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131313203312100 = 22352821953255953
BaseRepresentation
bin11101110110110110111100…
…110101100111010111100100
3122012221102022220201111020020
4131312312330311213113210
5114202413420021441400
61143140241450235140
736442031406531345
oct3566667465472744
9565842286644206
10131313203312100
1138927686a3a1a7
1212889466125ab0
135836a21bc8024
14245d8430b80cc
15102ab576d12a0
hex776dbcd675e4

131313203312100 has 72 divisors (see below), whose sum is σ = 379979101551840. Its totient is φ = 35012593082880.

The previous prime is 131313203312063. The next prime is 131313203312101. The reversal of 131313203312100 is 1213302313131.

It is not an unprimeable number, because it can be changed into a prime (131313203312101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24162277 + ... + 29093676.

Almost surely, 2131313203312100 is an apocalyptic number.

131313203312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131313203312100 is an abundant number, since it is smaller than the sum of its proper divisors (248665898239740).

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

131313203312100 is a wasteful number, since it uses less digits than its factorization.

131313203312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53264189 (or 53264182 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131313203312100 its reverse (1213302313131), we get a palindrome (132526505625231).

The spelling of 131313203312100 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 8219 16438 24657 32876 41095 49314 82190 98628 123285 164380 205475 246570 410950 493140 616425 821900 1232850 2465700 53255953 106511906 159767859 213023812 266279765 319535718 532559530 639071436 798839295 1065119060 1331398825 1597678590 2662797650 3195357180 3994196475 5325595300 7988392950 15976785900 437710677707 875421355414 1313132033121 1750842710828 2188553388535 2626264066242 4377106777070 5252528132484 6565660165605 8754213554140 10942766942675 13131320331210 21885533885350 26262640662420 32828300828025 43771067770700 65656601656050 131313203312100