Search a number
-
+
1002322322113 = 71940118899949
BaseRepresentation
bin11101001010111110001…
…00001110001011000001
310112211011120021121112011
432211133010032023001
5112410224003301423
62044243245532521
7132262324110310
oct16453704161301
93484146247464
101002322322113
1135709a902972
1214230b874141
1373698458038
1436726a46277
151b115596b0d
hexe95f10e2c1

1002322322113 has 32 divisors (see below), whose sum is σ = 1209569760000. Its totient is φ = 811374796800.

The previous prime is 1002322322101. The next prime is 1002322322129. The reversal of 1002322322113 is 3112232232001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002322322113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002322322173) 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 31 ways as a sum of consecutive naturals, for example, 100741063 + ... + 100751011.

It is an arithmetic number, because the mean of its divisors is an integer number (37799055000).

Almost surely, 21002322322113 is an apocalyptic number.

It is an amenable number.

1002322322113 is a deficient number, since it is larger than the sum of its proper divisors (207247437887).

1002322322113 is a wasteful number, since it uses less digits than its factorization.

1002322322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12265.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1002322322113 its reverse (3112232232001), we get a palindrome (4114554554114).

The spelling of 1002322322113 in words is "one trillion, two billion, three hundred twenty-two million, three hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 7 19 133 401 1889 2807 7619 9949 13223 35891 53333 69643 189031 251237 757489 1323217 3989549 5302423 14392291 18793661 27926843 75801431 100746037 131555627 357079559 530610017 2499556913 7536258061 52753806427 143188903159 1002322322113