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331213300 = 225211231883
BaseRepresentation
bin10011101111011…
…110100111110100
3212002020101020021
4103233132213310
51134242311200
652511014524
711131160305
oct2357364764
9762211207
10331213300
1115aa63500
1292b0a444
1353809102
1431dba7ac
151e12741a
hex13bde9f4

331213300 has 108 divisors (see below), whose sum is σ = 816419968. Its totient is φ = 116424000.

The previous prime is 331213297. The next prime is 331213313. The reversal of 331213300 is 3312133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374659 + ... + 375541.

Almost surely, 2331213300 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 331213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408209984).

331213300 is an abundant number, since it is smaller than the sum of its proper divisors (485206668).

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

331213300 is a wasteful number, since it uses less digits than its factorization.

331213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 331213300 is about 18199.2664687344. The cubic root of 331213300 is about 691.8881979379. Note that the first 3 decimals are identical.

Adding to 331213300 its reverse (3312133), we get a palindrome (334525433).

331213300 divided by its reverse (3312133) gives a square (100 = 102).

The spelling of 331213300 in words is "three hundred thirty-one million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 121 124 155 220 242 275 310 341 484 550 605 620 682 775 883 1100 1210 1364 1550 1705 1766 2420 3025 3100 3410 3532 3751 4415 6050 6820 7502 8525 8830 9713 12100 15004 17050 17660 18755 19426 22075 27373 34100 37510 38852 44150 48565 54746 75020 88300 93775 97130 106843 109492 136865 187550 194260 213686 242825 273730 301103 375100 427372 485650 534215 547460 602206 684325 971300 1068430 1204412 1368650 1505515 2136860 2671075 2737300 3011030 3312133 5342150 6022060 6624266 7527575 10684300 13248532 15055150 16560665 30110300 33121330 66242660 82803325 165606650 331213300