Search a number
-
+
10402266106011 = 3139743110096323
BaseRepresentation
bin1001011101011111011101…
…1000000100100010011011
31100211110001210212201212110
42113113313120010202123
52330412320110343021
634042422435443403
72122352565002343
oct227276730044233
940743053781773
1010402266106011
1133506380373aa
121200041a56563
135a5c111024a0
1427d688259d23
151308c0765476
hex975f760489b

10402266106011 has 64 divisors (see below), whose sum is σ = 15142970787840. Its totient is φ = 6313438494720.

The previous prime is 10402266105943. The next prime is 10402266106061. The reversal of 10402266106011 is 11060166220401.

It is not a de Polignac number, because 10402266106011 - 29 = 10402266105499 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10402266106011.

It is not an unprimeable number, because it can be changed into a prime (10402266106061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1645144096 + ... + 1645150418.

It is an arithmetic number, because the mean of its divisors is an integer number (236608918560).

Almost surely, 210402266106011 is an apocalyptic number.

10402266106011 is a deficient number, since it is larger than the sum of its proper divisors (4740704681829).

10402266106011 is a wasteful number, since it uses less digits than its factorization.

10402266106011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 10402266106011 in words is "ten trillion, four hundred two billion, two hundred sixty-six million, one hundred six thousand, eleven".

Divisors: 1 3 13 39 97 291 431 1009 1261 1293 3027 3783 5603 6323 13117 16809 18969 39351 41807 82199 97873 125421 246597 293619 434879 543491 613331 1272349 1304637 1630473 1839993 2725213 3817047 5653427 6379907 7973303 8175639 16960281 19139721 23919909 35427769 42183263 82938791 106283307 126549789 248816373 264345661 548382419 618850979 793036983 1645147257 1856552937 2749739917 3436493593 8045062727 8249219751 10309480779 24135188181 35746618921 107239856763 266724771949 800174315847 3467422035337 10402266106011