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100220120220 = 223511213171257
BaseRepresentation
bin101110101010110010…
…1011010110010011100
3100120200111211121102110
41131111211122302130
53120222322321340
6114012424554020
710145355652263
oct1352545326234
9316614747373
10100220120220
1139559710740
121750b622910
1395b22bcaac
144bca39d5da
15291871a680
hex175595ac9c

100220120220 has 96 divisors (see below), whose sum is σ = 306274864896. Its totient is φ = 24284044800.

The previous prime is 100220120197. The next prime is 100220120227. The reversal of 100220120220 is 22021022001.

It is a super-2 number, since 2×1002201202202 (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 a junction number, because it is equal to n+sod(n) for n = 100220120196 and 100220120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220120227) 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, 1370832 + ... + 1442088.

It is an arithmetic number, because the mean of its divisors is an integer number (3190363176).

Almost surely, 2100220120220 is an apocalyptic number.

100220120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220120220 is an abundant number, since it is smaller than the sum of its proper divisors (206054744676).

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

100220120220 is a wasteful number, since it uses less digits than its factorization.

100220120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73411 (or 73409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100220120220 its reverse (22021022001), we get a palindrome (122241142221).

The spelling of 100220120220 in words is "one hundred billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2131 4262 6393 8524 10655 12786 21310 23441 25572 31965 42620 46882 63930 70323 71257 93764 117205 127860 140646 142514 213771 234410 281292 285028 351615 356285 427542 468820 703230 712570 783827 855084 1068855 1406460 1425140 1567654 2137710 2351481 3135308 3919135 4275420 4702962 7838270 9405924 11757405 15676540 23514810 47029620 151848667 303697334 455546001 607394668 759243335 911092002 1518486670 1670335337 1822184004 2277730005 3036973340 3340670674 4555460010 5011006011 6681341348 8351676685 9110920020 10022012022 16703353370 20044024044 25055030055 33406706740 50110060110 100220120220