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21210111122100 = 2235295117433537
BaseRepresentation
bin1001101001010010111010…
…01000111001101010110100
32210002200000010000211121220
410310221131020321222310
510240001301421401400
6113035442431110340
74316244216604005
oct464513510715264
983080003024556
1021210111122100
11683818086688a
1224667b33723b0
13bab1495c4c14
145348095931ac
1526bacc57e7a0
hex134a5d239ab4

21210111122100 has 72 divisors (see below), whose sum is σ = 61374382079808. Its totient is φ = 5655434188800.

The previous prime is 21210111122033. The next prime is 21210111122107. The reversal of 21210111122100 is 122111101212.

It is a happy number.

It is a super-2 number, since 2×212101111221002 (a number of 27 digits) contains 22 as substring.

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 21210111122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210111122107) 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, 863469 + ... + 6570068.

Almost surely, 221210111122100 is an apocalyptic number.

21210111122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210111122100 is an abundant number, since it is smaller than the sum of its proper divisors (40164270957708).

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

21210111122100 is a wasteful number, since it uses less digits than its factorization.

21210111122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7443065 (or 7443058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21210111122100 its reverse (122111101212), we get a palindrome (21332222223312).

The spelling of 21210111122100 in words is "twenty-one trillion, two hundred ten billion, one hundred eleven million, one 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 9511 19022 28533 38044 47555 57066 95110 114132 142665 190220 237775 285330 475550 570660 713325 951100 1426650 2853300 7433537 14867074 22300611 29734148 37167685 44601222 74335370 89202444 111503055 148670740 185838425 223006110 371676850 446012220 557515275 743353700 1115030550 2230061100 70700370407 141400740814 212101111221 282801481628 353501852035 424202222442 707003704070 848404444884 1060505556105 1414007408140 1767509260175 2121011112210 3535018520350 4242022224420 5302527780525 7070037040700 10605055561050 21210111122100