Search a number
-
+
3321332130200 = 235279532489381
BaseRepresentation
bin110000010101001110110…
…100100110000110011000
3102202111221100100210112112
4300111032310212012120
5413404042011131300
611021444322131452
7461646464204030
oct60251664460630
912674840323475
103321332130200
111070629445147
124578434b0b88
131b127b010b56
14b6a792068c0
155b5deaa8e35
hex3054ed26198

3321332130200 has 96 divisors (see below), whose sum is σ = 8834517992160. Its totient is φ = 1137547084800.

The previous prime is 3321332130157. The next prime is 3321332130209. The reversal of 3321332130200 is 20312331233.

It is a super-2 number, since 2×33213321302002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321332130209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89510 + ... + 2578890.

It is an arithmetic number, because the mean of its divisors is an integer number (92026229085).

Almost surely, 23321332130200 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 3321332130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417258996080).

3321332130200 is an abundant number, since it is smaller than the sum of its proper divisors (5513185861960).

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

3321332130200 is a wasteful number, since it uses less digits than its factorization.

3321332130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490357 (or 2490348 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 3321332130200 its reverse (20312331233), we get a palindrome (3341644461433).

The spelling of 3321332130200 in words is "three trillion, three hundred twenty-one billion, three hundred thirty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 953 1400 1906 3812 4765 6671 7624 9530 13342 19060 23825 26684 33355 38120 47650 53368 66710 95300 133420 166775 190600 266840 333550 667100 1334200 2489381 4978762 9957524 12446905 17425667 19915048 24893810 34851334 49787620 62234525 69702668 87128335 99575240 124469050 139405336 174256670 248938100 348513340 435641675 497876200 697026680 871283350 1742566700 2372380093 3485133400 4744760186 9489520372 11861900465 16606660651 18979040744 23723800930 33213321302 47447601860 59309502325 66426642604 83033303255 94895203720 118619004650 132853285208 166066606510 237238009300 332133213020 415166516275 474476018600 664266426040 830333032550 1660666065100 3321332130200