Search a number
-
+
202110102100221 = 3726783689935837
BaseRepresentation
bin101101111101000101101100…
…110101110101100011111101
3222111121112111112000010002020
4231331011230311311203331
5202442332442114201341
61553504033224350353
760366654512243400
oct5575055465654375
9874545445003066
10202110102100221
115944245a6aa697
121a8023603153b9
1388a0b9321a883
1437ca277073d37
1518575330d1566
hexb7d16cd758fd

202110102100221 has 96 divisors (see below), whose sum is σ = 322044511219200. Its totient is φ = 112377610122624.

The previous prime is 202110102100183. The next prime is 202110102100271. The reversal of 202110102100221 is 122001201011202.

It is not a de Polignac number, because 202110102100221 - 215 = 202110102067453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202110102100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202110102100271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5639686915 + ... + 5639722751.

It is an arithmetic number, because the mean of its divisors is an integer number (3354630325200).

Almost surely, 2202110102100221 is an apocalyptic number.

202110102100221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202110102100221 is a deficient number, since it is larger than the sum of its proper divisors (119934409118979).

202110102100221 is a wasteful number, since it uses less digits than its factorization.

202110102100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42903 (or 42896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202110102100221 its reverse (122001201011202), we get a palindrome (324111303111423).

The spelling of 202110102100221 in words is "two hundred two trillion, one hundred ten billion, one hundred two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 21 49 67 83 147 201 249 469 581 1407 1743 3283 4067 5561 6899 9849 12201 16683 20697 35837 38927 48293 107511 116781 144879 250859 272489 338051 462233 572617 752577 817467 1014153 1386699 1717851 1756013 2401079 2974471 3235631 4008319 5268039 7203237 8923413 9706893 12024957 16807553 20821297 22649417 28058233 38365339 50422659 62463891 67948251 84174699 115096017 117652871 145749079 199289557 247239463 268557373 352958613 437247237 597868671 741718389 805672119 1395026899 1730676241 1879901611 4185080697 5192028723 5639704833 9765188293 12114733687 16565044021 20520875429 29295564879 36344201061 49695132063 61562626287 115955308147 143646128003 347865924441 430938384009 811687157029 1005522896021 1374898653743 2435061471087 3016568688063 4124695961229 9624290576201 28872871728603 67370034033407 202110102100221