Search a number
-
+
131211132300 = 2232521720634157
BaseRepresentation
bin111101000110011001…
…0101111110110001100
3110112200022220010210200
41322030302233312030
54122210022213200
6140135541533500
712323351136213
oct1721462576614
9415608803720
10131211132300
1150712299816
122151a414290
13c4b0a96071
1464ca29607a
15362e34c800
hex1e8ccafd8c

131211132300 has 216 divisors, whose sum is σ = 435782483136. Its totient is φ = 32907540480.

The previous prime is 131211132281. The next prime is 131211132391. The reversal of 131211132300 is 3231112131.

131211132300 is a `hidden beast` number, since 131 + 211 + 1 + 323 + 0 + 0 = 666.

It is a super-2 number, since 2×1312111323002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31561822 + ... + 31565978.

It is an arithmetic number, because the mean of its divisors is an integer number (2017511496).

Almost surely, 2131211132300 is an apocalyptic number.

131211132300 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 131211132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217891241568).

131211132300 is an abundant number, since it is smaller than the sum of its proper divisors (304571350836).

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

131211132300 is a wasteful number, since it uses less digits than its factorization.

131211132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131211132300 its reverse (3231112131), we get a palindrome (134442244431).

The spelling of 131211132300 in words is "one hundred thirty-one billion, two hundred eleven million, one hundred thirty-two thousand, three hundred".