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21142422401001 = 3116119354799487
BaseRepresentation
bin1001100111010100110101…
…00100111010111111101001
32202212012021202202112100120
410303222122210322333221
510232344140113313001
6112544410022553453
74311326636142546
oct463523244727751
982765252675316
1021142422401001
1168114a6299870
122455662598889
13ba494cc71425
14531427903bcd
15269e69d1c236
hex133a9a93afe9

21142422401001 has 64 divisors (see below), whose sum is σ = 31476462329856. Its totient is φ = 12515179622400.

The previous prime is 21142422400993. The next prime is 21142422401017. The reversal of 21142422401001 is 10010422424112.

It is a happy number.

It is not a de Polignac number, because 21142422401001 - 23 = 21142422400993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21142422401021) 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, 212464680 + ... + 212564166.

It is an arithmetic number, because the mean of its divisors is an integer number (491819723904).

Almost surely, 221142422401001 is an apocalyptic number.

It is an amenable number.

21142422401001 is a deficient number, since it is larger than the sum of its proper divisors (10334039928855).

21142422401001 is a wasteful number, since it uses less digits than its factorization.

21142422401001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100302.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 21142422401001 its reverse (10010422424112), we get a palindrome (31152844825113).

The spelling of 21142422401001 in words is "twenty-one trillion, one hundred forty-two billion, four hundred twenty-two million, four hundred one thousand, one".

Divisors: 1 3 11 33 61 183 193 547 579 671 1641 2013 2123 6017 6369 11773 18051 33367 35319 99487 100101 105571 129503 298461 316713 367037 388509 1094357 1101111 1161281 3283071 3483843 6068707 6439831 18206121 19200991 19319493 54419389 57602973 66755777 70838141 163258167 200267331 211210901 212514423 598613279 633632703 1171260451 1795839837 3319582729 3513781353 9958748187 10502942077 12883864961 31508826231 36515410019 38651594883 109546230057 115532362847 346597088541 640679466697 1922038400091 7047474133667 21142422401001