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202421114324 = 2211131753392767
BaseRepresentation
bin1011110010000100111…
…1010001010111010100
3201100111002001000222022
42330201033101113110
511304024301124244
6232554014552312
720424120040232
oct2744117212724
9640432030868
10202421114324
1178934495230
1233292508698
131611babb4c0
149b23879952
1553eacbb6ee
hex2f213d15d4

202421114324 has 96 divisors (see below), whose sum is σ = 448962103296. Its totient is φ = 78427514880.

The previous prime is 202421114323. The next prime is 202421114333. The reversal of 202421114324 is 423411124202.

202421114324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 202421114293 and 202421114302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202421114323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318989 + ... + 711755.

It is an arithmetic number, because the mean of its divisors is an integer number (4676688576).

Almost surely, 2202421114324 is an apocalyptic number.

It is an amenable number.

202421114324 is an abundant number, since it is smaller than the sum of its proper divisors (246540988972).

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

202421114324 is a wasteful number, since it uses less digits than its factorization.

202421114324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392865 (or 392863 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 202421114324 its reverse (423411124202), we get a palindrome (625832238526).

The spelling of 202421114324 in words is "two hundred two billion, four hundred twenty-one million, one hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 53 68 106 143 187 212 221 286 374 442 572 583 689 748 884 901 1166 1378 1802 2332 2431 2756 3604 4862 7579 9724 9911 11713 15158 19822 23426 30316 39644 46852 128843 257686 392767 515372 785534 1571068 4320437 5105971 6677039 8640874 10211942 13354078 17281748 20423884 20816651 26708156 41633302 56165681 73447429 83266604 86801507 112331362 146894858 173603014 224662724 228983161 270616463 293789716 347206028 353883067 457966322 541232926 707766134 915932644 954816577 1082465852 1415532268 1909633154 2976781093 3819266308 3892713737 4600479871 5953562186 7785427474 9200959742 11907124372 15570854948 18401919484 50605278581 101210557162 202421114324