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112166450214 = 23713243367501
BaseRepresentation
bin110100001110110100…
…1000011010000100110
3101201112001222001100220
41220131221003100212
53314204102401324
6123310100145210
711050406044560
oct1503551032046
9351461861326
10112166450214
114362a045235
12198a4398206
13a7672b2900
145600c0a330
152db73d8b79
hex1a1da43426

112166450214 has 96 divisors (see below), whose sum is σ = 284076105984. Its totient is φ = 28894320000.

The previous prime is 112166450191. The next prime is 112166450219. The reversal of 112166450214 is 412054661211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112166450219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121464 + ... + 488964.

It is an arithmetic number, because the mean of its divisors is an integer number (2959126104).

Almost surely, 2112166450214 is an apocalyptic number.

112166450214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112166450214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142038052992).

112166450214 is an abundant number, since it is smaller than the sum of its proper divisors (171909655770).

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

112166450214 is a wasteful number, since it uses less digits than its factorization.

112166450214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367582 (or 367569 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 112166450214 in words is "one hundred twelve billion, one hundred sixty-six million, four hundred fifty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 78 86 91 129 169 182 258 273 301 338 507 546 559 602 903 1014 1118 1183 1677 1806 2366 3354 3549 3913 7098 7267 7826 11739 14534 21801 23478 43602 50869 101738 152607 305214 367501 735002 1102503 2205006 2572507 4777513 5145014 7717521 9555026 14332539 15435042 15802543 28665078 31605086 33442591 47407629 62107669 66885182 94815258 100327773 110617801 124215338 186323007 200655546 205433059 221235602 331853403 372646014 410866118 434753683 616299177 663706806 869507366 1232598354 1304261049 1438031413 2608522098 2670629767 2876062826 4314094239 5341259534 8011889301 8628188478 16023778602 18694408369 37388816738 56083225107 112166450214