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3331012020 = 2235756314087
BaseRepresentation
bin1100011010001011…
…0011010110110100
322121010212221110120
43012202303112310
523310214341040
61310311051540
7145355064210
oct30642632664
98533787416
103331012020
11145a2a66a6
1278b670bb0
1341114cb3b
1423856d940
1514767b7d0
hexc68b35b4

3331012020 has 96 divisors (see below), whose sum is σ = 10678929408. Its totient is φ = 759967872.

The previous prime is 3331012001. The next prime is 3331012033. The reversal of 3331012020 is 202101333.

3331012020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33310120202 = 22191282154768960800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229417 + ... + 243503.

It is an arithmetic number, because the mean of its divisors is an integer number (111238848).

Almost surely, 23331012020 is an apocalyptic number.

3331012020 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 3331012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339464704).

3331012020 is an abundant number, since it is smaller than the sum of its proper divisors (7347917388).

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

3331012020 is a wasteful number, since it uses less digits than its factorization.

3331012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14669 (or 14667 counting only the distinct ones).

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

The square root of 3331012020 is about 57714.9202546447. The cubic root of 3331012020 is about 1493.4547435081.

Adding to 3331012020 its reverse (202101333), we get a palindrome (3533113353).

The spelling of 3331012020 in words is "three billion, three hundred thirty-one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 563 1126 1689 2252 2815 3378 3941 5630 6756 7882 8445 11260 11823 14087 15764 16890 19705 23646 28174 33780 39410 42261 47292 56348 59115 70435 78820 84522 98609 118230 140870 169044 197218 211305 236460 281740 295827 394436 422610 493045 591654 845220 986090 1183308 1479135 1972180 2958270 5916540 7930981 15861962 23792943 31723924 39654905 47585886 55516867 79309810 95171772 111033734 118964715 158619620 166550601 222067468 237929430 277584335 333101202 475858860 555168670 666202404 832753005 1110337340 1665506010 3331012020