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1001032411223 = 13773829120163
BaseRepresentation
bin11101001000100100010…
…11100110100001010111
310112200211200002100102202
432210102023212201113
5112400103244124343
62043511250355115
7132215342050205
oct16442213464127
93480750070382
101001032411223
11356598776809
1214200b88ba9b
1373521143360
14366435d0075
151b08c1eadb8
hexe9122e6857

1001032411223 has 16 divisors (see below), whose sum is σ = 1080740596320. Its totient is φ = 921713675904.

The previous prime is 1001032411213. The next prime is 1001032411237. The reversal of 1001032411223 is 3221142301001.

It is a cyclic number.

It is not a de Polignac number, because 1001032411223 - 212 = 1001032407127 is a prime.

It is a super-3 number, since 3×10010324112233 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001032411195 and 1001032411204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001032411213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8270540 + ... + 8390702.

It is an arithmetic number, because the mean of its divisors is an integer number (67546287270).

Almost surely, 21001032411223 is an apocalyptic number.

1001032411223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1001032411223 is a deficient number, since it is larger than the sum of its proper divisors (79708185097).

1001032411223 is a wasteful number, since it uses less digits than its factorization.

1001032411223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121778.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1001032411223 its reverse (3221142301001), we get a palindrome (4222174712224).

The spelling of 1001032411223 in words is "one trillion, one billion, thirty-two million, four hundred eleven thousand, two hundred twenty-three".

Divisors: 1 13 773 829 10049 10777 120163 640817 1562119 8330621 92885999 99615127 1207517987 1294996651 77002493171 1001032411223