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1132110131310 = 232529433758671
BaseRepresentation
bin10000011110010111000…
…001011011000001101110
311000020011200221110002100
4100132113001123001232
5122022030143200220
62224030105035530
7144535513224504
oct20362701330156
94006150843070
101132110131310
113a71417229a4
121634b1485ba6
13829b0397782
143cb19c78674
151e6ae993d90
hex1079705b06e

1132110131310 has 48 divisors (see below), whose sum is σ = 3044985877440. Its totient is φ = 291485826240.

The previous prime is 1132110131293. The next prime is 1132110131311. The reversal of 1132110131310 is 131310112311.

1132110131310 is a `hidden beast` number, since 1 + 1 + 321 + 1 + 0 + 1 + 31 + 310 = 666.

It is a super-2 number, since 2×11321101313102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132110131311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216876726 + ... + 216881945.

It is an arithmetic number, because the mean of its divisors is an integer number (63437205780).

Almost surely, 21132110131310 is an apocalyptic number.

1132110131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1132110131310 is an abundant number, since it is smaller than the sum of its proper divisors (1912875746130).

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

1132110131310 is a wasteful number, since it uses less digits than its factorization.

1132110131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433758713 (or 433758710 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1132110131310 its reverse (131310112311), we get a palindrome (1263420243621).

The spelling of 1132110131310 in words is "one trillion, one hundred thirty-two billion, one hundred ten million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 433758671 867517342 1301276013 2168793355 2602552026 3903828039 4337586710 6506380065 7807656078 12579001459 13012760130 19519140195 25158002918 37737004377 39038280390 62895007295 75474008754 113211013131 125790014590 188685021885 226422026262 377370043770 566055065655 1132110131310