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213023662113400 = 235243175321296637
BaseRepresentation
bin110000011011111001101111…
…101101011000001001111000
31000221020212022021120111021021
4300123321233231120021320
5210410134430000112100
62033021415215152224
762604310634613445
oct6033715755301170
91027225267514237
10213023662113400
116196a911825066
121ba854b5515674
1391b307823bc18
143a8658644c9cc
15199637ac22a1a
hexc1be6fb58278

213023662113400 has 192 divisors, whose sum is σ = 507401877549600. Its totient is φ = 83128774901760.

The previous prime is 213023662113391. The next prime is 213023662113491. The reversal of 213023662113400 is 4311266320312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32096374882 + ... + 32096381518.

Almost surely, 2213023662113400 is an apocalyptic number.

213023662113400 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 213023662113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253700938774800).

213023662113400 is an abundant number, since it is smaller than the sum of its proper divisors (294378215436200).

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

213023662113400 is a wasteful number, since it uses less digits than its factorization.

213023662113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10578 (or 10569 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 213023662113400 in words is "two hundred thirteen trillion, twenty-three billion, six hundred sixty-two million, one hundred thirteen thousand, four hundred".