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100120330102212 = 22347137723320533
BaseRepresentation
bin10110110000111100010100…
…101101011110010111000100
3111010111102001221122001220000
4112300330110231132113010
5101110332414001232322
6552534351130241300
730042312054136620
oct2660742455362704
9433442057561800
10100120330102212
11299a0880235a42
12b28bba7b86230
1343b33ca83a764
141aa1bc7d26180
15b8955d72d3ac
hex5b0f14b5e5c4

100120330102212 has 120 divisors (see below), whose sum is σ = 299128041998016. Its totient is φ = 28605511651392.

The previous prime is 100120330102207. The next prime is 100120330102237. The reversal of 100120330102212 is 212201033021001.

100120330102212 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 20 + 330 + 102 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312195498 + ... + 312516030.

Almost surely, 2100120330102212 is an apocalyptic number.

100120330102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120330102212 is an abundant number, since it is smaller than the sum of its proper divisors (199007711895804).

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

100120330102212 is a wasteful number, since it uses less digits than its factorization.

100120330102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458279 (or 458268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100120330102212 its reverse (212201033021001), we get a palindrome (312321363123213).

The spelling of 100120330102212 in words is "one hundred trillion, one hundred twenty billion, three hundred thirty million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 137723 275446 320533 413169 550892 641066 826338 961599 964061 1239507 1282132 1652676 1923198 1928122 2243731 2479014 2884797 2892183 3718521 3846396 3856244 4487462 4958028 5769594 5784366 6731193 7437042 8654391 8676549 8974924 11155563 11539188 11568732 13462386 14874084 17308782 17353098 20193579 22311126 25963173 26029647 26924772 34617564 34706196 40387158 44622252 51926346 52059294 60580737 78088941 80774316 103852692 104118588 121161474 156177882 181742211 242322948 312355764 363484422 726968844 44144766359 88289532718 132434299077 176579065436 264868598154 309013364513 397302897231 529737196308 618026729026 794605794462 927040093539 1191908691693 1236053458052 1589211588924 1854080187078 2383817383386 2781120280617 3575726075079 3708160374156 4767634766772 5562240561234 7151452150158 8343360841851 11124481122468 14302904300316 16686721683702 25030082525553 33373443367404 50060165051106 100120330102212