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3213010020 = 22351113935023
BaseRepresentation
bin1011111110000010…
…1010010001100100
322021220211211011010
42333200222101210
523040012310040
61250453542220
7142423064103
oct27740522144
98256754133
103213010020
1113a9729a90
12758044970
133c287547c
14226a1403a
1513c11ce80
hexbf82a464

3213010020 has 96 divisors (see below), whose sum is σ = 9885173760. Its totient is φ = 773285760.

The previous prime is 3213010019. The next prime is 3213010039. The reversal of 3213010020 is 200103123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3213009978 and 3213010005.

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, 74229 + ... + 109251.

It is an arithmetic number, because the mean of its divisors is an integer number (102970560).

Almost surely, 23213010020 is an apocalyptic number.

3213010020 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 3213010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942586880).

3213010020 is an abundant number, since it is smaller than the sum of its proper divisors (6672163740).

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

3213010020 is a wasteful number, since it uses less digits than its factorization.

3213010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35185 (or 35183 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3213010020 is about 56683.4192687774. The cubic root of 3213010020 is about 1475.6069542676.

Adding to 3213010020 its reverse (200103123), we get a palindrome (3413113143).

The spelling of 3213010020 in words is "three billion, two hundred thirteen million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 139 165 220 278 330 417 556 660 695 834 1390 1529 1668 2085 2780 3058 4170 4587 6116 7645 8340 9174 15290 18348 22935 30580 35023 45870 70046 91740 105069 140092 175115 210138 350230 385253 420276 525345 700460 770506 1050690 1155759 1541012 1926265 2101380 2311518 3852530 4623036 4868197 5778795 7705060 9736394 11557590 14604591 19472788 23115180 24340985 29209182 48681970 53550167 58418364 73022955 97363940 107100334 146045910 160650501 214200668 267750835 292091820 321301002 535501670 642602004 803252505 1071003340 1606505010 3213010020