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1032097852801 = 234147161314437
BaseRepresentation
bin11110000010011011101…
…00110110110110000001
310122200000200012021220001
433001031310312312001
5113402214022242201
62110050022520001
7134365226666551
oct17011564666601
93580020167801
101032097852801
1136878a370874
1214803b596001
1376432179352
1437d4d33d161
151bca9631301
hexf04dd36d81

1032097852801 has 32 divisors (see below), whose sum is σ = 1127489061888. Its totient is φ = 942003279360.

The previous prime is 1032097852781. The next prime is 1032097852811. The reversal of 1032097852801 is 1082587902301.

It is a happy number.

1032097852801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1032097852801 - 25 = 1032097852769 is a prime.

It is a super-3 number, since 3×10320978528013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1032097852811) 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, 71482555 + ... + 71496991.

It is an arithmetic number, because the mean of its divisors is an integer number (35234033184).

Almost surely, 21032097852801 is an apocalyptic number.

It is an amenable number.

1032097852801 is a deficient number, since it is larger than the sum of its proper divisors (95391209087).

1032097852801 is a wasteful number, since it uses less digits than its factorization.

1032097852801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16161.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 1032097852801 in words is "one trillion, thirty-two billion, ninety-seven million, eight hundred fifty-two thousand, eight hundred one".

Divisors: 1 23 41 47 943 1081 1613 1927 14437 37099 44321 66133 75811 332051 591917 678539 1521059 1743653 3108251 13614091 15606397 23286881 27820099 71489773 535598263 639862277 954762121 1094483407 21959528783 25173118361 44873819687 1032097852801