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11334021244 = 227213172331123
BaseRepresentation
bin10101000111000111…
…10111000001111100
31002020212221221020121
422203203313001330
5141203002134434
65112355224324
7550603406500
oct124343670174
932225857217
1011334021244
114896839a07
1222438a80a4
1310b81a7860
147973bc300
1546506d7b4
hex2a38f707c

11334021244 has 144 divisors (see below), whose sum is σ = 26445732768. Its totient is φ = 4198182912.

The previous prime is 11334021239. The next prime is 11334021271. The reversal of 11334021244 is 44212043311.

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, 10092067 + ... + 10093189.

It is an arithmetic number, because the mean of its divisors is an integer number (183650922).

Almost surely, 211334021244 is an apocalyptic number.

11334021244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334021244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222866384).

11334021244 is an abundant number, since it is smaller than the sum of its proper divisors (15111711524).

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

11334021244 is a wasteful number, since it uses less digits than its factorization.

11334021244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11334021244 its reverse (44212043311), we get a palindrome (55546064555).

The spelling of 11334021244 in words is "eleven billion, three hundred thirty-four million, twenty-one thousand, two hundred forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 233 238 364 442 466 476 637 833 884 932 1123 1274 1547 1631 1666 2246 2548 3029 3094 3262 3332 3961 4492 6058 6188 6524 7861 7922 10829 11417 12116 14599 15722 15844 19091 21203 21658 22834 27727 29198 31444 38182 42406 43316 45668 51493 55027 55454 58396 76364 84812 102193 102986 110054 110908 133637 148421 194089 204386 205972 220108 248183 261659 267274 296842 360451 388178 408772 496366 523318 534548 593684 715351 720902 776356 935459 992732 1046636 1430702 1441804 1737281 1831613 1870918 2523157 2861404 3401567 3474562 3663226 3741836 4448203 5046314 6803134 6949124 7326452 8896406 10092628 12160967 12821291 13606268 17792812 23810969 24321934 25642582 31137421 47621938 48643868 51285164 57826639 62274842 95243876 115653278 124549684 166676783 217961947 231306556 333353566 404786473 435923894 666707132 809572946 871847788 1619145892 2833505311 5667010622 11334021244