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31003111022121 = 327580343847969
BaseRepresentation
bin1110000110010011110010…
…11010110101111000101001
311001202212110010001111000200
413003021321122311320221
513030423332410201441
6145534344345422413
76346620664400460
oct703117132657051
9131685403044020
1031003111022121
119973388a16a07
12358873b19aa09
13143b7720c1984
147927b6a599d7
1538b6de7147b6
hex1c32796b5e29

31003111022121 has 24 divisors (see below), whose sum is σ = 51179887374720. Its totient is φ = 17716012022016.

The previous prime is 31003111022119. The next prime is 31003111022159. The reversal of 31003111022121 is 12122011130013.

31003111022121 is a `hidden beast` number, since 3 + 100 + 311 + 10 + 221 + 21 = 666.

It is not a de Polignac number, because 31003111022121 - 21 = 31003111022119 is a prime.

It is a super-3 number, since 3×310031110221213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31003111022094 and 31003111022103.

It is not an unprimeable number, because it can be changed into a prime (31003111022161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36137625 + ... + 36985593.

It is an arithmetic number, because the mean of its divisors is an integer number (2132495307280).

Almost surely, 231003111022121 is an apocalyptic number.

It is an amenable number.

31003111022121 is a deficient number, since it is larger than the sum of its proper divisors (20176776352599).

31003111022121 is a wasteful number, since it uses less digits than its factorization.

31003111022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428325 (or 1428322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31003111022121 its reverse (12122011130013), we get a palindrome (43125122152134).

The spelling of 31003111022121 in words is "thirty-one trillion, three billion, one hundred eleven million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 580343 847969 1741029 2543907 4062401 5223087 5935783 7631721 12187203 17807349 36561609 53422047 492112873367 1476338620101 3444790113569 4429015860303 10334370340707 31003111022121