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11313213444 = 223213671911889
BaseRepresentation
bin10101000100101000…
…11111000000000100
31002012102210210022100
422202110133000010
5141132140312234
65110333232100
7550231504401
oct124224370004
932172723270
1011313213444
114886017785
122238932630
1310b3aa0850
147947232a8
1546330d399
hex2a251f004

11313213444 has 144 divisors (see below), whose sum is σ = 31437020160. Its totient is φ = 3409274880.

The previous prime is 11313213437. The next prime is 11313213487. The reversal of 11313213444 is 44431231311.

11313213444 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 213 + 444 = 666.

It is a super-2 number, since 2×113132134442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 5988052 + ... + 5989940.

It is an arithmetic number, because the mean of its divisors is an integer number (218312640).

Almost surely, 211313213444 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 11313213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718510080).

11313213444 is an abundant number, since it is smaller than the sum of its proper divisors (20123806716).

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

11313213444 is a wasteful number, since it uses less digits than its factorization.

11313213444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2165 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 11313213444 its reverse (44431231311), we get a palindrome (55744444755).

The spelling of 11313213444 in words is "eleven billion, three hundred thirteen million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 191 201 234 268 382 402 468 573 603 764 804 871 1146 1206 1719 1742 1889 2292 2412 2483 2613 3438 3484 3778 4966 5226 5667 6876 7449 7556 7839 9932 10452 11334 12797 14898 15678 17001 22347 22668 24557 25594 29796 31356 34002 38391 44694 49114 51188 68004 73671 76782 89388 98228 115173 126563 147342 153564 166361 221013 230346 253126 294684 332722 360799 379689 442026 460692 499083 506252 665444 721598 759378 884052 998166 1082397 1139067 1443196 1497249 1518756 1645319 1996332 2164794 2278134 2994498 3247191 3290638 4329588 4556268 4690387 4935957 5988996 6494382 6581276 9380774 9871914 12988764 14071161 14807871 18761548 19743828 24173533 28142322 29615742 42213483 48347066 56284644 59231484 72520599 84426966 96694132 145041198 168853932 217561797 290082396 314255929 435123594 628511858 870247188 942767787 1257023716 1885535574 2828303361 3771071148 5656606722 11313213444