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120022013100 = 223521136370307
BaseRepresentation
bin110111111000111011…
…1101001010010101100
3102110210112120222210110
41233301313221102230
53431301113404400
6131045400140020
711446154164353
oct1576167512254
9373715528713
10120022013100
11469a032a970
121b317167610
13b419923b82
145b4823699a
1531c6da2e50
hex1bf1de94ac

120022013100 has 72 divisors (see below), whose sum is σ = 378833128128. Its totient is φ = 29096244800.

The previous prime is 120022013081. The next prime is 120022013107. The reversal of 120022013100 is 1310220021.

It is a super-2 number, since 2×1200220131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120022013107) 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, 18181854 + ... + 18188453.

It is an arithmetic number, because the mean of its divisors is an integer number (5261571224).

Almost surely, 2120022013100 is an apocalyptic number.

120022013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022013100 is an abundant number, since it is smaller than the sum of its proper divisors (258811115028).

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

120022013100 is a wasteful number, since it uses less digits than its factorization.

120022013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36370335 (or 36370328 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120022013100 its reverse (1310220021), we get a palindrome (121332233121).

The spelling of 120022013100 in words is "one hundred twenty billion, twenty-two million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 36370307 72740614 109110921 145481228 181851535 218221842 363703070 400073377 436443684 545554605 727406140 800146754 909257675 1091109210 1200220131 1600293508 1818515350 2000366885 2182218420 2400440262 2727773025 3637030700 4000733770 4800880524 5455546050 6001100655 8001467540 10001834425 10911092100 12002201310 20003668850 24004402620 30005503275 40007337700 60011006550 120022013100