Search a number
-
+
10201545144263 = 1117283364310613
BaseRepresentation
bin1001010001110011101101…
…1110010111011111000111
31100010020222012222101210002
42110130323132113133013
52314120231024104023
633410305232551515
72102015540661134
oct224347336273707
940106865871702
1010201545144263
1132834a6309a50
1211891649b259b
13590003614b35
14273a8650558b
1512a573d7cb28
hex9473b7977c7

10201545144263 has 48 divisors (see below), whose sum is σ = 11968958445696. Its totient is φ = 8620251548160.

The previous prime is 10201545144223. The next prime is 10201545144313. The reversal of 10201545144263 is 36244154510201.

It is not a de Polignac number, because 10201545144263 - 234 = 10184365275079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201545144223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961225745 + ... + 961236357.

It is an arithmetic number, because the mean of its divisors is an integer number (249353300952).

Almost surely, 210201545144263 is an apocalyptic number.

10201545144263 is a deficient number, since it is larger than the sum of its proper divisors (1767413301433).

10201545144263 is a wasteful number, since it uses less digits than its factorization.

10201545144263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384 (or 14367 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 10201545144263 its reverse (36244154510201), we get a palindrome (46445699654464).

The spelling of 10201545144263 in words is "ten trillion, two hundred one billion, five hundred forty-five million, one hundred forty-four thousand, two hundred sixty-three".

Divisors: 1 11 17 83 187 289 913 1411 3179 3643 10613 15521 23987 40073 61931 116743 180421 263857 302369 681241 880879 1052827 1984631 3067157 3326059 5140273 9689669 11581097 14974943 33738727 38663159 56543003 87384641 164724373 254574031 425294749 657273703 961231051 2800314341 3209042197 7230010733 11173652951 35299464167 54553717349 122910182461 600090890839 927413194933 10201545144263