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33011223311131 = 13192083237127061
BaseRepresentation
bin1111000000110000001100…
…01111010011001100011011
311022212211201220121022110021
413200120012033103030123
513311323441131424011
6154113051401131311
76644660613253102
oct740300617231433
9138784656538407
1033011223311131
11a577a87a5a57a
123851967a89b37
131555c39223350
14821a74a83039
153c3a6e9bd471
hex1e06063d331b

33011223311131 has 32 divisors (see below), whose sum is σ = 37456769665280. Its totient is φ = 28841019926400.

The previous prime is 33011223311117. The next prime is 33011223311161. The reversal of 33011223311131 is 13111332211033.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33011223311131 is a prime.

It is a super-2 number, since 2×330112233111312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33011223311096 and 33011223311105.

It is not an unprimeable number, because it can be changed into a prime (33011223311161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219868341 + ... + 1219895401.

It is an arithmetic number, because the mean of its divisors is an integer number (1170524052040).

Almost surely, 233011223311131 is an apocalyptic number.

33011223311131 is a deficient number, since it is larger than the sum of its proper divisors (4445546354149).

33011223311131 is a wasteful number, since it uses less digits than its factorization.

33011223311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31547.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 33011223311131 its reverse (13111332211033), we get a palindrome (46122555522164).

The spelling of 33011223311131 in words is "thirty-three trillion, eleven billion, two hundred twenty-three million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 13 19 247 2083 2371 27061 27079 30823 39577 45049 351793 514159 514501 585637 4938793 6684067 56368063 64161631 64204309 93837067 732784819 834101203 1070993197 1219070989 1219881871 13922911561 15847922857 133648677373 1737432805849 2539324870087 33011223311131