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112019363920 = 24571103191473
BaseRepresentation
bin110100001010011011…
…1111101100001010000
3101201010211012021220101
41220110313331201100
53313403424121140
6123243323422144
711043641611552
oct1502467754120
9351124167811
10112019363920
1143564013112
1219863084954
13a742993cb9
1455c947d4d2
152da953299a
hex1a14dfd850

112019363920 has 80 divisors (see below), whose sum is σ = 266678860032. Its totient is φ = 43747522560.

The previous prime is 112019363917. The next prime is 112019363959. The reversal of 112019363920 is 29363910211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 112019363920.

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, 489304 + ... + 680776.

Almost surely, 2112019363920 is an apocalyptic number.

112019363920 is a gapful number since it is divisible by the number (10) 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 112019363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133339430016).

112019363920 is an abundant number, since it is smaller than the sum of its proper divisors (154659496112).

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

112019363920 is a wasteful number, since it uses less digits than its factorization.

112019363920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191660 (or 191654 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 112019363920 in words is "one hundred twelve billion, nineteen million, three hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 103 142 206 284 355 412 515 568 710 824 1030 1136 1420 1648 2060 2840 4120 5680 7313 8240 14626 29252 36565 58504 73130 117008 146260 191473 292520 382946 585040 765892 957365 1531784 1914730 3063568 3829460 7658920 13594583 15317840 19721719 27189166 39443438 54378332 67972915 78886876 98608595 108756664 135945830 157773752 197217190 217513328 271891660 315547504 394434380 543783320 788868760 1087566640 1400242049 1577737520 2800484098 5600968196 7001210245 11201936392 14002420490 22403872784 28004840980 56009681960 112019363920