Search a number
-
+
423101242101324 = 2231011453240257009
BaseRepresentation
bin110000000110011101110111…
…1001111010100111001001100
32001111002002021000212112012010
41200030323233033110321030
5420424042320434220244
64055510005522141220
7155056025126614443
oct14014735717247114
92044062230775163
10423101242101324
111128a4257a37626
123b553a31ab1810
13152113782b66c7
14766a2d078bd5a
1533dac7a9e7eb9
hex180ceef3d4e4c

423101242101324 has 48 divisors (see below), whose sum is σ = 997697025894240. Its totient is φ = 139541270246400.

The previous prime is 423101242101203. The next prime is 423101242101401.

It is a happy number.

423101242101324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4231012421013242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423101242101291 and 423101242101300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118367469 + ... + 121889540.

It is an arithmetic number, because the mean of its divisors is an integer number (20785354706130).

Almost surely, 2423101242101324 is an apocalyptic number.

It is an amenable number.

423101242101324 is an abundant number, since it is smaller than the sum of its proper divisors (574595783792916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423101242101324 is a wasteful number, since it uses less digits than its factorization.

423101242101324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240258570 (or 240258568 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 423101242101324 in words is "four hundred twenty-three trillion, one hundred one billion, two hundred forty-two million, one hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 1453 2906 4359 5812 8718 17436 146753 293506 440259 587012 880518 1761036 240257009 480514018 720771027 961028036 1441542054 2883084108 24265957909 48531915818 72797873727 97063831636 145595747454 291191494908 349093434077 698186868154 1047280302231 1396373736308 2094560604462 4189121208924 35258436841777 70516873683554 105775310525331 141033747367108 211550621050662 423101242101324