Search a number
-
+
1010022131001 = 31367738254067
BaseRepresentation
bin11101011001010100000…
…00101010010100111001
310120120001011211102122010
432230222000222110321
5113022011131143001
62051555303320133
7132654201313602
oct16545200522471
93516034742563
101010022131001
1135a391186294
121438ba450049
1374324734380
1436c574cada9
151b4165468d6
hexeb2a02a539

1010022131001 has 16 divisors (see below), whose sum is σ = 1452430453824. Its totient is φ = 620633966784.

The previous prime is 1010022130973. The next prime is 1010022131023. The reversal of 1010022131001 is 1001312200101.

It is not a de Polignac number, because 1010022131001 - 25 = 1010022130969 is a prime.

It is a super-2 number, since 2×10100221310012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010022138001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19100631 + ... + 19153436.

It is an arithmetic number, because the mean of its divisors is an integer number (90776903364).

Almost surely, 21010022131001 is an apocalyptic number.

It is an amenable number.

1010022131001 is a deficient number, since it is larger than the sum of its proper divisors (442408322823).

1010022131001 is a wasteful number, since it uses less digits than its factorization.

1010022131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38254760.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1010022131001 its reverse (1001312200101), we get a palindrome (2011334331102).

The spelling of 1010022131001 in words is "one trillion, ten billion, twenty-two million, one hundred thirty-one thousand, one".

Divisors: 1 3 13 39 677 2031 8801 26403 38254067 114762201 497302871 1491908613 25898003359 77694010077 336674043667 1010022131001