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111005027980 = 225711211341617
BaseRepresentation
bin110011101100001101…
…0100100111010001100
3101121112010112200120121
41213120122210322030
53304314241343410
6122554530554324
711006544112120
oct1473032447214
9347463480517
10111005027980
1143093498550
121961b4389a4
13a6107a7812
14553087d580
152d4a46d9da
hex19d86a4e8c

111005027980 has 96 divisors (see below), whose sum is σ = 292009600512. Its totient is φ = 34434892800.

The previous prime is 111005027953. The next prime is 111005027981. The reversal of 111005027980 is 89720500111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (111005027981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154132 + ... + 495748.

It is an arithmetic number, because the mean of its divisors is an integer number (3041766672).

Almost surely, 2111005027980 is an apocalyptic number.

111005027980 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 111005027980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146004800256).

111005027980 is an abundant number, since it is smaller than the sum of its proper divisors (181004572532).

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

111005027980 is a wasteful number, since it uses less digits than its factorization.

111005027980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341855 (or 341853 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 34.

The spelling of 111005027980 in words is "one hundred eleven billion, five million, twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 211 220 308 385 422 770 844 1055 1477 1540 2110 2321 2954 4220 4642 5908 7385 9284 11605 14770 16247 23210 29540 32494 46420 64988 81235 162470 324940 341617 683234 1366468 1708085 2391319 3416170 3757787 4782638 6832340 7515574 9565276 11956595 15031148 18788935 23913190 26304509 37577870 47826380 52609018 72081187 75155740 105218036 131522545 144162374 263045090 288324748 360405935 504568309 526090180 720811870 792893057 1009136618 1441623740 1585786114 2018273236 2522841545 3171572228 3964465285 5045683090 5550251399 7928930570 10091366180 11100502798 15857861140 22201005596 27751256995 55502513990 111005027980