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210130012310112 = 25322331722526013
BaseRepresentation
bin101111110001110010110100…
…101111011000101001100000
31000120000020021211221222022200
4233301302310233120221200
5210020232231122410422
62022524221153333200
762155251410250036
oct5761626457305140
91016006254858280
10210130012310112
1160a54701964244
121b69872bb67200
139033237a0c0cb
1439c64bdb04556
151945e6ce782ac
hexbf1cb4bd8a60

210130012310112 has 72 divisors (see below), whose sum is σ = 623537971331184. Its totient is φ = 66997974937344.

The previous prime is 210130012310093. The next prime is 210130012310117. The reversal of 210130012310112 is 211013210031012.

210130012310112 is a `hidden beast` number, since 21 + 0 + 1 + 300 + 1 + 231 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210130012310117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15861256383 + ... + 15861269630.

It is an arithmetic number, because the mean of its divisors is an integer number (8660249601822).

Almost surely, 2210130012310112 is an apocalyptic number.

It is an amenable number.

210130012310112 is an abundant number, since it is smaller than the sum of its proper divisors (413407959021072).

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

210130012310112 is a wasteful number, since it uses less digits than its factorization.

210130012310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31722526052 (or 31722526041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 210130012310112 its reverse (211013210031012), we get a palindrome (421143222341124).

The spelling of 210130012310112 in words is "two hundred ten trillion, one hundred thirty billion, twelve million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 31722526013 63445052026 95167578039 126890104052 190335156078 253780208104 285502734117 380670312156 507560416208 571005468234 729618098299 761340624312 1015120832416 1142010936468 1459236196598 1522681248624 2188854294897 2284021872936 2918472393196 3045362497248 4377708589794 4568043745872 5836944786392 6566562884691 8755417179588 9136087491744 11673889572784 13133125769382 17510834359176 23347779145568 26266251538764 35021668718352 52532503077528 70043337436704 105065006155056 210130012310112