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211210112000000 = 213561650079
BaseRepresentation
bin110000000001100000101111…
…101100101110000000000000
31000200211111012212002020121202
4300001200233230232000000
5210140431302133000000
62025112330322240332
762326266320161541
oct6001405754560000
91020744185066552
10211210112000000
1161330783a95753
121b831b271b60a8
1390b1049975049
143a228a42364c8
1519640d6800dd5
hexc0182fb2e000

211210112000000 has 196 divisors, whose sum is σ = 527986613559840. Its totient is φ = 84483993600000.

The previous prime is 211210111999973. The next prime is 211210112000033. The reversal of 211210112000000 is 211012112.

It is a super-2 number, since 2×2112101120000002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 127174961 + ... + 128825039.

Almost surely, 2211210112000000 is an apocalyptic number.

211210112000000 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 211210112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263993306779920).

211210112000000 is an abundant number, since it is smaller than the sum of its proper divisors (316776501559840).

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

211210112000000 is an frugal number, since it uses more digits than its factorization.

211210112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650135 (or 1650086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211210112000000 its reverse (211012112), we get a palindrome (211210323012112).

The spelling of 211210112000000 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twelve million", and thus it is an aban number.