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315431203100 = 2252133122335099
BaseRepresentation
bin1001001011100010010…
…10100011000100011100
31010011011221110100212212
410211301022203010130
520132000341444400
6400523533215552
731534451662556
oct4456112430434
91104157410785
10315431203100
11111856766612
12511713315b8
132398bac2a10
14113a47304d6
15831229c335
hex49712a311c

315431203100 has 144 divisors (see below), whose sum is σ = 764351078400. Its totient is φ = 112201286400.

The previous prime is 315431203099. The next prime is 315431203121. The reversal of 315431203100 is 1302134513.

It is a super-2 number, since 2×3154312031002 (a number of 24 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 47 ways as a sum of consecutive naturals, for example, 8969351 + ... + 9004449.

It is an arithmetic number, because the mean of its divisors is an integer number (5307993600).

Almost surely, 2315431203100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315431203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382175539200).

315431203100 is an abundant number, since it is smaller than the sum of its proper divisors (448919875300).

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

315431203100 is a wasteful number, since it uses less digits than its factorization.

315431203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35380 (or 35373 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 315431203100 its reverse (1302134513), we get a palindrome (316733337613).

The spelling of 315431203100 in words is "three hundred fifteen billion, four hundred thirty-one million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 223 260 310 325 403 446 620 650 775 806 892 1115 1300 1550 1612 2015 2230 2899 3100 4030 4460 5575 5798 6913 8060 10075 11150 11596 13826 14495 20150 22300 27652 28990 34565 35099 40300 57980 69130 70198 72475 89869 138260 140396 144950 172825 175495 179738 289900 345650 350990 359476 449345 456287 691300 701980 877475 898690 912574 1088069 1754950 1797380 1825148 2176138 2246725 2281435 3509900 4352276 4493450 4562870 5440345 7827077 8986900 9125740 10880690 11407175 14144897 15654154 21761380 22814350 27201725 28289794 31308308 39135385 45628700 54403450 56579588 70724485 78270770 101752001 108806900 141448970 156541540 195676925 203504002 242639387 282897940 353622425 391353850 407008004 485278774 508760005 707244850 782707700 970557548 1017520010 1213196935 1414489700 2035040020 2426393870 2543800025 3154312031 4852787740 5087600050 6065984675 6308624062 10175200100 12131969350 12617248124 15771560155 24263938700 31543120310 63086240620 78857800775 157715601550 315431203100