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203413342032 = 24323074999221
BaseRepresentation
bin1011110101110001100…
…0010100011101010000
3201110001020002102111200
42331130120110131100
511313042303421112
6233240301511200
720460525610335
oct2753430243520
9643036072450
10203413342032
11792a358a62a
123350a872500
1316249536aa4
149bb956298c
155457e64cdc
hex2f5c614750

203413342032 has 120 divisors (see below), whose sum is σ = 572335764000. Its totient is φ = 67440833280.

The previous prime is 203413342021. The next prime is 203413342037. The reversal of 203413342032 is 230243314302.

203413342032 is a `hidden beast` number, since 203 + 4 + 1 + 3 + 3 + 420 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 203413341987 and 203413342005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203413342037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22055182 + ... + 22064402.

It is an arithmetic number, because the mean of its divisors is an integer number (4769464700).

Almost surely, 2203413342032 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 203413342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286167882000).

203413342032 is an abundant number, since it is smaller than the sum of its proper divisors (368922421968).

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

203413342032 is a wasteful number, since it uses less digits than its factorization.

203413342032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 203413342032 its reverse (230243314302), we get a palindrome (433656656334).

The spelling of 203413342032 in words is "two hundred three billion, four hundred thirteen million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 499 614 921 998 1228 1497 1842 1996 2456 2763 2994 3684 3992 4491 4912 5526 5988 7368 7984 8982 9221 11052 11976 14736 17964 18442 22104 23952 27663 35928 36884 44208 55326 71856 73768 82989 110652 147536 153193 165978 221304 306386 331956 442608 459579 612772 663912 919158 1225544 1327824 1378737 1838316 2451088 2757474 2830847 3676632 4601279 5514948 5661694 7353264 8492541 9202558 11029896 11323388 13803837 16985082 18405116 22059792 22646776 25477623 27607674 33970164 36810232 41411511 45293552 50955246 55215348 67940328 73620464 82823022 101910492 110430696 135880656 165646044 203820984 220861392 331292088 407641968 662584176 1412592653 2825185306 4237777959 5650370612 8475555918 11300741224 12713333877 16951111836 22601482448 25426667754 33902223672 50853335508 67804447344 101706671016 203413342032