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1003312122023 = 17127478397159
BaseRepresentation
bin11101001100110100001…
…00000000100010100111
310112220201112202122202002
432212122010000202213
5112414240400401043
62044525404435515
7132326003216321
oct16463204004247
93486645678662
101003312122023
1135755859a222
12142547248b9b
13737c5533563
14367bc29a611
151b172410bb8
hexe99a1008a7

1003312122023 has 16 divisors (see below), whose sum is σ = 1070930165760. Its totient is φ = 936652864896.

The previous prime is 1003312121993. The next prime is 1003312122049. The reversal of 1003312122023 is 3202212133001.

It is a cyclic number.

It is not a de Polignac number, because 1003312122023 - 28 = 1003312121767 is a prime.

It is a super-2 number, since 2×10033121220232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003312121986 and 1003312122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003312122073) 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, 10277918 + ... + 10375076.

It is an arithmetic number, because the mean of its divisors is an integer number (66933135360).

Almost surely, 21003312122023 is an apocalyptic number.

1003312122023 is a deficient number, since it is larger than the sum of its proper divisors (67618043737).

1003312122023 is a wasteful number, since it uses less digits than its factorization.

1003312122023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102086.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1003312122023 its reverse (3202212133001), we get a palindrome (4205524255024).

The spelling of 1003312122023 in words is "one trillion, three billion, three hundred twelve million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 17 127 2159 4783 81311 97159 607441 1651703 10326497 12339193 209766281 464711497 7900095449 59018360119 1003312122023