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1132222340520 = 233352608340193
BaseRepresentation
bin10000011110011101101…
…101011101110110101000
311000020110112002021012000
4100132131231131312220
5122022242404344040
62224045154051000
7144541345050165
oct20363555356650
94006415067160
101132222340520
113a7199aa3387
12163522b79a60
13829ca6c455b
143cb2ab2706c
151e6b975b130
hex1079db5dda8

1132222340520 has 128 divisors (see below), whose sum is σ = 3774313065600. Its totient is φ = 301906870272.

The previous prime is 1132222340467. The next prime is 1132222340527. The reversal of 1132222340520 is 250432222311.

1132222340520 is a `hidden beast` number, since 1 + 1 + 32 + 2 + 223 + 405 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1132222340527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28149544 + ... + 28189736.

It is an arithmetic number, because the mean of its divisors is an integer number (29486820825).

Almost surely, 21132222340520 is an apocalyptic number.

1132222340520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132222340520 is an abundant number, since it is smaller than the sum of its proper divisors (2642090725080).

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

1132222340520 is a wasteful number, since it uses less digits than its factorization.

1132222340520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66296 (or 66286 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1132222340520 its reverse (250432222311), we get a palindrome (1382654562831).

The spelling of 1132222340520 in words is "one trillion, one hundred thirty-two billion, two hundred twenty-two million, three hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 26083 40193 52166 78249 80386 104332 120579 130415 156498 160772 200965 208664 234747 241158 260830 312996 321544 361737 391245 401930 469494 482316 521660 602895 625992 704241 723474 782490 803860 938988 964632 1043320 1085211 1173735 1205790 1408482 1446948 1564980 1607720 1808685 1877976 2170422 2347470 2411580 2816964 2893896 3129960 3521205 3617370 4340844 4694940 4823160 5426055 5633928 7042410 7234740 8681688 9389880 10852110 14084820 14469480 21704220 28169640 43408440 1048354019 2096708038 3145062057 4193416076 5241770095 6290124114 8386832152 9435186171 10483540190 12580248228 15725310285 18870372342 20967080380 25160496456 28305558513 31450620570 37740744684 41934160760 47175930855 56611117026 62901241140 75481489368 94351861710 113222234052 125802482280 141527792565 188703723420 226444468104 283055585130 377407446840 566111170260 1132222340520