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213122331300 = 223521571452201
BaseRepresentation
bin1100011001111100010…
…1001011001010100100
3202101002212021011221210
43012133011023022210
511442433304100200
6241523531111420
721253240632444
oct3063705131244
9671085234853
10213122331300
1182425aaa9aa
123537a2a2570
1317135b52c58
14a45abb2124
1558254dc650
hex319f14b2a4

213122331300 has 72 divisors (see below), whose sum is σ = 617027820192. Its totient is φ = 56796320000.

The previous prime is 213122331283. The next prime is 213122331347. The reversal of 213122331300 is 3133221312.

It is a super-2 number, since 2×2131223313002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245200 + ... + 697400.

It is an arithmetic number, because the mean of its divisors is an integer number (8569830836).

Almost surely, 2213122331300 is an apocalyptic number.

213122331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122331300 is an abundant number, since it is smaller than the sum of its proper divisors (403905488892).

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

213122331300 is a wasteful number, since it uses less digits than its factorization.

213122331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453789 (or 453782 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213122331300 its reverse (3133221312), we get a palindrome (216255552612).

The spelling of 213122331300 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1571 3142 4713 6284 7855 9426 15710 18852 23565 31420 39275 47130 78550 94260 117825 157100 235650 452201 471300 904402 1356603 1808804 2261005 2713206 4522010 5426412 6783015 9044020 11305025 13566030 22610050 27132060 33915075 45220100 67830150 135660300 710407771 1420815542 2131223313 2841631084 3552038855 4262446626 7104077710 8524893252 10656116565 14208155420 17760194275 21312233130 35520388550 42624466260 53280582825 71040777100 106561165650 213122331300