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312430213100 = 225241465716363
BaseRepresentation
bin1001000101111100100…
…10101011011111101100
31002212102210120021112002
410202332102223133230
520104324113304400
6355310051431432
731400211664565
oct4427622533754
91085383507462
10312430213100
1111055678a395
12506742b5578
13236011529a5
141119bd4b16c
1581d8aaeed5
hex48be4ab7ec

312430213100 has 72 divisors (see below), whose sum is σ = 694701088368. Its totient is φ = 121890355200.

The previous prime is 312430213099. The next prime is 312430213111. The reversal of 312430213100 is 1312034213.

It is a super-2 number, since 2×3124302131002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19085519 + ... + 19101881.

Almost surely, 2312430213100 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 312430213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347350544184).

312430213100 is an abundant number, since it is smaller than the sum of its proper divisors (382270875268).

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

312430213100 is a wasteful number, since it uses less digits than its factorization.

312430213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21075 (or 21068 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312430213100 its reverse (1312034213), we get a palindrome (313742247313).

The spelling of 312430213100 in words is "three hundred twelve billion, four hundred thirty million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 4657 9314 16363 18628 23285 32726 46570 65452 81815 93140 116425 163630 190937 232850 327260 381874 409075 465700 670883 763748 818150 954685 1341766 1636300 1909370 2683532 3354415 3818740 4773425 6708830 9546850 13417660 16772075 19093700 33544150 67088300 76202491 152404982 304809964 381012455 762024910 1524049820 1905062275 3124302131 3810124550 6248604262 7620249100 12497208524 15621510655 31243021310 62486042620 78107553275 156215106550 312430213100