Search a number
-
+
100221210203114 = 271113192634765503
BaseRepresentation
bin10110110010011010010001…
…101000100001001111101010
3111010212001110110100011121102
4112302122101220201033222
5101114011014302444424
6553052553253041402
730052513005635150
oct2662322150411752
9433761413304542
10100221210203114
1129a2a638441960
12b2a7660626262
1343bca86797360
141aa6a37c033d0
15b8beb4d637ae
hex5b2691a213ea

100221210203114 has 64 divisors (see below), whose sum is σ = 212467490242560. Its totient is φ = 34146560905920.

The previous prime is 100221210203089. The next prime is 100221210203123. The reversal of 100221210203114 is 411302012122001.

It is a Curzon number.

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, 1317344714 + ... + 1317420789.

It is an arithmetic number, because the mean of its divisors is an integer number (3319804535040).

Almost surely, 2100221210203114 is an apocalyptic number.

100221210203114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100221210203114 is an abundant number, since it is smaller than the sum of its proper divisors (112246280039446).

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

100221210203114 is a wasteful number, since it uses less digits than its factorization.

100221210203114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634765555.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100221210203114 its reverse (411302012122001), we get a palindrome (511523222325115).

The spelling of 100221210203114 in words is "one hundred trillion, two hundred twenty-one billion, two hundred ten million, two hundred three thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 133 143 154 182 209 247 266 286 418 494 1001 1463 1729 2002 2717 2926 3458 5434 19019 38038 2634765503 5269531006 18443358521 28982420533 34251951539 36886717042 50060544557 57964841066 68503903078 100121089114 202876943731 239763660773 350423811899 376771466929 405753887462 479527321546 550665990127 650787079241 700847623798 753542933858 1101331980254 1301574158482 2637400268503 3854661930889 4555509554687 5274800537006 7158657871651 7709323861778 9111019109374 14317315743302 50110605101557 100221210203114