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203213302032 = 243131453224131
BaseRepresentation
bin1011110101000001110…
…1001110100100010000
3201102112021200100012210
42331100131032210100
511312140101131112
6233204354152120
720452546365336
oct2752035164420
9642467610183
10203213302032
117920067a614
1233473882640
1316216c67520
149b9ab6db56
1554455edb3c
hex2f5074e910

203213302032 has 80 divisors (see below), whose sum is σ = 565741443008. Its totient is φ = 62483857920.

The previous prime is 203213301979. The next prime is 203213302037. The reversal of 203213302032 is 230203312302.

It is a super-3 number, since 3×2032133020323 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (203213302037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794607 + ... + 1018737.

Almost surely, 2203213302032 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 203213302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282870721504).

203213302032 is an abundant number, since it is smaller than the sum of its proper divisors (362528140976).

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

203213302032 is a wasteful number, since it uses less digits than its factorization.

203213302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225608 (or 225602 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 203213302032 its reverse (230203312302), we get a palindrome (433416614334).

The spelling of 203213302032 in words is "two hundred three billion, two hundred thirteen million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1453 2906 4359 5812 8718 11624 17436 18889 23248 34872 37778 56667 69744 75556 113334 151112 224131 226668 302224 448262 453336 672393 896524 906672 1344786 1793048 2689572 2913703 3586096 5379144 5827406 8741109 10758288 11654812 17482218 23309624 34964436 46619248 69928872 139857744 325662343 651324686 976987029 1302649372 1953974058 2605298744 3907948116 4233610459 5210597488 7815896232 8467220918 12700831377 15631792464 16934441836 25401662754 33868883672 50803325508 67737767344 101606651016 203213302032