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131201325200 = 245211181164743
BaseRepresentation
bin111101000110000110…
…1010101100010010000
3110112122122102212222202
41322030031111202100
54122200014401300
6140134551422332
712323201602121
oct1721415254220
9415578385882
10131201325200
1150707800580
12215170849a8
13c4aba4124a
1464c8c62048
15362d561ad5
hex1e8c355890

131201325200 has 120 divisors (see below), whose sum is σ = 345768661056. Its totient is φ = 47445696000.

The previous prime is 131201325191. The next prime is 131201325223. The reversal of 131201325200 is 2523102131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 714029 + ... + 878771.

Almost surely, 2131201325200 is an apocalyptic number.

131201325200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131201325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172884330528).

131201325200 is an abundant number, since it is smaller than the sum of its proper divisors (214567335856).

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

131201325200 is a wasteful number, since it uses less digits than its factorization.

131201325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164953 (or 164942 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 131201325200 its reverse (2523102131), we get a palindrome (133724427331).

The spelling of 131201325200 in words is "one hundred thirty-one billion, two hundred one million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 181 200 220 275 362 400 440 550 724 880 905 1100 1448 1810 1991 2200 2896 3620 3982 4400 4525 7240 7964 9050 9955 14480 15928 18100 19910 31856 36200 39820 49775 72400 79640 99550 159280 164743 199100 329486 398200 658972 796400 823715 1317944 1647430 1812173 2635888 3294860 3624346 4118575 6589720 7248692 8237150 9060865 13179440 14497384 16474300 18121730 28994768 29818483 32948600 36243460 45304325 59636966 65897200 72486920 90608650 119273932 144973840 149092415 181217300 238547864 298184830 328003313 362434600 477095728 596369660 656006626 724869200 745462075 1192739320 1312013252 1490924150 1640016565 2385478640 2624026504 2981848300 3280033130 5248053008 5963696600 6560066260 8200082825 11927393200 13120132520 16400165650 26240265040 32800331300 65600662600 131201325200