Search a number
-
+
1133187553311 = 31132312338849
BaseRepresentation
bin10000011111010111001…
…111011101100000011111
311000022221210022011012220
4100133113033131200133
5122031232003201221
62224325034000423
7144604305163512
oct20372717354037
94008853264186
101133187553311
113a7644917000
12163752276113
1382b22671798
143cbbcdbad79
151e72436a0c6
hex107d73dd81f

1133187553311 has 32 divisors (see below), whose sum is σ = 1734151334400. Its totient is φ = 656920267520.

The previous prime is 1133187553301. The next prime is 1133187553313. The reversal of 1133187553311 is 1133557813311.

It is not a de Polignac number, because 1133187553311 - 221 = 1133185456159 is a prime.

It is a super-2 number, since 2×11331875533112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133187553313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6077586 + ... + 6261263.

It is an arithmetic number, because the mean of its divisors is an integer number (54192229200).

Almost surely, 21133187553311 is an apocalyptic number.

1133187553311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1133187553311 is a deficient number, since it is larger than the sum of its proper divisors (600963781089).

1133187553311 is a wasteful number, since it uses less digits than its factorization.

1133187553311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338908 (or 12338886 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The spelling of 1133187553311 in words is "one trillion, one hundred thirty-three billion, one hundred eighty-seven million, five hundred fifty-three thousand, three hundred eleven".

Divisors: 1 3 11 23 33 69 121 253 363 759 1331 2783 3993 8349 30613 91839 12338849 37016547 135727339 283793527 407182017 851380581 1493000729 3121728797 4479002187 9365186391 16423008019 34339016767 49269024057 103017050301 377729184437 1133187553311