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13300213140 = 22325371997029
BaseRepresentation
bin11000110001100000…
…10010010110010100
31021022220200211110200
430120300102112110
5204214323310030
610035433420500
7650406642414
oct143060222624
937286624420
1013300213140
115705694a95
1226b226a730
13133c645806
14902596644
1552c9a3d60
hex318c12594

13300213140 has 72 divisors (see below), whose sum is σ = 41434378440. Its totient is φ = 3450864384.

The previous prime is 13300213139. The next prime is 13300213181. The reversal of 13300213140 is 4131200331.

13300213140 is a `hidden beast` number, since 1 + 330 + 0 + 21 + 314 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3299813136 + 10000400004 = 57444^2 + 100002^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991855 + ... + 1005174.

Almost surely, 213300213140 is an apocalyptic number.

13300213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300213140 is an abundant number, since it is smaller than the sum of its proper divisors (28134165300).

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

13300213140 is a wasteful number, since it uses less digits than its factorization.

13300213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997081 (or 1997076 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13300213140 its reverse (4131200331), we get a palindrome (17431413471).

The spelling of 13300213140 in words is "thirteen billion, three hundred million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 1997029 3994058 5991087 7988116 9985145 11982174 17973261 19970290 23964348 29955435 35946522 39940580 59910870 71893044 73890073 89866305 119821740 147780146 179732610 221670219 295560292 359465220 369450365 443340438 665010657 738900730 886680876 1108351095 1330021314 1477801460 2216702190 2660042628 3325053285 4433404380 6650106570 13300213140