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21220010222100 = 22352702710065941
BaseRepresentation
bin1001101001100101010110…
…01010111110001000010100
32210010121112222221012222020
410310302223022332020110
510240132040104101400
6113044201011133140
74320044430554604
oct464625312761024
983117488835866
1021220010222100
1168413a0625168
1224686b65a41b0
13bac066415041
145350a816cc04
1526beab65b2a0
hex134cab2be214

21220010222100 has 72 divisors (see below), whose sum is σ = 61405306246368. Its totient is φ = 5657863555200.

The previous prime is 21220010222069. The next prime is 21220010222107. The reversal of 21220010222100 is 122201002212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21220010222100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220010222107) 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, 2924871 + ... + 7141070.

It is an arithmetic number, because the mean of its divisors is an integer number (852851475644).

Almost surely, 221220010222100 is an apocalyptic number.

21220010222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220010222100 is an abundant number, since it is smaller than the sum of its proper divisors (40185296024268).

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

21220010222100 is a wasteful number, since it uses less digits than its factorization.

21220010222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072985 (or 10072978 counting only the distinct ones).

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

Adding to 21220010222100 its reverse (122201002212), we get a palindrome (21342211224312).

The spelling of 21220010222100 in words is "twenty-one trillion, two hundred twenty billion, ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7027 14054 21081 28108 35135 42162 70270 84324 105405 140540 175675 210810 351350 421620 527025 702700 1054050 2108100 10065941 20131882 30197823 40263764 50329705 60395646 100659410 120791292 150989115 201318820 251648525 301978230 503297050 603956460 754945575 1006594100 1509891150 3019782300 70733367407 141466734814 212200102221 282933469628 353666837035 424400204442 707333674070 848800408884 1061000511105 1414667348140 1768334185175 2122001022210 3536668370350 4244002044420 5305002555525 7073336740700 10610005111050 21220010222100