Search a number
-
+
107756603130 = 235111278273109
BaseRepresentation
bin110010001011011001…
…0110100011011111010
3101022010202001121102010
41210112302310123322
53231141142300010
6121300325550350
710533211004541
oct1442662643372
9338122047363
10107756603130
114177687a910
1218a735753b6
13a2137b2837
14530328b158
152c0a1a7620
hex1916cb46fa

107756603130 has 128 divisors (see below), whose sum is σ = 284783247360. Its totient is φ = 25877456640.

The previous prime is 107756603117. The next prime is 107756603131. The reversal of 107756603130 is 31306657701.

It is a super-2 number, since 2×1077566031302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107756603131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34658016 + ... + 34661124.

It is an arithmetic number, because the mean of its divisors is an integer number (2224869120).

Almost surely, 2107756603130 is an apocalyptic number.

107756603130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107756603130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142391623680).

107756603130 is an abundant number, since it is smaller than the sum of its proper divisors (177026644230).

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

107756603130 is a wasteful number, since it uses less digits than its factorization.

107756603130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084.

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 107756603130 in words is "one hundred seven billion, seven hundred fifty-six million, six hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 381 635 762 827 1270 1397 1654 1905 2481 2794 3109 3810 4135 4191 4962 6218 6985 8270 8382 9097 9327 12405 13970 15545 18194 18654 20955 24810 27291 31090 34199 41910 45485 46635 54582 68398 90970 93270 102597 105029 136455 170995 205194 210058 272910 315087 341990 394843 512985 525145 630174 789686 1025970 1050290 1155319 1184529 1575435 1974215 2310638 2369058 2571143 3150870 3465957 3948430 4343273 5142286 5776595 5922645 6931914 7713429 8686546 11553190 11845290 12855715 13029819 15426858 17329785 21716365 25711430 26059638 28282573 34659570 38567145 43432730 56565146 65149095 77134290 84847719 130298190 141412865 169695438 282825730 326535161 424238595 653070322 848477190 979605483 1632675805 1959210966 3265351610 3591886771 4898027415 7183773542 9796054830 10775660313 17959433855 21551320626 35918867710 53878301565 107756603130