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3302131020 = 22351092691877
BaseRepresentation
bin1100010011010010…
…1000010101001100
322112010112122011220
43010310220111030
523230321143040
61303400043340
7144554436066
oct30464502514
98463478156
103302131020
111444a6aa01
12781a63550
1340817a2a6
142347b2736
15144d742d0
hexc4d2854c

3302131020 has 96 divisors (see below), whose sum is σ = 9370468800. Its totient is φ = 868783104.

The previous prime is 3302130947. The next prime is 3302131031. The reversal of 3302131020 is 201312033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1758322 + ... + 1760198.

It is an arithmetic number, because the mean of its divisors is an integer number (97609050).

Almost surely, 23302131020 is an apocalyptic number.

3302131020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3302131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685234400).

3302131020 is an abundant number, since it is smaller than the sum of its proper divisors (6068337780).

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

3302131020 is a wasteful number, since it uses less digits than its factorization.

3302131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3302131020 is about 57464.1716202366. The cubic root of 3302131020 is about 1489.1259561580.

Adding to 3302131020 its reverse (201312033), we get a palindrome (3503443053).

The spelling of 3302131020 in words is "three billion, three hundred two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 269 327 436 538 545 654 807 1076 1090 1308 1345 1614 1635 1877 2180 2690 3228 3270 3754 4035 5380 5631 6540 7508 8070 9385 11262 16140 18770 22524 28155 29321 37540 56310 58642 87963 112620 117284 146605 175926 204593 293210 351852 409186 439815 504913 586420 613779 818372 879630 1009826 1022965 1227558 1514739 1759260 2019652 2045930 2455116 2524565 3029478 3068895 4091860 5049130 6058956 6137790 7573695 10098260 12275580 15147390 30294780 55035517 110071034 165106551 220142068 275177585 330213102 550355170 660426204 825532755 1100710340 1651065510 3302131020