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3221013112031 = 11134710115730223
BaseRepresentation
bin101110110111110011010…
…101111010010011011111
3102101220222221102122122002
4232313303111322103133
5410233113324041111
610503414001312515
7451465464466301
oct56676325722337
912356887378562
103221013112031
111032029a25a70
1244030693573b
131a49813a5080
14b1c7da61971
1558bbc85563b
hex2edf357a4df

3221013112031 has 64 divisors (see below), whose sum is σ = 3927893630976. Its totient is φ = 2602476864000.

The previous prime is 3221013112007. The next prime is 3221013112069. The reversal of 3221013112031 is 1302113101223.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-3221013112031 is a prime.

It is a super-2 number, since 2×32210131120312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3221013111994 and 3221013112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221013112931) 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, 106559786 + ... + 106590008.

It is an arithmetic number, because the mean of its divisors is an integer number (61373337984).

Almost surely, 23221013112031 is an apocalyptic number.

3221013112031 is a deficient number, since it is larger than the sum of its proper divisors (706880518945).

3221013112031 is a wasteful number, since it uses less digits than its factorization.

3221013112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30552.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3221013112031 its reverse (1302113101223), we get a palindrome (4523126213254).

The spelling of 3221013112031 in words is "three trillion, two hundred twenty-one billion, thirteen million, one hundred twelve thousand, thirty-one".

Divisors: 1 11 13 47 101 143 157 517 611 1111 1313 1727 2041 4747 6721 7379 14443 15857 22451 30223 52217 61711 81169 95927 174427 206141 332453 392899 678821 745279 1055197 1420481 2267551 3052523 4321889 4745011 8198069 9688627 15625291 18466253 33577753 39682799 52195121 61685143 106574897 143468581 203128783 223015517 436510789 479246111 678536573 1578154391 1865091553 2453170687 2899201721 5271707221 6230199443 20516007083 22524567217 31891218931 68532193873 247770239387 292819373821 3221013112031