Search a number
-
+
10516661001 = 347111686173
BaseRepresentation
bin10011100101101011…
…11000001100001001
31000010220221201210000
421302311320030021
5133014231123001
64455320313213
7521420100150
oct116265701411
930126851700
1010516661001
114507421080
122056012809
13cb7a56c42
1471aa14597
15418417a86
hex272d78309

10516661001 has 40 divisors (see below), whose sum is σ = 19586597184. Its totient is φ = 5463197280.

The previous prime is 10516660993. The next prime is 10516661009. The reversal of 10516661001 is 10016661501.

It is an interprime number because it is at equal distance from previous prime (10516660993) and next prime (10516661009).

It is not a de Polignac number, because 10516661001 - 23 = 10516660993 is a prime.

It is a super-2 number, since 2×105166610012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10516661009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 836850 + ... + 849323.

Almost surely, 210516661001 is an apocalyptic number.

10516661001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10516661001 is a deficient number, since it is larger than the sum of its proper divisors (9069936183).

10516661001 is a wasteful number, since it uses less digits than its factorization.

10516661001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686203 (or 1686194 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10516661001 in words is "ten billion, five hundred sixteen million, six hundred sixty-one thousand, one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 693 891 2079 6237 1686173 5058519 11803211 15175557 18547903 35409633 45526671 55643709 106228899 129835321 136580013 166931127 318686697 389505963 500793381 956060091 1168517889 1502380143 3505553667 10516661001