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202430304203140 = 225131025375936613
BaseRepresentation
bin101110000001101111111010…
…010111111011000110000100
3222112202010222221202022011101
4232001233322113323012010
5203013104230334000030
61554311110430545444
760432051435226216
oct5601577227730604
9875663887668141
10202430304203140
1159556234414912
121a854423368284
1388c5132566620
1437db97126a5b6
151860a2412d7ca
hexb81bfa5fb184

202430304203140 has 48 divisors (see below), whose sum is σ = 457848575494128. Its totient is φ = 74736206037504.

The previous prime is 202430304203117. The next prime is 202430304203143. The reversal of 202430304203140 is 41302403034202.

It can be written as a sum of positive squares in 8 ways, for example, as 26166232706436 + 176264071496704 = 5115294^2 + 13276448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202430304203099 and 202430304203108.

It is not an unprimeable number, because it can be changed into a prime (202430304203143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35302527 + ... + 40634086.

It is an arithmetic number, because the mean of its divisors is an integer number (9538511989461).

Almost surely, 2202430304203140 is an apocalyptic number.

202430304203140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202430304203140 is an abundant number, since it is smaller than the sum of its proper divisors (255418271290988).

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

202430304203140 is a wasteful number, since it uses less digits than its factorization.

202430304203140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75946888 (or 75946886 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 202430304203140 its reverse (41302403034202), we get a palindrome (243732707237342).

The spelling of 202430304203140 in words is "two hundred two trillion, four hundred thirty billion, three hundred four million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 10253 20506 41012 51265 102530 133289 205060 266578 533156 666445 1332890 2665780 75936613 151873226 303746452 379683065 759366130 987175969 1518732260 1974351938 3948703876 4935879845 9871759690 19743519380 778578093089 1557156186178 3114312372356 3892890465445 7785780930890 10121515210157 15571561861780 20243030420314 40486060840628 50607576050785 101215152101570 202430304203140