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211032000000 = 293356977
BaseRepresentation
bin1100010010001001111…
…1001100011000000000
3202011201011221100111000
43010202133030120000
511424143143000000
6240540300052000
721150366255213
oct3044237143000
9664634840430
10211032000000
1181553076078
1234a96234000
1316b91a6bc23
14a2dd32177a
155751c35000
hex31227cc600

211032000000 has 560 divisors, whose sum is σ = 781625932560. Its totient is φ = 56217600000.

The previous prime is 211031999951. The next prime is 211032000029. The reversal of 211032000000 is 230112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 215999512 + ... + 216000488.

Almost surely, 2211032000000 is an apocalyptic number.

211032000000 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 211032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390812966280).

211032000000 is an abundant number, since it is smaller than the sum of its proper divisors (570593932560).

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

211032000000 is an frugal number, since it uses more digits than its factorization.

211032000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 211032000000 its reverse (230112), we get a palindrome (211032230112).

The spelling of 211032000000 in words is "two hundred eleven billion, thirty-two million", and thus it is an aban number.