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133133233311 = 3313379296961
BaseRepresentation
bin111101111111101011…
…0111110110010011111
3110201122021122222201000
41323333112332302133
54140124101431221
6141054403121343
712422110545231
oct1737726766237
9421567588630
10133133233311
115150926a751
1221976073253
13c729067440
14662d674251
1536e2e73e26
hex1eff5bec9f

133133233311 has 16 divisors (see below), whose sum is σ = 212406298720. Its totient is φ = 81928143360.

The previous prime is 133133233309. The next prime is 133133233313. The reversal of 133133233311 is 113332331331.

133133233311 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 323 + 331 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (133133233309) and next prime (133133233313).

It is not a de Polignac number, because 133133233311 - 21 = 133133233309 is a prime.

It is a super-3 number, since 3×1331332333113 (a number of 34 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133233313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189648130 + ... + 189648831.

It is an arithmetic number, because the mean of its divisors is an integer number (13275393670).

Almost surely, 2133133233311 is an apocalyptic number.

133133233311 is a deficient number, since it is larger than the sum of its proper divisors (79273065409).

133133233311 is a wasteful number, since it uses less digits than its factorization.

133133233311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379296983 (or 379296977 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

Adding to 133133233311 its reverse (113332331331), we get a palindrome (246465564642).

The spelling of 133133233311 in words is "one hundred thirty-three billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 117 351 379296961 1137890883 3413672649 4930860493 10241017947 14792581479 44377744437 133133233311