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3321313020 = 22325157211557
BaseRepresentation
bin1100010111110111…
…0011011011111100
322120110122011221100
43011331303123330
523300224004040
61305323133100
7145206460224
oct30575633374
98513564840
103321313020
1114548816a3
12788374190
1340c13529c
14237167084
151468b2b30
hexc5f736fc

3321313020 has 144 divisors (see below), whose sum is σ = 10205159328. Its totient is φ = 874298880.

The previous prime is 3321312997. The next prime is 3321313027. The reversal of 3321313020 is 203131233.

3321313020 is a `hidden beast` number, since 332 + 1 + 31 + 302 + 0 = 666.

It is a super-2 number, since 2×33213130202 = 22062240353643040800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3321312984 and 3321313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321313027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5962582 + ... + 5963138.

It is an arithmetic number, because the mean of its divisors is an integer number (70869162).

Almost surely, 23321313020 is an apocalyptic number.

3321313020 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 3321313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102579664).

3321313020 is an abundant number, since it is smaller than the sum of its proper divisors (6883846308).

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

3321313020 is a wasteful number, since it uses less digits than its factorization.

3321313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3321313020 is about 57630.8339346222. The cubic root of 3321313020 is about 1492.0038231807.

Adding to 3321313020 its reverse (203131233), we get a palindrome (3524444253).

The spelling of 3321313020 in words is "three billion, three hundred twenty-one million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 211 314 422 471 557 628 633 785 844 942 1055 1114 1266 1413 1570 1671 1884 1899 2110 2228 2355 2532 2785 2826 3140 3165 3342 3798 4220 4710 5013 5570 5652 6330 6684 7065 7596 8355 9420 9495 10026 11140 12660 14130 16710 18990 20052 25065 28260 33127 33420 37980 50130 66254 87449 99381 100260 117527 132508 165635 174898 198762 235054 262347 298143 331270 349796 352581 397524 437245 470108 496905 524694 587635 596286 662540 705162 787041 874490 993810 1049388 1057743 1175270 1192572 1311735 1410324 1490715 1574082 1748980 1762905 1987620 2115486 2350540 2623470 2981430 3148164 3525810 3935205 4230972 5246940 5288715 5962860 7051620 7870410 10577430 15740820 18451739 21154860 36903478 55355217 73806956 92258695 110710434 166065651 184517390 221420868 276776085 332131302 369034780 553552170 664262604 830328255 1107104340 1660656510 3321313020