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100311231220 = 22517535566661
BaseRepresentation
bin101110101101100000…
…0111110101011110100
3100120220212021112012221
41131123000332223310
53120414133344340
6114025441452124
710150543253104
oct1353300765364
9316825245187
10100311231220
11395a6090792
1217536041044
1395c8140625
144bd8519204
15292171644a
hex175b03eaf4

100311231220 has 48 divisors (see below), whose sum is σ = 227253409488. Its totient is φ = 37051688960.

The previous prime is 100311231187. The next prime is 100311231257. The reversal of 100311231220 is 22132113001.

It can be written as a sum of positive squares in 8 ways, for example, as 7946296164 + 92364935056 = 89142^2 + 303916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100311231194 and 100311231203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2765311 + ... + 2801350.

It is an arithmetic number, because the mean of its divisors is an integer number (4734446031).

Almost surely, 2100311231220 is an apocalyptic number.

100311231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311231220 is an abundant number, since it is smaller than the sum of its proper divisors (126942178268).

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

100311231220 is a wasteful number, since it uses less digits than its factorization.

100311231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566740 (or 5566738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100311231220 its reverse (22132113001), we get a palindrome (122443344221).

The spelling of 100311231220 in words is "one hundred billion, three hundred eleven million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 5566661 11133322 22266644 27833305 55666610 94633237 111333220 189266474 295033033 378532948 473166185 590066066 946332370 1180132132 1475165165 1892664740 2950330330 5015561561 5900660660 10031123122 20062246244 25077807805 50155615610 100311231220