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101002332213 = 341993625661
BaseRepresentation
bin101111000010000110…
…1010100100000110101
3100122201000201002120000
41132010031110200311
53123323044112323
6114222210301513
710203634441566
oct1360415244065
9318630632500
10101002332213
1139920202132
12176a9587899
1396a8385323
144c6221816d
15296222be43
hex1784354835

101002332213 has 20 divisors (see below), whose sum is σ = 150955973388. Its totient is φ = 67300994880.

The previous prime is 101002332187. The next prime is 101002332239. The reversal of 101002332213 is 312233200101.

It is an interprime number because it is at equal distance from previous prime (101002332187) and next prime (101002332239).

It can be written as a sum of positive squares in 2 ways, for example, as 77529947364 + 23472384849 = 278442^2 + 153207^2 .

It is not a de Polignac number, because 101002332213 - 212 = 101002328117 is a prime.

It is a super-2 number, since 2×1010023322132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002332253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151398 + ... + 474263.

Almost surely, 2101002332213 is an apocalyptic number.

It is an amenable number.

101002332213 is a deficient number, since it is larger than the sum of its proper divisors (49953641175).

101002332213 is an equidigital number, since it uses as much as digits as its factorization.

101002332213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627666 (or 627657 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101002332213 its reverse (312233200101), we get a palindrome (413235532314).

The spelling of 101002332213 in words is "one hundred one billion, two million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 1993 5979 17937 53811 161433 625661 1876983 5630949 16892847 50678541 1246942373 3740827119 11222481357 33667444071 101002332213