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131332023100 = 225253167148381
BaseRepresentation
bin111101001001111111…
…1111010001100111100
3110112222202101000210201
41322103333322030330
54122431444214400
6140155541013244
712326346530425
oct1722377721474
9415882330721
10131332023100
1150774559873
12215529b4224
13c4ccb42595
1464dc36464c
153639c7c06a
hex1e93ffa33c

131332023100 has 72 divisors (see below), whose sum is σ = 292108366368. Its totient is φ = 51232646400.

The previous prime is 131332023089. The next prime is 131332023133. The reversal of 131332023100 is 1320233131.

131332023100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1313320231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 810910 + ... + 959290.

It is an arithmetic number, because the mean of its divisors is an integer number (4057060644).

Almost surely, 2131332023100 is an apocalyptic number.

131332023100 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 131332023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146054183184).

131332023100 is an abundant number, since it is smaller than the sum of its proper divisors (160776343268).

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

131332023100 is a wasteful number, since it uses less digits than its factorization.

131332023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148615 (or 148608 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 131332023100 its reverse (1320233131), we get a palindrome (132652256231).

The spelling of 131332023100 in words is "one hundred thirty-one billion, three hundred thirty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 167 212 265 334 530 668 835 1060 1325 1670 2650 3340 4175 5300 8350 8851 16700 17702 35404 44255 88510 148381 177020 221275 296762 442550 593524 741905 885100 1483810 2967620 3709525 7419050 7864193 14838100 15728386 24779627 31456772 39320965 49559254 78641930 99118508 123898135 157283860 196604825 247796270 393209650 495592540 619490675 786419300 1238981350 1313320231 2477962700 2626640462 5253280924 6566601155 13133202310 26266404620 32833005775 65666011550 131332023100