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1021130343024 = 2431121453121001
BaseRepresentation
bin11101101110000000001…
…11001000001001110000
310121121201022220001212020
432313000013020021300
5113212233331434044
62101033435031440
7133526363463441
oct16670007101160
93547638801766
101021130343024
11364071504400
12145a9a59b580
13753a4bb92ac
14375cc8c92c8
151b86685da19
hexedc01c8270

1021130343024 has 120 divisors (see below), whose sum is σ = 2901551486736. Its totient is φ = 309217920000.

The previous prime is 1021130343019. The next prime is 1021130343041. The reversal of 1021130343024 is 4203430311201.

It is a happy number.

It is a super-3 number, since 3×10211303430243 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1021130342985 and 1021130343003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8378524 + ... + 8499524.

Almost surely, 21021130343024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021130343024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450775743368).

1021130343024 is an abundant number, since it is smaller than the sum of its proper divisors (1880421143712).

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

1021130343024 is a wasteful number, since it uses less digits than its factorization.

1021130343024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122487 (or 122470 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1021130343024 its reverse (4203430311201), we get a palindrome (5224560654225).

The spelling of 1021130343024 in words is "one trillion, twenty-one billion, one hundred thirty million, three hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1453 1936 2904 2906 4359 5808 5812 8718 11624 15983 17436 23248 31966 34872 47949 63932 69744 95898 121001 127864 175813 191796 242002 255728 351626 363003 383592 484004 527439 703252 726006 767184 968008 1054878 1331011 1406504 1452012 1936016 2109756 2662022 2813008 2904024 3993033 4219512 5324044 5808048 7986066 8439024 10648088 14641121 15972132 21296176 29282242 31944264 43923363 58564484 63888528 87846726 117128968 175693452 175814453 234257936 351386904 351628906 527443359 702773808 703257812 1054886718 1406515624 1933958983 2109773436 2813031248 3867917966 4219546872 5801876949 7735835932 8439093744 11603753898 15471671864 21273548813 23207507796 30943343728 42547097626 46415015592 63820646439 85094195252 92830031184 127641292878 170188390504 255282585756 340376781008 510565171512 1021130343024