Search a number
-
+
31033111001031 = 3223241766199371
BaseRepresentation
bin1110000111001011101011…
…00011101011011111000111
311001212201212212022022110200
413003211311203223133013
513031421302404013111
6150000225301221543
76352032264121026
oct703456543533707
9131781785268420
1031033111001031
119985083146107
1235925121018b3
13144154347a299
1479402109a8bd
1538c398337256
hex1c39758eb7c7

31033111001031 has 48 divisors (see below), whose sum is σ = 46805960298240. Its totient is φ = 19775943601920.

The previous prime is 31033111001021. The next prime is 31033111001099. The reversal of 31033111001031 is 13010011133013.

31033111001031 is a `hidden beast` number, since 310 + 3 + 311 + 1 + 0 + 0 + 10 + 31 = 666.

It is not a de Polignac number, because 31033111001031 - 25 = 31033111000999 is a prime.

It is a super-2 number, since 2×310331110010312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31033111000995 and 31033111001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31033111001021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3311606776 + ... + 3311616146.

It is an arithmetic number, because the mean of its divisors is an integer number (975124172880).

Almost surely, 231033111001031 is an apocalyptic number.

31033111001031 is a deficient number, since it is larger than the sum of its proper divisors (15772849297209).

31033111001031 is a wasteful number, since it uses less digits than its factorization.

31033111001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18436 (or 18433 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31033111001031 its reverse (13010011133013), we get a palindrome (44043122134044).

The spelling of 31033111001031 in words is "thirty-one trillion, thirty-three billion, one hundred eleven million, one thousand, thirty-one".

Divisors: 1 3 9 23 69 207 2417 6619 7251 9371 19857 21753 28113 55591 59571 84339 152237 166773 215533 456711 500319 646599 1370133 1939797 15998123 22649707 47994369 62026649 67949121 143983107 186079947 203847363 367956829 520943261 558239841 1103870487 1426612927 1562829783 3311611461 4279838781 4688489349 12839516343 149918410633 449755231899 1349265695697 3448123444559 10344370333677 31033111001031