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201053323352 = 23721938233229
BaseRepresentation
bin1011101100111110110…
…1100100000001011000
3201012221202022001111102
42323033231210001120
511243224122321402
6232210154250532
720345201023400
oct2731755440130
9635852261442
10201053323352
11782a23a5672
1232b70426a48
1315c6160932b
149a33d4d800
15536ab8a102
hex2ecfb64058

201053323352 has 96 divisors (see below), whose sum is σ = 441466322400. Its totient is φ = 85588586496.

The previous prime is 201053323319. The next prime is 201053323363. The reversal of 201053323352 is 253323350102.

201053323352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62263274 + ... + 62266502.

It is an arithmetic number, because the mean of its divisors is an integer number (4598607525).

Almost surely, 2201053323352 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 201053323352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220733161200).

201053323352 is an abundant number, since it is smaller than the sum of its proper divisors (240412999048).

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

201053323352 is a wasteful number, since it uses less digits than its factorization.

201053323352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

Adding to 201053323352 its reverse (253323350102), we get a palindrome (454376673454).

The spelling of 201053323352 in words is "two hundred one billion, fifty-three million, three hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 193 196 386 392 772 823 1351 1544 1646 2702 3229 3292 5404 5761 6458 6584 9457 10808 11522 12916 18914 22603 23044 25832 37828 40327 45206 46088 75656 80654 90412 158221 158839 161308 180824 316442 317678 322616 623197 632884 635356 1111873 1246394 1265768 1270712 2223746 2492788 2657467 4362379 4447492 4985576 5314934 7783111 8724758 8894984 10629868 15566222 17449516 18602269 21259736 30536653 31132444 34899032 37204538 61073306 62264888 74409076 122146612 130215883 148818152 244293224 260431766 512891131 520863532 1025782262 1041727064 2051564524 3590237917 4103129048 7180475834 14360951668 25131665419 28721903336 50263330838 100526661676 201053323352