Search a number
-
+
101035104464 = 2471508359809
BaseRepresentation
bin101111000011000101…
…0010101100011010000
3100122210022101002122002
41132012022111203100
53123404441320324
6114225340533132
710204513134530
oct1360612254320
9318708332562
10101035104464
1139937756438
12176b85511a8
1396b20bb0a8
144c667094c0
1529650523ae
hex17862958d0

101035104464 has 40 divisors (see below), whose sum is σ = 223739161920. Its totient is φ = 43297164288.

The previous prime is 101035104449. The next prime is 101035104479. The reversal of 101035104464 is 464401530101.

It is an interprime number because it is at equal distance from previous prime (101035104449) and next prime (101035104479).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1659392 + ... + 1719200.

It is an arithmetic number, because the mean of its divisors is an integer number (5593479048).

Almost surely, 2101035104464 is an apocalyptic number.

101035104464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101035104464 is an abundant number, since it is smaller than the sum of its proper divisors (122704057456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101035104464 is a wasteful number, since it uses less digits than its factorization.

101035104464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74907 (or 74901 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 101035104464 its reverse (464401530101), we get a palindrome (565436634565).

The spelling of 101035104464 in words is "one hundred one billion, thirty-five million, one hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 15083 30166 59809 60332 105581 119618 120664 211162 239236 241328 418663 422324 478472 837326 844648 956944 1674652 1689296 3349304 6698608 902099147 1804198294 3608396588 6314694029 7216793176 12629388058 14433586352 25258776116 50517552232 101035104464