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3113000311032 = 233331479970573
BaseRepresentation
bin101101010011001101010…
…001110001100011111000
3102000121012100021211211000
4231103031101301203320
5402000411034423112
610342032000205000
7440623023024033
oct55231521614370
912017170254730
103113000311032
11aa0241579987
124233a1609760
131977297bca81
14aa95476401a
1555e99e427dc
hex2d4cd4718f8

3113000311032 has 128 divisors (see below), whose sum is σ = 8944809984000. Its totient is φ = 1002096178560.

The previous prime is 3113000310983. The next prime is 3113000311033. The reversal of 3113000311032 is 2301130003113.

It is a happy number.

3113000311032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3113000310996 and 3113000311014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113000311033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2722098 + ... + 3692670.

It is an arithmetic number, because the mean of its divisors is an integer number (69881328000).

Almost surely, 23113000311032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113000311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472404992000).

3113000311032 is an abundant number, since it is smaller than the sum of its proper divisors (5831809672968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3113000311032 is a wasteful number, since it uses less digits than its factorization.

3113000311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971098 (or 971088 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3113000311032 its reverse (2301130003113), we get a palindrome (5414130314145).

The spelling of 3113000311032 in words is "three trillion, one hundred thirteen billion, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 479 558 744 837 958 1116 1437 1674 1916 2232 2874 3348 3832 4311 5748 6696 8622 11496 12933 14849 17244 25866 29698 34488 44547 51732 59396 89094 103464 118792 133641 178188 267282 356376 400923 534564 801846 970573 1069128 1603692 1941146 2911719 3207384 3882292 5823438 7764584 8735157 11646876 17470314 23293752 26205471 30087763 34940628 52410942 60175526 69881256 90263289 104821884 120351052 180526578 209643768 240702104 270789867 361053156 464904467 541579734 722106312 812369601 929808934 1083159468 1394713401 1624739202 1859617868 2166318936 2789426802 3249478404 3719235736 4184140203 5578853604 6498956808 8368280406 11157707208 12552420609 14412038477 16736560812 25104841218 28824076954 33473121624 43236115431 50209682436 57648153908 86472230862 100419364872 115296307816 129708346293 172944461724 259416692586 345888923448 389125038879 518833385172 778250077758 1037666770344 1556500155516 3113000311032