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21202021100 = 22521356928663
BaseRepresentation
bin10011101111101111…
…010010101011101100
32000201121100021012202
4103233233102223230
5321410204133400
613423504521032
71350256130411
oct235757225354
960647307182
1021202021100
118a9aa96297
124138620178
131ccb729020
141051bc0108
158415554d5
hex4efbd2aec

21202021100 has 72 divisors (see below), whose sum is σ = 49636302240. Its totient is φ = 7814407680.

The previous prime is 21202021097. The next prime is 21202021103. The reversal of 21202021100 is 112020212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21202021097) and next prime (21202021103).

It is not an unprimeable number, because it can be changed into a prime (21202021103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725369 + ... + 754031.

Almost surely, 221202021100 is an apocalyptic number.

21202021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24818151120).

21202021100 is an abundant number, since it is smaller than the sum of its proper divisors (28434281140).

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

21202021100 is a wasteful number, since it uses less digits than its factorization.

21202021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29259 (or 29252 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21202021100 its reverse (112020212), we get a palindrome (21314041312).

The spelling of 21202021100 in words is "twenty-one billion, two hundred two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 569 650 1138 1300 2276 2845 5690 7397 11380 14225 14794 28450 28663 29588 36985 56900 57326 73970 114652 143315 147940 184925 286630 369850 372619 573260 716575 739700 745238 1433150 1490476 1863095 2866300 3726190 7452380 9315475 16309247 18630950 32618494 37261900 65236988 81546235 163092470 212020211 326184940 407731175 424040422 815462350 848080844 1060101055 1630924700 2120202110 4240404220 5300505275 10601010550 21202021100