisors (see below), whose sum is σ = 287308183680. Its totient is φ = 32053335552.

The previous prime is 103416135113. The next prime is 103416135187. The reversal of 103416135156 is 651531614301.

103416135156 is a `hidden beast` number, since 1 + 0 + 34 + 1 + 613 + 5 + 1 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103416135156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186931 + ... + 491706.

It is an arithmetic number, because the mean of its divisors is an integer number (2992793580).

Almost surely, 2103416135156 is an apocalyptic number.

It is an amenable number.

103416135156 is an abundant number, since it is smaller than the sum of its proper divisors (183892048524).

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

103416135156 is a wasteful number, since it uses less digits than its factorization.

103416135156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678750 (or 678742 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 103416135156 its reverse (651531614301), we get a palindrome (754947749457).

The spelling of 103416135156 in words is "one hundred three billion, four hundred sixteen million, one hundred thirty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 83 102 108 153 166 204 249 306 332 459 498 612 747 918 996 1411 1494 1836 2241 2822 2988 4233 4482 5644 8466 8964 12699 16932 25398 38097 50796 76194 152388 678637 1357274 2035911 2714548 4071822 6107733 8143644 11536829 12215466 18323199 23073658 24430932 34610487 36646398 46147316 56326871 69220974 73292796 103831461 112653742 138441948 168980613 207662922 225307484 311494383 337961226 415325844 506941839 622988766 675922452 957556807 1013883678 1245977532 1520825517 1915113614 2027767356 2872670421 3041651034 3830227228 5745340842 6083302068 8618011263 11490681684 17236022526 25854033789 34472045052 51708067578 103416135156