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315031220100 = 223252379460397
BaseRepresentation
bin1001001010110010101…
…00101110111110000100
31010010011001211010100200
410211121110232332010
520130140443020400
6400420124210500
731521524121432
oct4453124567604
91103131733320
10315031220100
11111670a02453
125107b399a30
1323926c8909c
1411367571d52
1582dc0ddb00
hex495952ef84

315031220100 has 108 divisors (see below), whose sum is σ = 1014135744804. Its totient is φ = 81737821440.

The previous prime is 315031220081. The next prime is 315031220111. The reversal of 315031220100 is 1022130513.

315031220100 is a `hidden beast` number, since 3 + 150 + 312 + 201 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 734193216 + 314297026884 = 27096^2 + 560622^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4696899 + ... + 4763498.

Almost surely, 2315031220100 is an apocalyptic number.

315031220100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315031220100 is an abundant number, since it is smaller than the sum of its proper divisors (699104524704).

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

315031220100 is a wasteful number, since it uses less digits than its factorization.

315031220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460454 (or 9460444 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 315031220100 its reverse (1022130513), we get a palindrome (316053350613).

The spelling of 315031220100 in words is "three hundred fifteen billion, thirty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 9460397 18920794 28381191 37841588 47301985 56762382 85143573 94603970 113524764 141905955 170287146 189207940 236509925 283811910 340574292 350034689 425717865 473019850 567623820 700069378 709529775 851435730 946039700 1050104067 1400138756 1419059550 1702871460 1750173445 2100208134 2128589325 2838119100 3150312201 3500346890 4200416268 4257178650 5250520335 6300624402 7000693780 8514357300 8750867225 10501040670 12601248804 15751561005 17501734450 21002081340 26252601675 31503122010 35003468900 52505203350 63006244020 78757805025 105010406700 157515610050 315031220100