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331211320 = 2351129101257
BaseRepresentation
bin10011101111011…
…110001000111000
3212002020021111221
4103233132020320
51134242230240
652511001424
711131151446
oct2357361070
9762207457
10331211320
1115aa61a70
1292b09274
135380823b
1431db9b96
151e126a4a
hex13bde238

331211320 has 128 divisors (see below), whose sum is σ = 852638400. Its totient is φ = 114688000.

The previous prime is 331211299. The next prime is 331211329. The reversal of 331211320 is 23112133.

It is a super-2 number, since 2×3312113202 = 219401876992284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331211294 and 331211303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331211329) 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, 1288632 + ... + 1288888.

Almost surely, 2331211320 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 331211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426319200).

331211320 is an abundant number, since it is smaller than the sum of its proper divisors (521427080).

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

331211320 is a wasteful number, since it uses less digits than its factorization.

331211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 331211320 is about 18199.2120708563. The cubic root of 331211320 is about 691.8868192278.

Adding to 331211320 its reverse (23112133), we get a palindrome (354323453).

It can be divided in two parts, 3312113 and 20, that added together give a palindrome (3312133).

The spelling of 331211320 in words is "three hundred thirty-one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 101 110 116 145 202 220 232 257 290 319 404 440 505 514 580 638 808 1010 1028 1111 1160 1276 1285 1595 2020 2056 2222 2552 2570 2827 2929 3190 4040 4444 5140 5555 5654 5858 6380 7453 8888 10280 11110 11308 11716 12760 14135 14645 14906 22220 22616 23432 25957 28270 29290 29812 32219 37265 44440 51914 56540 58580 59624 64438 74530 81983 103828 113080 117160 128876 129785 149060 161095 163966 207656 257752 259570 285527 298120 322190 327932 409915 519140 571054 644380 655864 752753 819830 1038280 1142108 1288760 1427635 1505506 1639660 2284216 2855270 3011012 3279320 3763765 5710540 6022024 7527530 8280283 11421080 15055060 16560566 30110120 33121132 41401415 66242264 82802830 165605660 331211320