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11330123311184 = 24192327121612767
BaseRepresentation
bin1010010011011111111111…
…1110011010100001010000
31111010011000202220110120112
42210313333332122201100
52441113043031424214
640032553051500452
72246401006056446
oct244677776324120
944104022813515
1011330123311184
113679095262807
12132ba2b457728
13642570030b42
142b2549260b96
15149ac86eda3e
hexa4dfff9a850

11330123311184 has 160 divisors (see below), whose sum is σ = 24221085941760. Its totient is φ = 5110399641600.

The previous prime is 11330123311183. The next prime is 11330123311189. The reversal of 11330123311184 is 48111332103311.

It is a self number, because there is not a number n which added to its sum of digits gives 11330123311184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330123311181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4094730569 + ... + 4094733335.

It is an arithmetic number, because the mean of its divisors is an integer number (151381787136).

Almost surely, 211330123311184 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 11330123311184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110542970880).

11330123311184 is an abundant number, since it is smaller than the sum of its proper divisors (12890962630576).

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

11330123311184 is a wasteful number, since it uses less digits than its factorization.

11330123311184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

Adding to 11330123311184 its reverse (48111332103311), we get a palindrome (59441455414495).

The spelling of 11330123311184 in words is "eleven trillion, three hundred thirty billion, one hundred twenty-three million, three hundred eleven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 271 304 368 437 542 874 1084 1748 2161 2168 2767 3496 4322 4336 5149 5534 6233 6992 8644 10298 11068 12466 17288 20596 22136 24932 34576 41059 41192 44272 49703 49864 52573 63641 82118 82384 99406 99728 105146 118427 127282 164236 198812 210292 236854 254564 328472 397624 420584 473708 509128 585631 656944 749857 795248 841168 944357 947416 1018256 1171262 1209179 1499714 1888714 1894832 2342524 2418358 2999428 3777428 4685048 4836716 5979487 5998856 7554856 9370096 9673432 11126989 11958974 11997712 13469513 14247283 15109712 17246711 19346864 22253978 23917948 26939026 28494566 34493422 44507956 47835896 53878052 56989132 68986844 89015912 95671792 107756104 113610253 113978264 137528201 137973688 178031824 215512208 227220506 227956528 255920747 275056402 275947376 327687509 454441012 511841494 550112804 655375018 908882024 1023682988 1100225608 1310750036 1620440977 1817764048 2047365976 2200451216 2613035819 2621500072 3240881954 4094731952 5226071638 5243000144 6481763908 10452143276 12963527816 20904286552 25927055632 30788378563 37270142471 41808573104 61576757126 74540284942 123153514252 149080569884 246307028504 298161139768 492614057008 596322279536 708132706949 1416265413898 2832530827796 5665061655592 11330123311184