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213203250000 = 2432561337197
BaseRepresentation
bin1100011010001111100…
…1110110101101010000
3202101022111112021112200
43012203321312231100
511443120013000000
6241535541323200
721255242503146
oct3064371665520
9671274467480
10213203250000
1182467749364
12353a1406500
1317149845540
14a467837596
15582c673500
hex31a3e76b50

213203250000 has 840 divisors, whose sum is σ = 829098918648. Its totient is φ = 50803200000.

The previous prime is 213203249993. The next prime is 213203250023. The reversal of 213203250000 is 52302312.

213203250000 is a `hidden beast` number, since 2 + 132 + 0 + 32 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 28 ways, for example, as 170374119696 + 42829130304 = 412764^2 + 206952^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1082249902 + ... + 1082250098.

Almost surely, 2213203250000 is an apocalyptic number.

213203250000 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 213203250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414549459324).

213203250000 is an abundant number, since it is smaller than the sum of its proper divisors (615895668648).

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

213203250000 is a wasteful number, since it uses less digits than its factorization.

213203250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 213203250000 its reverse (52302312), we get a palindrome (213255552312).

It can be divided in two parts, 213203 and 250000, that added together give a triangular number (463203 = T962).

The spelling of 213203250000 in words is "two hundred thirteen billion, two hundred three million, two hundred fifty thousand".