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31003331020123 = 7211198233678461
BaseRepresentation
bin1110000110010100001101…
…00010000100010101011011
311001202220000110000112112211
413003022012202010111123
513030424310220120443
6145534422245015551
76346626305345200
oct703120642042533
9131686013015484
1031003331020123
119973491118740
1235887a09b45b7
13143b7a885b4c7
147927d7d65ca7
1538b703bbe19d
hex1c328688455b

31003331020123 has 48 divisors (see below), whose sum is σ = 41464800771840. Its totient is φ = 22859127547200.

The previous prime is 31003331020121. The next prime is 31003331020157. The reversal of 31003331020123 is 32102013330013.

It is not a de Polignac number, because 31003331020123 - 21 = 31003331020121 is a prime.

It is a super-2 number, since 2×310033310201232 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31003331020094 and 31003331020103.

It is not an unprimeable number, because it can be changed into a prime (31003331020121) 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 47 ways as a sum of consecutive naturals, for example, 6589113 + ... + 10267573.

It is an arithmetic number, because the mean of its divisors is an integer number (863850016080).

Almost surely, 231003331020123 is an apocalyptic number.

31003331020123 is a deficient number, since it is larger than the sum of its proper divisors (10461469751717).

31003331020123 is a wasteful number, since it uses less digits than its factorization.

31003331020123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679328 (or 3679321 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31003331020123 its reverse (32102013330013), we get a palindrome (63105344350136).

The spelling of 31003331020123 in words is "thirty-one trillion, three billion, three hundred thirty-one million, twenty thousand, one hundred twenty-three".

Divisors: 1 7 11 19 49 77 133 209 539 823 931 1463 5761 9053 10241 15637 40327 63371 109459 172007 443597 766213 1204049 3678461 8428343 25749227 40463071 69890759 180244589 283241497 489235313 768798349 1982690479 3027373403 3424647191 5381588443 21191613821 33301107433 37671119101 57520094657 148341296747 233107752031 402640662599 632721041227 1631754264217 2818484638193 4429047288589 31003331020123