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1032021032121 = 321011135336669
BaseRepresentation
bin11110000010010010011…
…11110011110010111001
310122122211022122101201200
433001021033303302321
5113402034341011441
62110034240204413
7134363305014552
oct17011117636271
93578738571650
101032021032121
1136874aa71302
12148019909709
137641c290121
1437d43063329
151bca2a097b6
hexf0493f3cb9

1032021032121 has 12 divisors (see below), whose sum is σ = 1505456424420. Its totient is φ = 681202000800.

The previous prime is 1032021032087. The next prime is 1032021032153. The reversal of 1032021032121 is 1212301202301.

1032021032121 is a `hidden beast` number, since 1 + 0 + 320 + 2 + 1 + 0 + 321 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 786877217721 + 245143814400 = 887061^2 + 495120^2 .

It is not a de Polignac number, because 1032021032121 - 29 = 1032021031609 is a prime.

It is a super-2 number, since 2×10320210321212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032021032094 and 1032021032103.

It is not an unprimeable number, because it can be changed into a prime (1032021032171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567667426 + ... + 567669243.

It is an arithmetic number, because the mean of its divisors is an integer number (125454702035).

Almost surely, 21032021032121 is an apocalyptic number.

It is an amenable number.

1032021032121 is a deficient number, since it is larger than the sum of its proper divisors (473435392299).

1032021032121 is a wasteful number, since it uses less digits than its factorization.

1032021032121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135336776 (or 1135336773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1032021032121 its reverse (1212301202301), we get a palindrome (2244322234422).

The spelling of 1032021032121 in words is "one trillion, thirty-two billion, twenty-one million, thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 1135336669 3406010007 10218030021 114669003569 344007010707 1032021032121