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33020130110331 = 37135913991465367
BaseRepresentation
bin1111000001000000110010…
…01000000010101101111011
311022220200201122022121000010
413200200121020002231323
513312000211302012311
6154121123252513003
76645424414640520
oct740403110025573
9138820648277003
1033020130110331
11a580838683651
12385363291b763
131556a285a0830
1482227b957147
153c3de18d9da6
hex1e0819202b7b

33020130110331 has 64 divisors (see below), whose sum is σ = 55144728576000. Its totient is φ = 17109754091136.

The previous prime is 33020130110327. The next prime is 33020130110389. The reversal of 33020130110331 is 13301103102033.

It is not a de Polignac number, because 33020130110331 - 22 = 33020130110327 is a prime.

It is a super-2 number, since 2×330201301103312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33020130110298 and 33020130110307.

It is not an unprimeable number, because it can be changed into a prime (33020130110311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21801010 + ... + 23266376.

It is an arithmetic number, because the mean of its divisors is an integer number (861636384000).

Almost surely, 233020130110331 is an apocalyptic number.

33020130110331 is a deficient number, since it is larger than the sum of its proper divisors (22124598465669).

33020130110331 is a wasteful number, since it uses less digits than its factorization.

33020130110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466848.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 33020130110331 its reverse (13301103102033), we get a palindrome (46321233212364).

The spelling of 33020130110331 in words is "thirty-three trillion, twenty billion, one hundred thirty million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 39 59 91 177 273 413 767 1239 1399 2301 4197 5369 9793 16107 18187 29379 54561 82541 127309 247623 381927 577787 1073033 1465367 1733361 3219099 4396101 7511231 10257569 19049771 22533693 30772707 57149313 86456653 133348397 259369959 400045191 605196571 1123936489 1815589713 2050048433 3371809467 6150145299 7867555423 14350339031 23602666269 26650629629 43051017093 79951888887 120952857547 186554407403 362858572641 559663222209 846670002829 1572387148111 2540010008487 4717161444333 11006710036777 33020130110331