Search a number
-
+
100242310552132 = 22759631227342307
BaseRepresentation
bin10110110010101101111011…
…010011111101101001000100
3111010221001220222100221221111
4112302231323103331221010
5101114332223000132012
6553110403130454404
730054160621640530
oct2662557323755104
9433831828327844
10100242310552132
1129a38585aa4431
12b2ab76ab94404
1343c1a6a115788
141aa7a7a2b8bc0
15b8c7ec4d3ba7
hex5b2b7b4fda44

100242310552132 has 96 divisors (see below), whose sum is σ = 204300444579840. Its totient is φ = 42146360847360.

The previous prime is 100242310552103. The next prime is 100242310552183. The reversal of 100242310552132 is 231255013242001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100242310552094 and 100242310552103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2369381323 + ... + 2369423629.

It is an arithmetic number, because the mean of its divisors is an integer number (2128129631040).

Almost surely, 2100242310552132 is an apocalyptic number.

It is an amenable number.

100242310552132 is an abundant number, since it is smaller than the sum of its proper divisors (104058134027708).

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

100242310552132 is a wasteful number, since it uses less digits than its factorization.

100242310552132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45281 (or 45279 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 100242310552132 its reverse (231255013242001), we get a palindrome (331497323794133).

The spelling of 100242310552132 in words is "one hundred trillion, two hundred forty-two billion, three hundred ten million, five hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 59 118 236 413 631 826 1262 1652 2273 2524 4417 4546 8834 9092 15911 17668 31822 37229 42307 63644 74458 84614 134107 148916 169228 260603 268214 296149 521206 536428 592298 938749 1042412 1184596 1434263 1877498 2496113 2868526 3754996 4992226 5737052 9984452 10039841 17472791 20079682 26695717 34945582 40159364 53391434 69891164 84621517 96163811 106782868 169243034 186870019 192327622 338486068 373740038 384655244 592350619 673146677 747480076 1184701238 1346293354 1575047303 2369402476 2692586708 3150094606 5673664849 6300189212 11025331121 11347329698 22050662242 22694659396 39715653943 44101324484 60679364741 79431307886 121358729482 158862615772 242717458964 424755553187 849511106374 1699022212748 3580082519719 7160165039438 14320330078876 25060577638033 50121155276066 100242310552132