Search a number
-
+
112421073312 = 2533137949759
BaseRepresentation
bin110100010110011010…
…0010111000110100000
3101202011211002020121000
41220230310113012200
53320214243321222
6123351233432000
711056620233142
oct1505464270640
9352154066530
10112421073312
114374a846349
121995570b600
13a7a7c83672
14562696ac92
152dce9329ac
hex1a2cd171a0

112421073312 has 96 divisors (see below), whose sum is σ = 330288537600. Its totient is φ = 37200121344.

The previous prime is 112421073283. The next prime is 112421073367. The reversal of 112421073312 is 213370124211.

112421073312 is a `hidden beast` number, since 1 + 1 + 242 + 107 + 3 + 312 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 356512 + ... + 593247.

It is an arithmetic number, because the mean of its divisors is an integer number (3440505600).

Almost surely, 2112421073312 is an apocalyptic number.

112421073312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112421073312 is an abundant number, since it is smaller than the sum of its proper divisors (217867464288).

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

112421073312 is a wasteful number, since it uses less digits than its factorization.

112421073312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949915 (or 949901 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 112421073312 its reverse (213370124211), we get a palindrome (325791197523).

The spelling of 112421073312 in words is "one hundred twelve billion, four hundred twenty-one million, seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 411 432 548 822 864 1096 1233 1644 2192 2466 3288 3699 4384 4932 6576 7398 9864 13152 14796 19728 29592 39456 59184 118368 949759 1899518 2849277 3799036 5698554 7598072 8547831 11397108 15196144 17095662 22794216 25643493 30392288 34191324 45588432 51286986 68382648 91176864 102573972 130116983 136765296 205147944 260233966 273530592 390350949 410295888 520467932 780701898 820591776 1040935864 1171052847 1561403796 2081871728 2342105694 3122807592 3513158541 4163743456 4684211388 6245615184 7026317082 9368422776 12491230368 14052634164 18736845552 28105268328 37473691104 56210536656 112421073312