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212032330000 = 24541753101233
BaseRepresentation
bin1100010101111000011…
…1001001100100010000
3202021021220020101021021
43011132013021210100
511433220234030000
6241223432405224
721214234032211
oct3053607114420
9667256211237
10212032330000
1181a167a4887
1235115246814
1316cc109337a
14a396117408
1557ae97e11a
hex315e1c9910

212032330000 has 400 divisors, whose sum is σ = 561687839856. Its totient is φ = 77209600000.

The previous prime is 212032329979. The next prime is 212032330019. The reversal of 212032330000 is 33230212.

It can be written as a sum of positive squares in 40 ways, for example, as 209364814096 + 2667515904 = 457564^2 + 51648^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 910009884 + ... + 910010116.

Almost surely, 2212032330000 is an apocalyptic number.

212032330000 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 212032330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280843919928).

212032330000 is an abundant number, since it is smaller than the sum of its proper divisors (349655509856).

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

212032330000 is a wasteful number, since it uses less digits than its factorization.

212032330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 212032330000 its reverse (33230212), we get a palindrome (212065560212).

The spelling of 212032330000 in words is "two hundred twelve billion, thirty-two million, three hundred thirty thousand".