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131217750000 = 243256292011
BaseRepresentation
bin111101000110100101…
…1111111011111110000
3110112200210100100120200
41322031023333133300
54122213221000000
6140140335435200
712323461320621
oct1721513773760
9415623310520
10131217750000
1150715aa9797
1221520685b00
13c4b227226c
1464cb0d9a48
15362ec08500
hex1e8d2ff7f0

131217750000 has 420 divisors, whose sum is σ = 475093137480. Its totient is φ = 33768000000.

The previous prime is 131217749977. The next prime is 131217750019. The reversal of 131217750000 is 57712131.

It is a happy number.

131217750000 is a `hidden beast` number, since 131 + 21 + 7 + 7 + 500 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 65248995 + ... + 65251005.

Almost surely, 2131217750000 is an apocalyptic number.

131217750000 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 131217750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237546568740).

131217750000 is an abundant number, since it is smaller than the sum of its proper divisors (343875387480).

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

131217750000 is an equidigital number, since it uses as much as digits as its factorization.

131217750000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 131217750000 in words is "one hundred thirty-one billion, two hundred seventeen million, seven hundred fifty thousand".