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112000021101200 = 24527324771548493
BaseRepresentation
bin11001011101110100001001…
…011110001111101010010000
3112200120002122001002200111002
4121131310021132033222100
5104140002020400214300
61034112033245041132
732406506634421301
oct3135641136175220
9480502561080432
10112000021101200
1132760a40093691
121068a4305561a8
134a6573101323b
141d92b895247a8
15ce359e4ac5d5
hex65dd0978fa90

112000021101200 has 120 divisors (see below), whose sum is σ = 272876374539048. Its totient is φ = 44168442531840.

The previous prime is 112000021101197. The next prime is 112000021101203. The reversal of 112000021101200 is 2101120000211.

It is an interprime number because it is at equal distance from previous prime (112000021101197) and next prime (112000021101203).

It can be written as a sum of positive squares in 12 ways, for example, as 3164300207104 + 108835720894096 = 1778848^2 + 10432436^2 .

It is not an unprimeable number, because it can be changed into a prime (112000021101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71554154 + ... + 73102646.

Almost surely, 2112000021101200 is an apocalyptic number.

112000021101200 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 112000021101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136438187269524).

112000021101200 is an abundant number, since it is smaller than the sum of its proper divisors (160876353437848).

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

112000021101200 is a wasteful number, since it uses less digits than its factorization.

112000021101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551061 (or 1551050 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112000021101200 its reverse (2101120000211), we get a palindrome (114101141101411).

The spelling of 112000021101200 in words is "one hundred twelve trillion, twenty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2477 2920 3650 4954 5840 7300 9908 12385 14600 19816 24770 29200 39632 49540 61925 99080 123850 180821 198160 247700 361642 495400 723284 904105 990800 1446568 1548493 1808210 2893136 3096986 3616420 4520525 6193972 7232840 7742465 9041050 12387944 14465680 15484930 18082100 24775888 30969860 36164200 38712325 61939720 72328400 77424650 113039989 123879440 154849300 226079978 309698600 452159956 565199945 619397200 904319912 1130399890 1808639824 2260799780 2825999725 3835617161 4521599560 5651999450 7671234322 9043199120 11303998900 15342468644 19178085805 22607997800 30684937288 38356171610 45215995600 61369874576 76712343220 95890429025 153424686440 191780858050 280000052753 306849372880 383561716100 560000105506 767123432200 1120000211012 1400000263765 1534246864400 2240000422024 2800000527530 4480000844048 5600001055060 7000001318825 11200002110120 14000002637650 22400004220240 28000005275300 56000010550600 112000021101200