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131012033200 = 24521791829777
BaseRepresentation
bin111101000000011101…
…1001111101010110000
3110112011110020212011221
41322000323033222300
54121303040030300
6140104110314424
712315412623316
oct1720073175260
9415143225157
10131012033200
115061a971704
12214837b8a14
13c47b765b49
1464aba6a0b6
15361bb2031a
hex1e80ecfab0

131012033200 has 60 divisors (see below), whose sum is σ = 316514998440. Its totient is φ = 52112020480.

The previous prime is 131012033177. The next prime is 131012033203. The reversal of 131012033200 is 2330210131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (131012033203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 843289 + ... + 986488.

It is an arithmetic number, because the mean of its divisors is an integer number (5275249974).

Almost surely, 2131012033200 is an apocalyptic number.

131012033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012033200 is an abundant number, since it is smaller than the sum of its proper divisors (185502965240).

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

131012033200 is a wasteful number, since it uses less digits than its factorization.

131012033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829974 (or 1829963 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131012033200 its reverse (2330210131), we get a palindrome (133342243331).

The spelling of 131012033200 in words is "one hundred thirty-one billion, twelve million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 35800 71600 1829777 3659554 7319108 9148885 14638216 18297770 29276432 36595540 45744425 73191080 91488850 146382160 182977700 327530083 365955400 655060166 731910800 1310120332 1637650415 2620240664 3275300830 5240481328 6550601660 8188252075 13101203320 16376504150 26202406640 32753008300 65506016600 131012033200