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1132523151312 = 243719509348527
BaseRepresentation
bin10000011110101111101…
…000111101111111010000
311000021020111010001000110
4100132233220331333100
5122023401411320222
62224135101321320
7144551656644450
oct20365750757720
94007214101013
101132523151312
113a7333880a43
121635a7866240
1382a47b173c7
143cb58a6bd60
151e6d5d7a30c
hex107afa3dfd0

1132523151312 has 160 divisors (see below), whose sum is σ = 3526545715200. Its totient is φ = 305944487424.

The previous prime is 1132523151307. The next prime is 1132523151323. The reversal of 1132523151312 is 2131513252311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1132523151312.

It is a congruent number.

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, 3075193 + ... + 3423719.

It is an arithmetic number, because the mean of its divisors is an integer number (22040910720).

Almost surely, 21132523151312 is an apocalyptic number.

1132523151312 is a gapful number since it is divisible by the number (12) 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 1132523151312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763272857600).

1132523151312 is an abundant number, since it is smaller than the sum of its proper divisors (2394022563888).

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

1132523151312 is a wasteful number, since it uses less digits than its factorization.

1132523151312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349073 (or 349067 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The spelling of 1132523151312 in words is "one trillion, one hundred thirty-two billion, five hundred twenty-three million, one hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 509 532 798 912 1018 1064 1527 1596 2036 2128 3054 3192 3563 4072 6108 6384 7126 8144 9671 10689 12216 14252 19342 21378 24432 28504 29013 38684 42756 57008 58026 67697 77368 85512 116052 135394 154736 171024 203091 232104 270788 348527 406182 464208 541576 697054 812364 1045581 1083152 1394108 1624728 2091162 2439689 2788216 3249456 4182324 4879378 5576432 6622013 7319067 8364648 9758756 13244026 14638134 16729296 19517512 19866039 26488052 29276268 39035024 39732078 46354091 52976104 58552536 79464156 92708182 105952208 117105072 139062273 158928312 177400243 185416364 278124546 317856624 354800486 370832728 532200729 556249092 709600972 741665456 1064401458 1112498184 1241801701 1419201944 2128802916 2224996368 2483603402 2838403888 3370604617 3725405103 4257605832 4967206804 6741209234 7450810206 8515211664 9934413608 10111813851 13482418468 14901620412 19868827216 20223627702 23594232319 26964836936 29803240824 40447255404 47188464638 53929673872 59606481648 70782696957 80894510808 94376929276 141565393914 161789021616 188753858552 283130787828 377507717104 566261575656 1132523151312