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312213420200 = 235211212901381
BaseRepresentation
bin1001000101100010101…
…11101011100010101000
31002211212200122001120102
410202301113223202220
520103403113421300
6355232345044532
731361640166403
oct4426127534250
91084780561512
10312213420200
11110455377700
1250613786748
1323598268c76
141117b236d3a
1581c4a3a0d5
hex48b15eb8a8

312213420200 has 72 divisors (see below), whose sum is σ = 797885969790. Its totient is φ = 113532144000.

The previous prime is 312213420179. The next prime is 312213420217. The reversal of 312213420200 is 2024312213.

It can be written as a sum of positive squares in 3 ways, for example, as 257306620516 + 54906799684 = 507254^2 + 234322^2 .

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 17 ways as a sum of consecutive naturals, for example, 6426491 + ... + 6474890.

Almost surely, 2312213420200 is an apocalyptic number.

It is an amenable number.

312213420200 is an abundant number, since it is smaller than the sum of its proper divisors (485672549590).

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

312213420200 is a wasteful number, since it uses less digits than its factorization.

312213420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12901419 (or 12901399 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312213420200 its reverse (2024312213), we get a palindrome (314237732413).

The spelling of 312213420200 in words is "three hundred twelve billion, two hundred thirteen million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 12901381 25802762 51605524 64506905 103211048 129013810 141915191 258027620 283830382 322534525 516055240 567660764 645069050 709575955 1135321528 1290138100 1419151910 1561067101 2580276200 2838303820 3122134202 3547879775 5676607640 6244268404 7095759550 7805335505 12488536808 14191519100 15610671010 28383038200 31221342020 39026677525 62442684040 78053355050 156106710100 312213420200