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1132033311311 = 72174321076869
BaseRepresentation
bin10000011110010010011…
…100011000001001001111
311000012222100101120212012
4100132102130120021033
5122021401011430221
62224014322331435
7144533561244500
oct20362234301117
94005870346765
101132033311311
113a71023239a1
1216348b7b9b7b
138299a4ab956
143cb0d99cba7
151e6a7d6c65b
hex1079271824f

1132033311311 has 72 divisors (see below), whose sum is σ = 1441048067280. Its totient is φ = 883533805056.

The previous prime is 1132033311239. The next prime is 1132033311359. The reversal of 1132033311311 is 1131133302311.

It is not a de Polignac number, because 1132033311311 - 222 = 1132029117007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132033314311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164799785 + ... + 164806653.

It is an arithmetic number, because the mean of its divisors is an integer number (20014556490).

Almost surely, 21132033311311 is an apocalyptic number.

1132033311311 is a deficient number, since it is larger than the sum of its proper divisors (309014755969).

1132033311311 is a wasteful number, since it uses less digits than its factorization.

1132033311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1132033311311 its reverse (1131133302311), we get a palindrome (2263166613622).

The spelling of 1132033311311 in words is "one trillion, one hundred thirty-two billion, thirty-three million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 7 17 43 49 107 119 301 731 749 833 1819 1849 2107 4601 5117 5243 6869 12733 12943 31433 32207 35819 48083 78217 89131 90601 116773 197843 220031 225449 295367 336581 547519 734983 817411 1384901 1540217 2067569 3363331 3832633 5021239 5144881 5721877 9694307 12494711 12700781 14472983 23543317 31604269 35148673 36014167 87462977 88905467 164803219 215913277 221229883 246040711 537272573 612240839 622338269 1358983567 1511392939 1548609181 3760908011 9512884969 10579750573 23102720639 26326356077 66590194783 161719044473 1132033311311