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1311220022022 = 232296779413943
BaseRepresentation
bin10011000101001010110…
…011011011101100000110
311122100111011210121221100
4103011022303123230012
5132440334311201042
62442211031400530
7163506153202011
oct23051263335406
94570434717840
101311220022022
114660a3578869
12192158b23146
1396855799521
144766b770378
1524193e7624c
hex1314acdbb06

1311220022022 has 96 divisors (see below), whose sum is σ = 2947157628480. Its totient is φ = 420823952640.

The previous prime is 1311220022009. The next prime is 1311220022039. The reversal of 1311220022022 is 2202200221131.

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 = 1311220021986 and 1311220022004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332541783 + ... + 332545725.

It is an arithmetic number, because the mean of its divisors is an integer number (30699558630).

Almost surely, 21311220022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311220022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473578814240).

1311220022022 is an abundant number, since it is smaller than the sum of its proper divisors (1635937606458).

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

1311220022022 is a wasteful number, since it uses less digits than its factorization.

1311220022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1311220022022 its reverse (2202200221131), we get a palindrome (3513420243153).

The spelling of 1311220022022 in words is "one trillion, three hundred eleven billion, two hundred twenty million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 677 941 1354 1882 2031 2823 3943 4062 5646 6093 7886 8469 11829 12186 16938 19633 23658 27289 35487 39266 54578 58899 70974 81867 114347 117798 163734 176697 228694 245601 343041 353394 491202 637057 686082 1029123 1274114 1911171 2058246 2669411 3710363 3822342 5338822 5733513 7420726 8008233 11131089 11467026 16016466 18474653 22262178 24024699 33393267 36949306 48049398 55423959 66786534 77412919 107600527 110847918 154825838 166271877 215201054 232238757 322801581 332543754 464477514 645603162 696716271 968404743 1393432542 1936809486 2511915751 5023831502 7535747253 15071494506 22607241759 45214483518 72845556779 145691113558 218536670337 437073340674 655610011011 1311220022022