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10240634065131 = 35473975474129
BaseRepresentation
bin1001010100000101010101…
…0110110001000011101011
31100020222212101200022200000
42111001111112301003223
52320240304310041011
633440252104114043
72104601313220431
oct225012526610353
940228771608600
1010240634065131
113299034a58828
121194853765923
135938c29c1c02
14275913ab0d51
1512b5b089a356
hex950555b10eb

10240634065131 has 96 divisors (see below), whose sum is σ = 15738245053440. Its totient is φ = 6651205456896.

The previous prime is 10240634065117. The next prime is 10240634065163. The reversal of 10240634065131 is 13156043604201.

10240634065131 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 634 + 0 + 6 + 5 + 13 + 1 = 666.

It is not a de Polignac number, because 10240634065131 - 27 = 10240634065003 is a prime.

It is a super-2 number, since 2×102406340651312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10240634065031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2480170875 + ... + 2480175003.

It is an arithmetic number, because the mean of its divisors is an integer number (163940052640).

Almost surely, 210240634065131 is an apocalyptic number.

10240634065131 is a deficient number, since it is larger than the sum of its proper divisors (5497610988309).

10240634065131 is an equidigital number, since it uses as much as digits as its factorization.

10240634065131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10240634065131 its reverse (13156043604201), we get a palindrome (23396677669332).

The spelling of 10240634065131 in words is "ten trillion, two hundred forty billion, six hundred thirty-four million, sixty-five thousand, one hundred thirty-one".

Divisors: 1 3 9 27 47 81 141 243 397 423 547 1191 1269 1641 3573 3807 4129 4923 10719 11421 12387 14769 18659 25709 32157 37161 44307 55977 77127 96471 111483 132921 167931 194063 217159 231381 334449 503793 582189 651477 694143 1003347 1511379 1639213 1746567 1954431 2082429 2258563 4534137 4917639 5239701 5863293 6247287 6775689 10206473 14752917 15719103 17589879 20327067 30619419 44258751 47157309 52769637 60981201 77043011 91858257 106152461 132776253 182943603 231129033 275574771 318457383 398328759 548830809 693387099 826724313 896649511 955372149 2080161297 2480172939 2689948533 2866116447 6240483891 8069845599 8598349341 18721451673 24209536797 25795048023 42142527017 72628610391 126427581051 217885831173 379282743153 1137848229459 3413544688377 10240634065131