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11234312222144 = 2611103701922073
BaseRepresentation
bin1010001101111011000100…
…1100000111010111000000
31110202222201112102211220012
42203132301030013113000
52433030332412102034
635520545523404052
72236436505205364
oct243366114072700
943688645384805
1011234312222144
11364149940a4a0
121315350523628
1363651131694b
142aba5a68b2a4
1514736c102cce
hexa37b13075c0

11234312222144 has 112 divisors (see below), whose sum is σ = 24560457742080. Its totient is φ = 5055978301440.

The previous prime is 11234312222143. The next prime is 11234312222207. The reversal of 11234312222144 is 44122221343211.

It is a super-2 number, since 2×112343122221442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11234312222144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11234312222143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508950692 + ... + 508972764.

Almost surely, 211234312222144 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 11234312222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12280228871040).

11234312222144 is an abundant number, since it is smaller than the sum of its proper divisors (13326145519936).

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

11234312222144 is a wasteful number, since it uses less digits than its factorization.

11234312222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29218 (or 29208 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 11234312222144 its reverse (44122221343211), we get a palindrome (55356533565355).

The spelling of 11234312222144 in words is "eleven trillion, two hundred thirty-four billion, three hundred twelve million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 176 206 352 412 704 824 1133 1648 2266 3296 4532 6592 7019 9064 14038 18128 22073 28076 36256 44146 56152 72512 77209 88292 112304 154418 176584 224608 242803 308836 353168 449216 485606 617672 706336 722957 971212 1235344 1412672 1445914 1942424 2273519 2470688 2891828 3884848 4547038 4941376 5783656 7769696 7952527 9094076 11567312 15539392 15905054 18188152 23134624 25008709 31810108 36376304 46269248 50017418 63620216 72752608 100034836 127240432 145505216 154930387 200069672 254480864 309860774 400139344 508961728 619721548 800278688 1239443096 1600557376 1704234257 2478886192 3408468514 4957772384 6816937028 9915544768 13633874056 15957829861 27267748112 31915659722 54535496224 63831319444 109070992448 127662638888 175536128471 255325277776 351072256942 510650555552 702144513884 1021301111104 1404289027768 2808578055536 5617156111072 11234312222144