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202434120400 = 24524991014199
BaseRepresentation
bin1011110010001000000…
…0111000101011010000
3201100111222111210221211
42330202000320223100
511304041113323100
6232555201425504
720424335426641
oct2744200705320
9640458453854
10202434120400
1178940868956
123329693b294
13161216c33c5
149b254a36c8
1553ebeda1ba
hex2f22038ad0

202434120400 has 60 divisors (see below), whose sum is σ = 487323100000. Its totient is φ = 80811296640.

The previous prime is 202434120377. The next prime is 202434120457. The reversal of 202434120400 is 4021434202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307500 + ... + 706699.

Almost surely, 2202434120400 is an apocalyptic number.

202434120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202434120400 is an abundant number, since it is smaller than the sum of its proper divisors (284888979600).

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

202434120400 is a wasteful number, since it uses less digits than its factorization.

202434120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014716 (or 1014705 counting only the distinct ones).

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

Adding to 202434120400 its reverse (4021434202), we get a palindrome (206455554602).

The spelling of 202434120400 in words is "two hundred two billion, four hundred thirty-four million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 499 998 1996 2495 3992 4990 7984 9980 12475 19960 24950 39920 49900 99800 199600 1014199 2028398 4056796 5070995 8113592 10141990 16227184 20283980 25354975 40567960 50709950 81135920 101419900 202839800 405679600 506085301 1012170602 2024341204 2530426505 4048682408 5060853010 8097364816 10121706020 12652132525 20243412040 25304265050 40486824080 50608530100 101217060200 202434120400