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3321221130 = 23451371732
BaseRepresentation
bin1100010111110101…
…1101000000001010
322120110110111220000
43011331131000022
523300213034010
61305321143430
7145205625303
oct30575350012
98513414800
103321221130
111454819657
1278832ab76
1340c102506
142371417aa
151468957c0
hexc5f5d00a

3321221130 has 120 divisors (see below), whose sum is σ = 9047878092. Its totient is φ = 874112256.

The previous prime is 3321221119. The next prime is 3321221131. The reversal of 3321221130 is 311221233.

It can be written as a sum of positive squares in 6 ways, for example, as 2967743529 + 353477601 = 54477^2 + 18801^2 .

It is a super-2 number, since 2×33212211302 = 22061019588716953800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3321221131) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19197724 + ... + 19197896.

Almost surely, 23321221130 is an apocalyptic number.

3321221130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523939046).

3321221130 is an abundant number, since it is smaller than the sum of its proper divisors (5726656962).

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

3321221130 is a wasteful number, since it uses less digits than its factorization.

3321221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3321221130 is about 57630.0366996239. The cubic root of 3321221130 is about 1491.9900634121.

Adding to 3321221130 its reverse (311221233), we get a palindrome (3632442363).

The spelling of 3321221130 in words is "three billion, three hundred twenty-one million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 137 162 173 270 274 346 405 411 519 685 810 822 865 1038 1233 1370 1557 1730 2055 2466 2595 3114 3699 4110 4671 5190 6165 7398 7785 9342 11097 12330 14013 15570 18495 22194 23355 23701 28026 29929 36990 46710 47402 55485 59858 70065 71103 89787 110970 118505 140130 142206 149645 179574 213309 237010 269361 299290 355515 426618 448935 538722 639927 711030 808083 897870 1066545 1279854 1346805 1616166 1919781 2133090 2424249 2693610 3199635 3839562 4040415 4100273 4848498 6399270 8080830 8200546 9598905 12121245 12300819 19197810 20501365 24242490 24601638 36902457 41002730 61504095 73804914 110707371 123008190 184512285 221414742 332122113 369024570 553536855 664244226 1107073710 1660610565 3321221130