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213312130444 = 22783331277301
BaseRepresentation
bin1100011010101001100…
…1001100110110001100
3202101121002101222102201
43012222121030312030
511443330401133234
6241554431131244
721261034122640
oct3065231146614
9671532358381
10213312130444
11825131558a6
1235411973b24
131716627813a
14a47809ac20
155836ece314
hex31aa64cd8c

213312130444 has 48 divisors (see below), whose sum is σ = 433070297856. Its totient is φ = 90044856000.

The previous prime is 213312130441. The next prime is 213312130483. The reversal of 213312130444 is 444031213312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (213312130441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630594 + ... + 907894.

It is an arithmetic number, because the mean of its divisors is an integer number (9022297872).

Almost surely, 2213312130444 is an apocalyptic number.

It is an amenable number.

213312130444 is an abundant number, since it is smaller than the sum of its proper divisors (219758167412).

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

213312130444 is a wasteful number, since it uses less digits than its factorization.

213312130444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277726 (or 277724 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213312130444 its reverse (444031213312), we get a palindrome (657343343756).

It can be divided in two parts, 21331 and 2130444, that added together give a triangular number (2151775 = T2074).

The spelling of 213312130444 in words is "two hundred thirteen billion, three hundred twelve million, one hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 83 166 331 332 581 662 1162 1324 2317 2324 4634 9268 27473 54946 109892 192311 277301 384622 554602 769244 1109204 1941107 3882214 7764428 23015983 46031966 91786631 92063932 161111881 183573262 322223762 367146524 642506417 644447524 1285012834 2570025668 7618290373 15236580746 30473161492 53328032611 106656065222 213312130444