Search a number
-
+
10100013344043 = 37210313738312713
BaseRepresentation
bin1001001011111001011110…
…1101010010010100101011
31022202112220021222112122220
42102332113231102110223
52310434311404002133
633251514310045123
72061462513630600
oct222762755222453
938675807875586
1010100013344043
113244434253757
12117154a0497a3
1358357265a93c
1426cbb3c646a7
15127ad04165b3
hex92f97b5252b

10100013344043 has 96 divisors (see below), whose sum is σ = 15975729709056. Its totient is φ = 5658425644032.

The previous prime is 10100013344027. The next prime is 10100013344059. The reversal of 10100013344043 is 34044331000101.

It is an interprime number because it is at equal distance from previous prime (10100013344027) and next prime (10100013344059).

It is not a de Polignac number, because 10100013344043 - 24 = 10100013344027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100013344023) 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, 794457055 + ... + 794469767.

It is an arithmetic number, because the mean of its divisors is an integer number (166413851136).

Almost surely, 210100013344043 is an apocalyptic number.

10100013344043 is a deficient number, since it is larger than the sum of its proper divisors (5875716365013).

10100013344043 is a wasteful number, since it uses less digits than its factorization.

10100013344043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13353 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10100013344043 its reverse (34044331000101), we get a palindrome (44144344344144).

The spelling of 10100013344043 in words is "ten trillion, one hundred billion, thirteen million, three hundred forty-four thousand, forty-three".

Divisors: 1 3 7 21 49 103 137 147 309 383 411 721 959 1149 2163 2681 2877 5047 6713 8043 12713 14111 15141 18767 20139 38139 39449 42333 52471 56301 88991 98777 118347 157413 266973 276143 296331 367297 622937 691439 828429 1101891 1309439 1741681 1868811 1933001 2074317 2571079 3928317 4869079 5225043 5404513 5799003 7713237 9166073 12191767 14607237 16213539 27498219 34083553 36575301 37831591 64162511 85342369 102250659 113494773 179393143 192487533 238584871 256027107 264821137 501515137 538179429 667063823 715754613 794463411 1255752001 1504545411 2001191469 3510605959 3767256003 4669446761 8790264007 10531817877 14008340283 24574241713 26370792021 32686127327 68707573769 73722725139 98058381981 206122721307 480953016383 1442859049149 3366671114681 10100013344043