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1022425042452 = 22311171571290023
BaseRepresentation
bin11101110000011010100…
…10000000111000010100
310121202001120002121120220
432320031102000320110
5113222411302324302
62101410124554340
7133603434316362
oct16701522007024
93552046077526
101022425042452
11364676311230
121461a00b29b0
13755501b9728
14376b282a632
151b8e03534bc
hexee0d480e14

1022425042452 has 96 divisors (see below), whose sum is σ = 2757390418944. Its totient is φ = 291414105600.

The previous prime is 1022425042451. The next prime is 1022425042459. The reversal of 1022425042452 is 2542405242201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022425042451) 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, 3380313 + ... + 3670335.

It is an arithmetic number, because the mean of its divisors is an integer number (28722816864).

Almost surely, 21022425042452 is an apocalyptic number.

1022425042452 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 1022425042452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378695209472).

1022425042452 is an abundant number, since it is smaller than the sum of its proper divisors (1734965376492).

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

1022425042452 is a wasteful number, since it uses less digits than its factorization.

1022425042452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291629 (or 291627 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

The spelling of 1022425042452 in words is "one trillion, twenty-two billion, four hundred twenty-five million, forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1571 2244 3142 4713 6284 9426 17281 18852 26707 34562 51843 53414 69124 80121 103686 106828 160242 207372 290023 293777 320484 580046 587554 870069 881331 1160092 1175108 1740138 1762662 3190253 3480276 3525324 4930391 6380506 9570759 9860782 12761012 14791173 19141518 19721564 29582346 38283036 54234301 59164692 108468602 162702903 216937204 325405806 455626133 650811612 911252266 1366878399 1822504532 2733756798 5011887463 5467513596 7745644261 10023774926 15035662389 15491288522 20047549852 23236932783 30071324778 30982577044 46473865566 60142649556 85202086871 92947731132 170404173742 255606260613 340808347484 511212521226 1022425042452