Search a number
-
+
100120010122200 = 233521083591539943
BaseRepresentation
bin10110110000111100000001…
…101000110110001111011000
3111010111101020122112101211110
4112300330001220312033120
5101110331240042402300
6552534255300100320
730042301120303365
oct2660740150661730
9433441218471743
10100120010122200
11299a0726655252
12b28bb189946a0
1343b3379465683
141aa1b9763146c
15b895405c4550
hex5b0f01a363d8

100120010122200 has 96 divisors (see below), whose sum is σ = 310375097222400. Its totient is φ = 26698405637760.

The previous prime is 100120010122141. The next prime is 100120010122217. The reversal of 100120010122200 is 2221010021001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64245429 + ... + 65785371.

It is an arithmetic number, because the mean of its divisors is an integer number (3233073929400).

Almost surely, 2100120010122200 is an apocalyptic number.

100120010122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120010122200 is an abundant number, since it is smaller than the sum of its proper divisors (210255087100200).

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

100120010122200 is a wasteful number, since it uses less digits than its factorization.

100120010122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648321 (or 1648312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120010122200 its reverse (2221010021001), we get a palindrome (102341020143201).

The spelling of 100120010122200 in words is "one hundred trillion, one hundred twenty billion, ten million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 108359 216718 325077 433436 541795 650154 866872 1083590 1300308 1539943 1625385 2167180 2600616 2708975 3079886 3250770 4334360 4619829 5417950 6159772 6501540 7699715 8126925 9239658 10835900 12319544 13003080 15399430 16253850 18479316 21671800 23099145 30798860 32507700 36958632 38498575 46198290 61597720 65015400 76997150 92396580 115495725 153994300 184793160 230991450 307988600 461982900 923965800 166866683537 333733367074 500600050611 667466734148 834333417685 1001200101222 1334933468296 1668666835370 2002400202444 2503000253055 3337333670740 4004800404888 4171667088425 5006000506110 6674667341480 8343334176850 10012001012220 12515001265275 16686668353700 20024002024440 25030002530550 33373336707400 50060005061100 100120010122200