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203402104024 = 237192928123459
BaseRepresentation
bin1011110101101110110…
…1011100110011011000
3201110000102221110212011
42331123231130303120
511313031414312044
6233235220555304
720460331233430
oct2753355346330
9643012843764
10203402104024
1179298204319
1233506b52b34
1316247100892
149bb7c792c0
155456e95134
hex2f5bb5ccd8

203402104024 has 128 divisors (see below), whose sum is σ = 476331840000. Its totient is φ = 79449431040.

The previous prime is 203402104021. The next prime is 203402104063. The reversal of 203402104024 is 420401204302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 203402103986 and 203402104004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203402104021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8658807 + ... + 8682265.

It is an arithmetic number, because the mean of its divisors is an integer number (3721342500).

Almost surely, 2203402104024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203402104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238165920000).

203402104024 is an abundant number, since it is smaller than the sum of its proper divisors (272929735976).

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

203402104024 is a wasteful number, since it uses less digits than its factorization.

203402104024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23801 (or 23797 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 203402104024 its reverse (420401204302), we get a palindrome (623803308326).

The spelling of 203402104024 in words is "two hundred three billion, four hundred two million, one hundred four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 281 406 532 551 562 812 1064 1102 1124 1624 1967 2204 2248 3857 3934 4408 5339 7714 7868 8149 10678 15428 15736 16298 21356 23459 30856 32596 37373 42712 46918 57043 65192 74746 93836 114086 149492 154831 164213 187672 228172 298984 309662 328426 445721 456344 619324 656852 680311 891442 1083817 1238648 1313704 1360622 1782884 2167634 2721244 3120047 3565768 4335268 4762177 5442488 6240094 6591979 8670536 9524354 12480188 12925909 13183958 19048708 24960376 25851818 26367916 38097416 46143853 51703636 52735832 90481363 92287706 103407272 125247601 180962726 184575412 191167391 250495202 361925452 369150824 382334782 500990404 723850904 764669564 876733207 1001980808 1338171737 1529339128 1753466414 2676343474 3506932828 3632180429 5352686948 7013865656 7264360858 10705373896 14528721716 25425263003 29057443432 50850526006 101701052012 203402104024