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112444121320 = 23523315776833
BaseRepresentation
bin110100010111000110…
…0010010000011101000
3101202020102110012111221
41220232030102003220
53320241143340240
6123353415431424
711060320155406
oct1505614220350
9352212405457
10112444121320
1143761858693
1219961385574
13a7ac99323b
145629a4a476
152dd1986a4a
hex1a2e3120e8

112444121320 has 128 divisors (see below), whose sum is σ = 273027594240. Its totient is φ = 41556049920.

The previous prime is 112444121281. The next prime is 112444121329. The reversal of 112444121320 is 23121444211.

It is not an unprimeable number, because it can be changed into a prime (112444121329) 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, 16452624 + ... + 16459456.

It is an arithmetic number, because the mean of its divisors is an integer number (2133028080).

Almost surely, 2112444121320 is an apocalyptic number.

112444121320 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 112444121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136513797120).

112444121320 is an abundant number, since it is smaller than the sum of its proper divisors (160583472920).

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

112444121320 is a wasteful number, since it uses less digits than its factorization.

112444121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 112444121320 its reverse (23121444211), we get a palindrome (135565565531).

The spelling of 112444121320 in words is "one hundred twelve billion, four hundred forty-four million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 577 620 713 920 1154 1240 1426 2308 2852 2885 3565 4616 5704 5770 6833 7130 11540 13271 13666 14260 17887 23080 26542 27332 28520 34165 35774 53084 54664 66355 68330 71548 89435 106168 132710 136660 143096 157159 178870 211823 265420 273320 314318 357740 411401 423646 530840 628636 715480 785795 822802 847292 1059115 1257272 1571590 1645604 1694584 2057005 2118230 3143180 3291208 3942641 4114010 4236460 4871929 6286360 7885282 8228020 8472920 9743858 15770564 16456040 19487716 19713205 24359645 31541128 38975432 39426410 48719290 78852820 90680743 97438580 122221871 157705640 181361486 194877160 244443742 362722972 453403715 488887484 611109355 725445944 906807430 977774968 1222218710 1813614860 2444437420 2811103033 3627229720 4888874840 5622206066 11244412132 14055515165 22488824264 28111030330 56222060660 112444121320