Search a number
-
+
1007132616523 = 11192253621913
BaseRepresentation
bin11101010011111011100…
…10000010011101001011
310120021120210200212221101
432221331302002131023
5113000101422212043
62050400443122231
7132522453664255
oct16517562023513
93507523625841
101007132616523
113591391192a0
12143232813377
1373c83bc51a7
1436a61844cd5
151b2e7a2924d
hexea7dc8274b

1007132616523 has 12 divisors (see below), whose sum is σ = 1159559390808. Its totient is φ = 867386939040.

The previous prime is 1007132616517. The next prime is 1007132616527. The reversal of 1007132616523 is 3256162317001.

It is not a de Polignac number, because 1007132616523 - 217 = 1007132485451 is a prime.

It is a super-2 number, since 2×10071326165232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007132616527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126806986 + ... + 126814927.

It is an arithmetic number, because the mean of its divisors is an integer number (96629949234).

Almost surely, 21007132616523 is an apocalyptic number.

1007132616523 is a deficient number, since it is larger than the sum of its proper divisors (152426774285).

1007132616523 is a wasteful number, since it uses less digits than its factorization.

1007132616523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253621962 (or 253621943 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 1007132616523 in words is "one trillion, seven billion, one hundred thirty-two million, six hundred sixteen thousand, five hundred twenty-three".

Divisors: 1 11 19 209 361 3971 253621913 2789841043 4818816347 53006979817 91557510593 1007132616523