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112121221932 = 223217340753773
BaseRepresentation
bin110100001101011110…
…0100001001100101100
3101201101220212012211100
41220122330201030230
53314111013100212
6123301402523100
711046316442646
oct1503274411454
9351356765740
10112121221932
1143606563595
1219891206490
13a75ab08405
1455d8bd5896
152db3452bdc
hex1a1af2132c

112121221932 has 72 divisors (see below), whose sum is σ = 300182815296. Its totient is φ = 35164306944.

The previous prime is 112121221931. The next prime is 112121221937. The reversal of 112121221932 is 239122121211.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112121221896 and 112121221905.

It is not an unprimeable number, because it can be changed into a prime (112121221931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2058198 + ... + 2111970.

It is an arithmetic number, because the mean of its divisors is an integer number (4169205768).

Almost surely, 2112121221932 is an apocalyptic number.

112121221932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112121221932 is an abundant number, since it is smaller than the sum of its proper divisors (188061593364).

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

112121221932 is a wasteful number, since it uses less digits than its factorization.

112121221932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57207 (or 57202 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The spelling of 112121221932 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3407 6814 10221 13628 20442 30663 40884 53773 57919 61326 107546 115838 122652 161319 173757 215092 231676 322638 347514 483957 521271 645276 695028 914141 967914 1042542 1828282 1935828 2085084 2742423 3656564 5484846 8227269 10969692 16454538 32909076 183204611 366409222 549613833 732818444 1099227666 1648841499 2198455332 3114478387 3297682998 6228956774 6595365996 9343435161 12457913548 18686870322 28030305483 37373740644 56060610966 112121221932