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103120310112 = 25323107436477
BaseRepresentation
bin110000000001001110…
…0110000111101100000
3100212011122001112000220
41200002130300331200
53142142244410422
6115212310043040
710310263113351
oct1400234607540
9325148045026
10103120310112
113a8077aa296
1217b9a949480
1399550c90a1
144dc3623d28
152a38145e5c
hex1802730f60

103120310112 has 96 divisors (see below), whose sum is σ = 285100445952. Its totient is φ = 32571585024.

The previous prime is 103120310101. The next prime is 103120310123. The reversal of 103120310112 is 211013021301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103120310101) and next prime (103120310123).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1031203101123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103120310091 and 103120310100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18018 + ... + 454494.

It is an arithmetic number, because the mean of its divisors is an integer number (2969796312).

Almost surely, 2103120310112 is an apocalyptic number.

103120310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103120310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550222976).

103120310112 is an abundant number, since it is smaller than the sum of its proper divisors (181980135840).

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

103120310112 is a wasteful number, since it uses less digits than its factorization.

103120310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436620 (or 436612 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103120310112 its reverse (211013021301), we get a palindrome (314133331413).

The spelling of 103120310112 in words is "one hundred three billion, one hundred twenty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 107 138 184 214 276 321 368 428 552 642 736 856 1104 1284 1712 2208 2461 2568 3424 4922 5136 7383 9844 10272 14766 19688 29532 39376 59064 78752 118128 236256 436477 872954 1309431 1745908 2618862 3491816 5237724 6983632 10038971 10475448 13967264 20077942 20950896 30116913 40155884 41901792 46703039 60233826 80311768 93406078 120467652 140109117 160623536 186812156 240935304 280218234 321247072 373624312 481870608 560436468 747248624 963741216 1074169897 1120872936 1494497248 2148339794 2241745872 3222509691 4296679588 4483491744 6445019382 8593359176 12890038764 17186718352 25780077528 34373436704 51560155056 103120310112