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112001210100 = 223252139572753
BaseRepresentation
bin110100001001111001…
…0101101011011110100
3101201002120000222112200
41220103302231123310
53313334302210400
6123241434344500
711043331402143
oct1502362553364
9351076028480
10112001210100
114355484395a
1219858b8b130
13a73bca8cb0
1455c6cb575a
152da7b48b00
hex1a13cad6f4

112001210100 has 108 divisors (see below), whose sum is σ = 378066346476. Its totient is φ = 27569525760.

The previous prime is 112001210081. The next prime is 112001210131. The reversal of 112001210100 is 1012100211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18490016484 + 93511193616 = 135978^2 + 305796^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4774677 + ... + 4798076.

Almost surely, 2112001210100 is an apocalyptic number.

112001210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001210100 is an abundant number, since it is smaller than the sum of its proper divisors (266065136376).

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

112001210100 is a wasteful number, since it uses less digits than its factorization.

112001210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9572786 (or 9572776 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112001210100 its reverse (1012100211), we get a palindrome (113013310311).

The spelling of 112001210100 in words is "one hundred twelve billion, one million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 9572753 19145506 28718259 38291012 47863765 57436518 86154777 95727530 114873036 124445789 143591295 172309554 191455060 239318825 248891578 287182590 344619108 373337367 430773885 478637650 497783156 574365180 622228945 717956475 746674734 861547770 957275300 1120012101 1244457890 1435912950 1493349468 1723095540 1866686835 2153869425 2240024202 2488915780 2871825900 3111144725 3733373670 4307738850 4480048404 5600060505 6222289450 7466747340 8615477700 9333434175 11200121010 12444578900 18666868350 22400242020 28000302525 37333736700 56000605050 112001210100