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33320012221413 = 343773691220403
BaseRepresentation
bin1111001001101111010110…
…11111100000101111100101
311100222100202221102020120000
413210313223133200233211
513331403341112041123
6154511000255131513
710006201651553541
oct744675337405745
9140870687366500
1033320012221413
11a686a35280195
1238a1784813b99
1315790a9b64388
148329a916ca21
153cbae3a5db43
hex1e4deb7e0be5

33320012221413 has 80 divisors (see below), whose sum is σ = 51895088051136. Its totient is φ = 21285966723840.

The previous prime is 33320012221411. The next prime is 33320012221439. The reversal of 33320012221413 is 31412221002333.

33320012221413 is a `hidden beast` number, since 3 + 3 + 3 + 20 + 0 + 1 + 2 + 221 + 413 = 666.

It is not a de Polignac number, because 33320012221413 - 21 = 33320012221411 is a prime.

It is a super-2 number, since 2×333200122214132 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33320012221411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151067470 + ... + 151287872.

Almost surely, 233320012221413 is an apocalyptic number.

It is an amenable number.

33320012221413 is a deficient number, since it is larger than the sum of its proper divisors (18575075829723).

33320012221413 is a wasteful number, since it uses less digits than its factorization.

33320012221413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221216 (or 221207 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33320012221413 its reverse (31412221002333), we get a palindrome (64732233223746).

The spelling of 33320012221413 in words is "thirty-three trillion, three hundred twenty billion, twelve million, two hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 3 9 27 37 73 81 111 219 333 657 691 999 1971 2073 2701 2997 5913 6219 8103 18657 24309 25567 50443 55971 72927 76701 151329 218781 220403 230103 453987 661209 690309 1361961 1866391 1983627 2070927 4085883 5599173 5950881 8154911 16089419 16797519 17852643 24464733 48268257 50392557 73394199 144804771 151177671 152298473 220182597 434414313 456895419 595308503 660547791 1303242939 1370686257 1785925509 4112058771 5357776527 5635043501 11117788529 12336176313 16073329581 16905130503 33353365587 48219988743 50715391509 100060096761 152146174527 300180290283 411358175573 456438523581 900540870849 1234074526719 3702223580157 11106670740471 33320012221413