Search a number
-
+
1010032131321 = 321910315729021
BaseRepresentation
bin11101011001010101001…
…10110011110011111001
310120120001212122111111100
432230222212303303321
5113022021211200241
62052000301522013
7132654352314213
oct16545246636371
93516055574440
101010032131321
1135a396896714
12143901873309
1374326826115
1436c589715b3
151b41736e9b6
hexeb2a9b3cf9

1010032131321 has 24 divisors (see below), whose sum is σ = 1537211183040. Its totient is φ = 637296184800.

The previous prime is 1010032131299. The next prime is 1010032131331. The reversal of 1010032131321 is 1231312300101.

1010032131321 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 321 + 313 + 21 = 666.

It is not a de Polignac number, because 1010032131321 - 211 = 1010032129273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010032131294 and 1010032131303.

It is not an unprimeable number, because it can be changed into a prime (1010032131331) 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, 2688210 + ... + 3040811.

It is an arithmetic number, because the mean of its divisors is an integer number (64050465960).

Almost surely, 21010032131321 is an apocalyptic number.

It is an amenable number.

1010032131321 is a deficient number, since it is larger than the sum of its proper divisors (527179051719).

1010032131321 is a wasteful number, since it uses less digits than its factorization.

1010032131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730077 (or 5730074 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1010032131321 its reverse (1231312300101), we get a palindrome (2241344431422).

The spelling of 1010032131321 in words is "one trillion, ten billion, thirty-two million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 19 57 171 1031 3093 9279 19589 58767 176301 5729021 17187063 51561189 108851399 326554197 979662591 5906620651 17719861953 53159585859 112225792369 336677377107 1010032131321