Search a number
-
+
21004141431 = 3713293677229
BaseRepresentation
bin10011100011111100…
…011100001101110111
32000012210222221100010
4103203330130031313
5321004030011211
613352115351303
71342334153640
oct234374341567
960183887303
1021004141431
1189a9321379
1240a22b2533
131c99734b70
1410337d06c7
1582deb94a6
hex4e3f1c377

21004141431 has 64 divisors (see below), whose sum is σ = 35759001600. Its totient is φ = 10666446336.

The previous prime is 21004141391. The next prime is 21004141441. The reversal of 21004141431 is 13414140012.

It is not a de Polignac number, because 21004141431 - 27 = 21004141303 is a prime.

It is a super-2 number, since 2×210041414312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21004141398 and 21004141407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21004141441) 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, 2901925 + ... + 2909153.

It is an arithmetic number, because the mean of its divisors is an integer number (558734400).

Almost surely, 221004141431 is an apocalyptic number.

21004141431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21004141431 is a deficient number, since it is larger than the sum of its proper divisors (14754860169).

21004141431 is a wasteful number, since it uses less digits than its factorization.

21004141431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21004141431 its reverse (13414140012), we get a palindrome (34418281443).

The spelling of 21004141431 in words is "twenty-one billion, four million, one hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 29 39 87 91 203 273 367 377 609 1101 1131 2569 2639 4771 7229 7707 7917 10643 14313 21687 31929 33397 50603 74501 93977 100191 138359 151809 209641 223503 281931 415077 628923 657839 968513 1467487 1973517 2653043 2725333 2905539 4402461 7959129 8175999 18571301 19077331 34489559 55713903 57231993 76938247 103468677 230814741 241426913 538567729 724280739 1000197211 1615703187 3000591633 7001380477 21004141431