Search a number
-
+
21122210212100 = 22522713672123753
BaseRepresentation
bin1001100110101111001011…
…10101100010100100000100
32202210021010010221221122122
410303113211311202210010
510232031241303241400
6112531224233345112
74310013026314244
oct463274565424404
982707103857578
1021122210212100
116803974012118
122451761568198
13ba2a7b63253a
1453046b385b24
1526968563a685
hex1335e5d62904

21122210212100 has 72 divisors (see below), whose sum is σ = 46129703843328. Its totient is φ = 8394766905600.

The previous prime is 21122210212063. The next prime is 21122210212111. The reversal of 21122210212100 is 121201222112.

It is a super-2 number, since 2×211222102121002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8883824 + ... + 11007576.

Almost surely, 221122210212100 is an apocalyptic number.

21122210212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122210212100 is an abundant number, since it is smaller than the sum of its proper divisors (25007493631228).

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

21122210212100 is a wasteful number, since it uses less digits than its factorization.

21122210212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124405 (or 2124398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21122210212100 its reverse (121201222112), we get a palindrome (21243411434212).

The spelling of 21122210212100 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 271 367 542 734 1084 1355 1468 1835 2710 3670 5420 6775 7340 9175 13550 18350 27100 36700 99457 198914 397828 497285 994570 1989140 2123753 2486425 4247506 4972850 8495012 9945700 10618765 21237530 42475060 53093825 106187650 212375300 575537063 779417351 1151074126 1558834702 2302148252 2877685315 3117669404 3897086755 5755370630 7794173510 11510741260 14388426575 15588347020 19485433775 28776853150 38970867550 57553706300 77941735100 211222102121 422444204242 844888408484 1056110510605 2112221021210 4224442042420 5280552553025 10561105106050 21122210212100