Search a number
-
+
101424320222121 = 33131229588139979
BaseRepresentation
bin10111000011111010110000…
…100101000001001110101001
3111022010001220021002121122000
4113003322300211001032221
5101243214001434101441
6555413404532121213
730235444130235051
oct2703726045011651
9438101807077560
10101424320222121
112a3538a3703296
12b460867766209
1344793704a74a0
141b08d6b3b2561
15bad42cac62b6
hex5c3eb09413a9

101424320222121 has 64 divisors (see below), whose sum is σ = 161979833568000. Its totient is φ = 62352017118720.

The previous prime is 101424320222089. The next prime is 101424320222129. The reversal of 101424320222121 is 121222023424101.

101424320222121 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 432 + 0 + 2 + 221 + 2 + 1 = 666.

It is not a de Polignac number, because 101424320222121 - 25 = 101424320222089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101424320222129) 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, 2536919910 + ... + 2536959888.

It is an arithmetic number, because the mean of its divisors is an integer number (2530934899500).

Almost surely, 2101424320222121 is an apocalyptic number.

It is an amenable number.

101424320222121 is a deficient number, since it is larger than the sum of its proper divisors (60555513345879).

101424320222121 is a wasteful number, since it uses less digits than its factorization.

101424320222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47111 (or 47105 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101424320222121 its reverse (121222023424101), we get a palindrome (222646343646222).

The spelling of 101424320222121 in words is "one hundred one trillion, four hundred twenty-four billion, three hundred twenty million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 1229 3687 5881 11061 15977 17643 33183 39979 47931 52929 76453 119937 143793 158787 229359 359811 431379 519727 688077 1079433 1559181 2064231 4677543 7227749 14032629 21683247 49134191 65049741 93960737 147402573 195149223 235116499 281882211 442207719 638744483 705349497 845646633 1326623157 1916233449 2116048491 2536939899 3056514487 5748700347 6348145473 9169543461 17246101041 27508630383 82525891149 288958177271 866874531813 2600623595439 3756456304523 7801870786317 11269368913569 33808106740707 101424320222121