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1132226325126 = 233132313396377
BaseRepresentation
bin10000011110011101111…
…100101010101010000110
311000020110210120201001000
4100132131330222222012
5122022244414401001
62224045415314130
7144541423654131
oct20363574525206
94006423521030
101132226325126
113a71a1275046
1216352437b946
13829cb48b100
143cb2b483218
151e6b9c96a86
hex1079df2aa86

1132226325126 has 96 divisors (see below), whose sum is σ = 2733200716320. Its totient is φ = 347263428096.

The previous prime is 1132226325089. The next prime is 1132226325173. The reversal of 1132226325126 is 6215236222311.

1132226325126 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 2 + 2 + 632 + 5 + 12 + 6 = 666.

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, 2658250 + ... + 3054626.

It is an arithmetic number, because the mean of its divisors is an integer number (28470840795).

Almost surely, 21132226325126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132226325126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366600358160).

1132226325126 is an abundant number, since it is smaller than the sum of its proper divisors (1600974391194).

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

1132226325126 is a wasteful number, since it uses less digits than its factorization.

1132226325126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396727 (or 396708 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 1132226325126 in words is "one trillion, one hundred thirty-two billion, two hundred twenty-six million, three hundred twenty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 313 338 351 507 626 702 939 1014 1521 1878 2817 3042 4069 4563 5634 8138 8451 9126 12207 16902 24414 36621 52897 73242 105794 109863 158691 219726 317382 396377 476073 792754 952146 1189131 1428219 2378262 2856438 3567393 5152901 7134786 10305802 10702179 15458703 21404358 30917406 46376109 66987713 92752218 124066001 133975426 139128327 200963139 248132002 278256654 372198003 401926278 602889417 744396006 1116594009 1205778834 1612858013 1808668251 2233188018 3225716026 3349782027 3617336502 4838574039 6699564054 9677148078 14515722117 20967154169 29031444234 41934308338 43547166351 62901462507 87094332702 125802925014 188704387521 377408775042 566113162563 1132226325126