Search a number
-
+
33301300022120 = 23513265724102733
BaseRepresentation
bin1111001001001100100000…
…01010001000101101101000
311100220120110212010000202202
413210212100022020231220
513331102030301201440
6154454223411515332
710004640154520624
oct744462012105550
9140816425100682
1033301300022120
11a67a002776979
12389a021bb8b48
1315773b7212ac0
14831b11d10184
153cb39adc3615
hex1e4990288b68

33301300022120 has 64 divisors (see below), whose sum is σ = 80721984384720. Its totient is φ = 12291236388864.

The previous prime is 33301300022119. The next prime is 33301300022141. The reversal of 33301300022120 is 2122000310333.

It can be written as a sum of positive squares in 8 ways, for example, as 7447146270916 + 25854153751204 = 2728946^2 + 5084698^2 .

It is a super-2 number, since 2×333013000221202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33301300022092 and 33301300022101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10669727 + ... + 13433006.

Almost surely, 233301300022120 is an apocalyptic number.

It is an amenable number.

33301300022120 is an abundant number, since it is smaller than the sum of its proper divisors (47420684362600).

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

33301300022120 is a wasteful number, since it uses less digits than its factorization.

33301300022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24105414 (or 24105410 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33301300022120 its reverse (2122000310333), we get a palindrome (35423300332453).

The spelling of 33301300022120 in words is "thirty-three trillion, three hundred one billion, three hundred million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2657 5314 10628 13285 21256 26570 34541 53140 69082 106280 138164 172705 276328 345410 690820 1381640 24102733 48205466 96410932 120513665 192821864 241027330 313335529 482054660 626671058 964109320 1253342116 1566677645 2506684232 3133355290 6266710580 12533421160 64040961581 128081923162 256163846324 320204807905 512327692648 640409615810 832532500553 1280819231620 1665065001106 2561638463240 3330130002212 4162662502765 6660260004424 8325325005530 16650650011060 33301300022120