Search a number
-
+
202131131013021 = 37294373311052893
BaseRepresentation
bin101101111101011001010010…
…010000110001011110011101
3222111200112210001121120100110
4231331121102100301132131
5202443204024014404041
61553521432031120233
760401330600121150
oct5575312220613635
9874615701546313
10202131131013021
1159450370a00071
121a80644a973079
1388a2b64b16842
1437cb2adc71c97
151857d64340516
hexb7d65243179d

202131131013021 has 64 divisors (see below), whose sum is σ = 326085146449920. Its totient is φ = 108912159256320.

The previous prime is 202131131013001. The next prime is 202131131013083. The reversal of 202131131013021 is 120310131131202.

It is not a de Polignac number, because 202131131013021 - 26 = 202131131012957 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202131131013001) 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, 191450451 + ... + 192503343.

It is an arithmetic number, because the mean of its divisors is an integer number (5095080413280).

Almost surely, 2202131131013021 is an apocalyptic number.

202131131013021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202131131013021 is a deficient number, since it is larger than the sum of its proper divisors (123954015436899).

202131131013021 is a wasteful number, since it uses less digits than its factorization.

202131131013021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060306.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 202131131013021 its reverse (120310131131202), we get a palindrome (322441262144223).

The spelling of 202131131013021 in words is "two hundred two trillion, one hundred thirty-one billion, one hundred thirty-one million, thirteen thousand, twenty-one".

Divisors: 1 3 7 21 29 43 87 129 203 301 609 903 1247 3741 7331 8729 21993 26187 51317 153951 212599 315233 637797 945699 1052893 1488193 2206631 3158679 4464579 6619893 7370251 9141757 22110753 27425271 30533897 45274399 63992299 91601691 135823197 191976897 213737279 316920793 641211837 950762379 1312957571 3938872713 7718758583 9190702997 23156275749 27572108991 54031310081 162093930243 223843998907 331906619069 671531996721 995719857207 1566907992349 2323346333483 4700723977047 6970039000449 9625291953001 28875875859003 67377043671007 202131131013021