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312212202320 = 245263136110903
BaseRepresentation
bin1001000101100010100…
…11000010001101010000
31002211212121100011221202
410202301103002031100
520103402310433240
6355232303010332
731361623634624
oct4426123021520
91084777304852
10312212202320
11110454715697
12506132999a8
1323597c30825
141117addb184
1581c4899315
hex48b14c2350

312212202320 has 80 divisors (see below), whose sum is σ = 729255681792. Its totient is φ = 124307220480.

The previous prime is 312212202311. The next prime is 312212202331. The reversal of 312212202320 is 23202212213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3122122023202 (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 a junction number, because it is equal to n+sod(n) for n = 312212202292 and 312212202301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28629989 + ... + 28640891.

Almost surely, 2312212202320 is an apocalyptic number.

It is an amenable number.

312212202320 is an abundant number, since it is smaller than the sum of its proper divisors (417043479472).

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

312212202320 is a wasteful number, since it uses less digits than its factorization.

312212202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12540 (or 12534 counting only the distinct ones).

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

Adding to 312212202320 its reverse (23202212213), we get a palindrome (335414414533).

The spelling of 312212202320 in words is "three hundred twelve billion, two hundred twelve million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 263 526 1052 1315 1361 2104 2630 2722 4208 5260 5444 6805 10520 10888 10903 13610 21040 21776 21806 27220 43612 54440 54515 87224 108880 109030 174448 218060 357943 436120 715886 872240 1431772 1789715 2863544 2867489 3579430 5727088 5734978 7158860 11469956 14317720 14337445 14838983 22939912 28635440 28674890 29677966 45879824 57349780 59355932 74194915 114699560 118711864 148389830 229399120 237423728 296779660 593559320 1187118640 3902652529 7805305058 15610610116 19513262645 31221220232 39026525290 62442440464 78053050580 156106101160 312212202320