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111220010100 = 223252229539641
BaseRepresentation
bin110011110010100111…
…0101010110001110100
3101122002010001220121100
41213211032222301310
53310234310310400
6123032130450100
711015064326133
oct1474516526164
9348063056540
10111220010100
1143193883821
121967b433930
13a6461a9284
14555124191a
152d5e287100
hex19e53aac74

111220010100 has 108 divisors (see below), whose sum is σ = 350135918860. Its totient is φ = 29529100800.

The previous prime is 111220010017. The next prime is 111220010113. The reversal of 111220010100 is 1010022111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3776348304 + 107443661796 = 61452^2 + 327786^2 .

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, 63721 + ... + 475920.

Almost surely, 2111220010100 is an apocalyptic number.

111220010100 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 111220010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175067959430).

111220010100 is an abundant number, since it is smaller than the sum of its proper divisors (238915908760).

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

111220010100 is a wasteful number, since it uses less digits than its factorization.

111220010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539890 (or 539880 counting only the distinct ones).

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

Adding to 111220010100 its reverse (1010022111), we get a palindrome (112230032211).

The spelling of 111220010100 in words is "one hundred eleven billion, two hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 229 300 450 458 687 900 916 1145 1374 2061 2290 2748 3435 4122 4580 5725 6870 8244 10305 11450 13740 17175 20610 22900 34350 41220 51525 68700 103050 206100 539641 1079282 1618923 2158564 2698205 3237846 4856769 5396410 6475692 8094615 9713538 10792820 13491025 16189230 19427076 24283845 26982050 32378460 40473075 48567690 53964100 80946150 97135380 121419225 123577789 161892300 242838450 247155578 370733367 485676900 494311156 617888945 741466734 1112200101 1235777890 1482933468 1853666835 2224400202 2471555780 3089444725 3707333670 4448800404 5561000505 6178889450 7414667340 9268334175 11122001010 12357778900 18536668350 22244002020 27805002525 37073336700 55610005050 111220010100