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313211302220 = 225194726776551
BaseRepresentation
bin1001000111011001101…
…10010011000101001100
31002221110020022201100202
410203230312103011030
520112424043132340
6355515353113032
731425445066415
oct4435466230514
91087406281322
10313211302220
11110917684193
12508519b8778
13236c6c140bb
141123399280c
15823244dc15
hex48ecd9314c

313211302220 has 96 divisors (see below), whose sum is σ = 707465041920. Its totient is φ = 116104147200.

The previous prime is 313211302213. The next prime is 313211302223. The reversal of 313211302220 is 22203112313.

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 = 313211302192 and 313211302201.

It is not an unprimeable number, because it can be changed into a prime (313211302223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47807945 + ... + 47814495.

It is an arithmetic number, because the mean of its divisors is an integer number (7369427520).

Almost surely, 2313211302220 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 313211302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353732520960).

313211302220 is an abundant number, since it is smaller than the sum of its proper divisors (394253739700).

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

313211302220 is a wasteful number, since it uses less digits than its factorization.

313211302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9301 counting only the distinct ones).

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

Adding to 313211302220 its reverse (22203112313), we get a palindrome (335414414533).

The spelling of 313211302220 in words is "three hundred thirteen billion, two hundred eleven million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 2677 3572 4465 5354 6551 8930 10708 13102 13385 17860 26204 26770 32755 50863 53540 65510 101726 124469 125819 131020 203452 248938 251638 254315 307897 497876 503276 508630 615794 622345 629095 1017260 1231588 1244690 1258190 1539485 2390561 2489380 2516380 3078970 4781122 5850043 6157940 9562244 11700086 11952805 17537027 23400172 23905610 29250215 35074054 47811220 58500430 70148108 87685135 117000860 175370270 333203513 350740540 666407026 824240269 1332814052 1648480538 1666017565 3296961076 3332035130 4121201345 6664070260 8242402690 15660565111 16484805380 31321130222 62642260444 78302825555 156605651110 313211302220