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131020231200 = 2535254591763
BaseRepresentation
bin111101000000101101…
…0100001001000100000
3110112012000200100201120
41322001122201020200
54121312134344300
6140105002132240
712315542406225
oct1720132411040
9415160610646
10131020231200
1150624560a11
12214864b1080
13c480376431
1464acba194c
15361c6de3a0
hex1e816a1220

131020231200 has 72 divisors (see below), whose sum is σ = 426470860368. Its totient is φ = 34938727680.

The previous prime is 131020231189. The next prime is 131020231207. The reversal of 131020231200 is 2132020131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131020231200.

It is not an unprimeable number, because it can be changed into a prime (131020231207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27293482 + ... + 27298281.

It is an arithmetic number, because the mean of its divisors is an integer number (5923206394).

Almost surely, 2131020231200 is an apocalyptic number.

131020231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020231200 is an abundant number, since it is smaller than the sum of its proper divisors (295450629168).

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

131020231200 is a wasteful number, since it uses less digits than its factorization.

131020231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54591786 (or 54591773 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131020231200 its reverse (2132020131), we get a palindrome (133152251331).

The spelling of 131020231200 in words is "one hundred thirty-one billion, twenty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 54591763 109183526 163775289 218367052 272958815 327550578 436734104 545917630 655101156 818876445 873468208 1091835260 1310202312 1364794075 1637752890 1746936416 2183670520 2620404624 2729588150 3275505780 4094382225 4367341040 5240809248 5459176300 6551011560 8188764450 8734682080 10918352600 13102023120 16377528900 21836705200 26204046240 32755057800 43673410400 65510115600 131020231200