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31213230312033 = 3271145040736381
BaseRepresentation
bin1110001100011011001011…
…00000010100101001100001
311002111221210200120100122100
413012031211200110221201
513042344143424441113
6150215054323201013
76401036642032440
oct706154540245141
9132457720510570
1031213230312033
119a44502869420
1236013bb816169
131455519a36c53
1479ca2aa72d57
15391ddb25bd73
hex1c6365814a61

31213230312033 has 24 divisors (see below), whose sum is σ = 56210839004736. Its totient is φ = 16214665096800.

The previous prime is 31213230311953. The next prime is 31213230312059. The reversal of 31213230312033 is 33021303231213.

31213230312033 is a `hidden beast` number, since 3 + 1 + 21 + 323 + 0 + 312 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 31213230312033 - 217 = 31213230180961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31213230311988 and 31213230312006.

It is not an unprimeable number, because it can be changed into a prime (31213230313033) 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 23 ways as a sum of consecutive naturals, for example, 22520367498 + ... + 22520368883.

It is an arithmetic number, because the mean of its divisors is an integer number (2342118291864).

Almost surely, 231213230312033 is an apocalyptic number.

31213230312033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31213230312033 is a deficient number, since it is larger than the sum of its proper divisors (24997608692703).

31213230312033 is a wasteful number, since it uses less digits than its factorization.

31213230312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45040736405 (or 45040736402 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31213230312033 its reverse (33021303231213), we get a palindrome (64234533543246).

The spelling of 31213230312033 in words is "thirty-one trillion, two hundred thirteen billion, two hundred thirty million, three hundred twelve thousand, thirty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 45040736381 135122209143 315285154667 405366627429 495448100191 945855464001 1486344300573 2837566392003 3468136701337 4459032901719 10404410104011 31213230312033