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1031012112321 = 321722853294869
BaseRepresentation
bin11110000000011010001…
…11000101011111000001
310122120020000011221221200
433000031013011133001
5113343003100043241
62105350155411413
7134326304233452
oct17001507053701
93576200157850
101031012112321
11368282505994
12147997a53b69
13762bb24bc69
1437c89073129
151bc441654b6
hexf00d1c57c1

1031012112321 has 24 divisors (see below), whose sum is σ = 1576916401320. Its totient is φ = 646879059456.

The previous prime is 1031012112307. The next prime is 1031012112341. The reversal of 1031012112321 is 1232112101301.

1031012112321 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 21 + 12 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6687968400 + 1024324143921 = 81780^2 + 1012089^2 .

It is not a de Polignac number, because 1031012112321 - 29 = 1031012111809 is a prime.

It is a super-2 number, since 2×10310121123212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031012112294 and 1031012112303.

It is not an unprimeable number, because it can be changed into a prime (1031012112341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3349075 + ... + 3643943.

It is an arithmetic number, because the mean of its divisors is an integer number (65704850055).

Almost surely, 21031012112321 is an apocalyptic number.

It is an amenable number.

1031012112321 is a deficient number, since it is larger than the sum of its proper divisors (545904288999).

1031012112321 is a wasteful number, since it uses less digits than its factorization.

1031012112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317745 (or 317742 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1031012112321 its reverse (1232112101301), we get a palindrome (2263124213622).

The spelling of 1031012112321 in words is "one trillion, thirty-one billion, twelve million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 22853 68559 205677 294869 388501 884607 1165503 2653821 3496509 5012773 15038319 45114957 6738641257 20215923771 60647771313 114556901369 343670704107 1031012112321