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3331355020 = 2257172137601
BaseRepresentation
bin1100011010010000…
…0111000110001100
322121011112100222021
43012210013012030
523310311330040
61310322255524
7145361023210
oct30644070614
98534470867
103331355020
11145a510374
1278b7b75a4
1341123ccb6
1423861c940
151476e824a
hexc690718c

3331355020 has 144 divisors (see below), whose sum is σ = 8569455552. Its totient is φ = 1065369600.

The previous prime is 3331354991. The next prime is 3331355023. The reversal of 3331355020 is 205531333.

It is a happy number.

It is a super-2 number, since 2×33313550202 = 22195852538558400800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331355023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5542720 + ... + 5543320.

It is an arithmetic number, because the mean of its divisors is an integer number (59510108).

Almost surely, 23331355020 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 3331355020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284727776).

3331355020 is an abundant number, since it is smaller than the sum of its proper divisors (5238100532).

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

3331355020 is a wasteful number, since it uses less digits than its factorization.

3331355020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 3331355020 is about 57717.8916801368. The cubic root of 3331355020 is about 1493.5060029444.

Adding to 3331355020 its reverse (205531333), we get a palindrome (3536886353).

The spelling of 3331355020 in words is "three billion, three hundred thirty-one million, three hundred fifty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 137 140 170 238 274 289 340 476 548 578 595 601 685 959 1156 1190 1202 1370 1445 1918 2023 2329 2380 2404 2740 2890 3005 3836 4046 4207 4658 4795 5780 6010 8092 8414 9316 9590 10115 10217 11645 12020 16303 16828 19180 20230 20434 21035 23290 32606 39593 40460 40868 42070 46580 51085 65212 71519 79186 81515 82337 84140 102170 143038 158372 163030 164674 173689 197965 204340 277151 286076 326060 329348 347378 357595 395930 411685 554302 576359 694756 715190 791860 823370 868445 1108604 1152718 1215823 1385755 1399729 1430380 1646740 1736890 2305436 2431646 2771510 2799458 2881795 3473780 4863292 5543020 5598916 5763590 6079115 6998645 9798103 11527180 12158230 13997290 19596206 23795393 24316460 27994580 39192412 47590786 48990515 95181572 97981030 118976965 166567751 195962060 237953930 333135502 475907860 666271004 832838755 1665677510 3331355020