Search a number
-
+
31233013111101 = 32331109311430741
BaseRepresentation
bin1110001101000000000001…
…01001101101100100111101
311002120211212101101200020010
413012200000221231210331
513043210202324023401
6150232125333213433
76402340116041454
oct706400051554475
9132524771350203
1031233013111101
119a5193472713a
123605200a91279
131457350414209
1479d986179b9b
15392697dc1ed6
hex1c6800a6d93d

31233013111101 has 64 divisors (see below), whose sum is σ = 45413577031680. Its totient is φ = 19035951264000.

The previous prime is 31233013111073. The next prime is 31233013111109. The reversal of 31233013111101 is 10111131033213.

It is not a de Polignac number, because 31233013111101 - 26 = 31233013111037 is a prime.

It is a super-2 number, since 2×312330131111012 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31233013111109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72294591 + ... + 72725331.

It is an arithmetic number, because the mean of its divisors is an integer number (709587141120).

Almost surely, 231233013111101 is an apocalyptic number.

31233013111101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31233013111101 is a deficient number, since it is larger than the sum of its proper divisors (14180563920579).

31233013111101 is a wasteful number, since it uses less digits than its factorization.

31233013111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431218.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 31233013111101 its reverse (10111131033213), we get a palindrome (41344144144314).

The spelling of 31233013111101 in words is "thirty-one trillion, two hundred thirty-three billion, thirteen million, one hundred eleven thousand, one hundred one".

Divisors: 1 3 23 31 69 93 109 311 327 713 933 2139 2507 3379 7153 7521 9641 10137 21459 28923 33899 77717 101697 221743 233151 430741 665229 779677 1050869 1292223 2339031 3152607 9907043 13352971 24169987 29721129 40058913 46950769 72509961 133960451 140852307 307118333 401881353 921354999 1079867687 1455473839 3081090373 3239603061 4152773981 4366421517 9243271119 12458321943 14601689159 33475898297 43805067477 95513801563 100427694891 286541404689 335838850657 452652363929 1007516551971 1357957091787 10411004370367 31233013111101