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11323002121104 = 24323347188915647
BaseRepresentation
bin1010010011000101011110…
…0001001110101110010000
31111002110122111010112020210
42210301113201032232100
52441004002020333404
640025414304004120
72246026356001362
oct244612741165620
944073574115223
1011323002121104
113676070564253
12132a582600640
136419a68a53bb
142b2071598d32
1514980d446689
hexa4c5784eb90

11323002121104 has 160 divisors (see below), whose sum is σ = 30628999618560. Its totient is φ = 3597692809216.

The previous prime is 11323002121097. The next prime is 11323002121111. The reversal of 11323002121104 is 40112120032311.

It is an interprime number because it is at equal distance from previous prime (11323002121097) and next prime (11323002121111).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723645409 + ... + 723661055.

It is an arithmetic number, because the mean of its divisors is an integer number (191431247616).

Almost surely, 211323002121104 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 11323002121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15314499809280).

11323002121104 is an abundant number, since it is smaller than the sum of its proper divisors (19305997497456).

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

11323002121104 is a wasteful number, since it uses less digits than its factorization.

11323002121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17917 (or 17911 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11323002121104 its reverse (40112120032311), we get a palindrome (51435122153415).

The spelling of 11323002121104 in words is "eleven trillion, three hundred twenty-three billion, two million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 347 368 552 694 1041 1104 1388 1889 2082 2776 3778 4164 5552 5667 7556 7981 8328 11334 15112 15647 15962 16656 22668 23943 30224 31294 31924 43447 45336 46941 47886 62588 63848 86894 90672 93882 95772 125176 127696 130341 173788 187764 191544 250352 260682 347576 359881 375528 383088 521364 655483 695152 719762 751056 1042728 1079643 1310966 1439524 1966449 2085456 2159286 2621932 2879048 3932898 4318572 5243864 5429509 5758096 7865796 8637144 10487728 10859018 15076109 15731592 16288527 17274288 21718036 29557183 30152218 31463184 32577054 43436072 45228327 59114366 60304436 65154108 86872144 88671549 90456654 118228732 120608872 124878707 130308216 177343098 180913308 236457464 241217744 249757414 260616432 354686196 361826616 374636121 472914928 499514828 679815209 709372392 723653232 749272242 999029656 1359630418 1418744784 1498544484 1998059312 2039445627 2719260836 2997088968 4078891254 5438521672 5994177936 8157782508 10256342501 10877043344 16315565016 20512685002 30769027503 32631130032 41025370004 61538055006 82050740008 123076110012 164101480016 235895877523 246152220024 471791755046 492304440048 707687632569 943583510092 1415375265138 1887167020184 2830750530276 3774334040368 5661501060552 11323002121104