Search a number
-
+
13106372187699 = 337474787308219
BaseRepresentation
bin1011111010111001000010…
…1010001001011000110011
31201101221211121112112202000
42332232100222021120303
53204213322240001244
643512552333425043
72521622056312530
oct276562052113063
951357747475660
1013106372187699
1141a342146581a
12157812963b183
13740c056b7c0b
143344cd499d87
1517add8027169
hexbeb90a89633

13106372187699 has 64 divisors (see below), whose sum is σ = 22667633049600. Its totient is φ = 7328452536864.

The previous prime is 13106372187697. The next prime is 13106372187703. The reversal of 13106372187699 is 99678127360131.

13106372187699 is a `hidden beast` number, since 1 + 3 + 106 + 372 + 1 + 8 + 76 + 99 = 666.

13106372187699 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13106372187699 - 21 = 13106372187697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13106372187697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42368812 + ... + 42677030.

It is an arithmetic number, because the mean of its divisors is an integer number (354181766400).

Almost surely, 213106372187699 is an apocalyptic number.

13106372187699 is a deficient number, since it is larger than the sum of its proper divisors (9561260861901).

13106372187699 is a wasteful number, since it uses less digits than its factorization.

13106372187699 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313069 (or 313063 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 13106372187699 in words is "thirteen trillion, one hundred six billion, three hundred seventy-two million, one hundred eighty-seven thousand, six hundred ninety-nine".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 423 987 1269 2961 4787 8883 14361 33509 43083 100527 129249 224989 301581 308219 674967 904743 924657 1574923 2024901 2157533 2773971 4724769 6074703 6472599 8321913 14174307 14486293 19417797 42522921 43458879 58253391 101404051 130376637 304212153 391129911 912636459 1475444353 2737909377 4426333059 10328110471 13278999177 30984331413 39836997531 69345884591 92952994239 208037653773 278858982717 485421192137 624112961319 1456263576411 1872338883957 4368790729233 13106372187699