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212100403120 = 2452651255039
BaseRepresentation
bin1100010110001000101…
…0110100111110110000
3202021110122022212000221
43011202022310332300
511433340200344440
6241234303422424
721216021452134
oct3054212647660
9667418285027
10212100403120
1181a5116a161
1235133bb4a14
1317002208b18
14a3a11973c4
1557b5928d4a
hex31622b4fb0

212100403120 has 20 divisors (see below), whose sum is σ = 493133437440. Its totient is φ = 84840161216.

The previous prime is 212100403063. The next prime is 212100403139. The reversal of 212100403120 is 21304001212.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212100403094 and 212100403103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325627440 + ... + 1325627599.

It is an arithmetic number, because the mean of its divisors is an integer number (24656671872).

Almost surely, 2212100403120 is an apocalyptic number.

212100403120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100403120 is an abundant number, since it is smaller than the sum of its proper divisors (281033034320).

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

212100403120 is a wasteful number, since it uses less digits than its factorization.

212100403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651255052 (or 2651255046 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212100403120 its reverse (21304001212), we get a palindrome (233404404332).

The spelling of 212100403120 in words is "two hundred twelve billion, one hundred million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2651255039 5302510078 10605020156 13256275195 21210040312 26512550390 42420080624 53025100780 106050201560 212100403120