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131200323030 = 23257297181189
BaseRepresentation
bin111101000110000100…
…1100000110111010110
3110112122120112222021100
41322030021200313112
54122144240314110
6140134514130530
712323160226260
oct1721411406726
9415576488240
10131200323030
1150707186637
1221516880a46
13c4ab78004a
1464c8a80b30
15362d414bc0
hex1e8c260dd6

131200323030 has 96 divisors (see below), whose sum is σ = 403295630400. Its totient is φ = 28954550016.

The previous prime is 131200323019. The next prime is 131200323031. The reversal of 131200323030 is 30323002131.

131200323030 is a `hidden beast` number, since 1 + 312 + 0 + 0 + 323 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131200322994 and 131200323012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131200323031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3572325 + ... + 3608864.

It is an arithmetic number, because the mean of its divisors is an integer number (4200996150).

Almost surely, 2131200323030 is an apocalyptic number.

131200323030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131200323030 is an abundant number, since it is smaller than the sum of its proper divisors (272095307370).

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

131200323030 is a wasteful number, since it uses less digits than its factorization.

131200323030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7181238 (or 7181235 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131200323030 its reverse (30323002131), we get a palindrome (161523325161).

The spelling of 131200323030 in words is "one hundred thirty-one billion, two hundred million, three hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1218 1305 1827 2030 2610 3045 3654 6090 9135 18270 7181189 14362378 21543567 35905945 43087134 50268323 64630701 71811890 100536646 107717835 129261402 150804969 208254481 215435670 251341615 301609938 323153505 416508962 452414907 502683230 624763443 646307010 754024845 904829814 1041272405 1249526886 1457781367 1508049690 1874290329 2082544810 2262074535 2915562734 3123817215 3748580658 4373344101 4524149070 6247634430 7288906835 8746688202 9371451645 13120032303 14577813670 18742903290 21866720505 26240064606 43733441010 65600161515 131200323030