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1125322349652 = 2232472638872851
BaseRepresentation
bin10000011000000010011…
…100000101110001010100
310222120122122112102010200
4100120002130011301110
5121414130010142102
62220544351220500
7144205352101554
oct20300234056124
93876578472120
101125322349652
113a4279147096
12162118217730
138216b036317
143c6745a1164
151e413ae951c
hex10602705c54

1125322349652 has 144 divisors (see below), whose sum is σ = 2920445079552. Its totient is φ = 365190062400.

The previous prime is 1125322349647. The next prime is 1125322349687. The reversal of 1125322349652 is 2569432235211.

It is a happy number.

1125322349652 is a `hidden beast` number, since 1 + 1 + 2 + 532 + 23 + 4 + 96 + 5 + 2 = 666.

It is a super-2 number, since 2×11253223496522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1125322349598 and 1125322349607.

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, 394710027 + ... + 394712877.

It is an arithmetic number, because the mean of its divisors is an integer number (20280868608).

Almost surely, 21125322349652 is an apocalyptic number.

1125322349652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125322349652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460222539776).

1125322349652 is an abundant number, since it is smaller than the sum of its proper divisors (1795122729900).

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

1125322349652 is a wasteful number, since it uses less digits than its factorization.

1125322349652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4053 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 1125322349652 in words is "one trillion, one hundred twenty-five billion, three hundred twenty-two million, three hundred forty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 263 282 423 526 564 789 846 887 1052 1578 1692 1774 2367 2661 2851 3156 3548 4734 5322 5702 7983 8553 9468 10644 11404 12361 15966 17106 24722 25659 31932 34212 37083 41689 49444 51318 74166 83378 102636 111249 125067 133997 148332 166756 222498 233281 250134 267994 375201 401991 444996 466562 500268 535988 699843 749813 750402 803982 933124 1205973 1399686 1499626 1500804 1607964 2099529 2249439 2411946 2528837 2799372 2999252 4199058 4498878 4823892 5057674 6748317 7586511 8398116 8997756 10115348 10964207 13496634 15173022 21928414 22759533 26993268 30346044 32892621 35241211 43856828 45519066 65785242 70482422 91038132 98677863 105723633 118855339 131570484 140964844 197355726 211447266 237710678 317170899 356566017 394711452 422894532 475421356 634341798 665084131 713132034 1069698051 1268683596 1330168262 1426264068 1995252393 2139396102 2660336524 3990504786 4278792204 5985757179 7981009572 11971514358 23943028716 31258954157 62517908314 93776862471 125035816628 187553724942 281330587413 375107449884 562661174826 1125322349652