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203431142112 = 25311375206571
BaseRepresentation
bin1011110101110101110…
…0001110001011100000
3201110002110120202121220
42331131130032023200
511313111333021422
6233242135215040
720461133114532
oct2753534161340
9643073522556
10203431142112
1179302638040
1233514817480
1316250129a93
149bbba77852
1554597cde5c
hex2f5d70e2e0

203431142112 has 96 divisors (see below), whose sum is σ = 598297601664. Its totient is φ = 59979686400.

The previous prime is 203431142111. The next prime is 203431142129. The reversal of 203431142112 is 211241134302.

203431142112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203431142111) 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, 2564214 + ... + 2642357.

It is an arithmetic number, because the mean of its divisors is an integer number (6232266684).

Almost surely, 2203431142112 is an apocalyptic number.

203431142112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

203431142112 is an abundant number, since it is smaller than the sum of its proper divisors (394866459552).

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

203431142112 is a wasteful number, since it uses less digits than its factorization.

203431142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206632 (or 5206624 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 203431142112 its reverse (211241134302), we get a palindrome (414672276414).

It can be divided in two parts, 203431 and 142112, that added together give a palindrome (345543).

The spelling of 203431142112 in words is "two hundred three billion, four hundred thirty-one million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 39072 5206571 10413142 15619713 20826284 31239426 41652568 57272281 62478852 83305136 114544562 124957704 166610272 171816843 192643127 229089124 249915408 343633686 385286254 458178248 499830816 577929381 687267372 770572508 916356496 1155858762 1374534744 1541145016 1832712992 2119074397 2311717524 2749069488 3082290032 4238148794 4623435048 5498138976 6164580064 6357223191 8476297588 9246870096 12714446382 16952595176 18493740192 25428892764 33905190352 50857785528 67810380704 101715571056 203431142112