Search a number
-
+
100220120120022 = 23721796263304069
BaseRepresentation
bin10110110010011001010000…
…101010001011101011010110
3111010211221122111011012201120
4112302121100222023223112
5101114001301222320042
6553052253152504410
730052444001244300
oct2662312052135326
9433757574135646
10100220120120022
1129a2a129090341
12b2a73b754b106
1343bc9419a9486
141aa6973126970
15b8be4e2dadec
hex5b2650a8bad6

100220120120022 has 96 divisors (see below), whose sum is σ = 234505984377600. Its totient is φ = 28469711696832.

The previous prime is 100220120119969. The next prime is 100220120120063. The reversal of 100220120120022 is 220021021022001.

It is a junction number, because it is equal to n+sod(n) for n = 100220120119983 and 100220120120010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329444604 + ... + 329748672.

It is an arithmetic number, because the mean of its divisors is an integer number (2442770670600).

Almost surely, 2100220120120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220120120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117252992188800).

100220120120022 is an abundant number, since it is smaller than the sum of its proper divisors (134285864257578).

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

100220120120022 is a wasteful number, since it uses less digits than its factorization.

100220120120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310530 (or 310523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100220120120022 its reverse (220021021022001), we get a palindrome (320241141142023).

The spelling of 100220120120022 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 179 294 358 537 1074 1253 2506 3759 6263 7518 8771 12526 17542 18789 26313 37578 43841 52626 87682 131523 263046 304069 306887 608138 613774 912207 920661 1121077 1824414 1841322 2128483 2242154 3363231 4256966 6385449 6726462 7847539 12770898 14899381 15695078 23542617 29798762 44698143 47085234 54428351 54932773 89396286 108856702 109865546 163285053 164798319 326570106 329596638 380998457 761996914 1142995371 1904384147 2285990742 2666989199 3808768294 5333978398 5713152441 8000967597 11426304882 13330689029 16001935194 26661378058 39992067087 79984134174 93314823203 186629646406 279944469609 340884762313 559888939218 681769524626 1022654286939 2045308573878 2386193336191 4772386672382 7158580008573 14317160017146 16703353353337 33406706706674 50110060060011 100220120120022