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202500012 = 2231113199593
BaseRepresentation
bin11000001000111…
…10011110101100
3112010001001210110
430010132132230
5403320000022
632032140020
75006136021
oct1404363654
9463031713
10202500012
11a4340290
1257997610
1332c511c0
141cc73548
1512ba000c
hexc11e7ac

202500012 has 96 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 56263680.

The previous prime is 202499959. The next prime is 202500031. The reversal of 202500012 is 210005202.

202500012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341188 + ... + 341780.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2202500012 is an apocalyptic number.

202500012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202500012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

202500012 is an abundant number, since it is smaller than the sum of its proper divisors (356335188).

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

202500012 is a wasteful number, since it uses less digits than its factorization.

202500012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 202500012 is about 14230.2498923947. The cubic root of 202500012 is about 587.2301577749.

Adding to 202500012 its reverse (210005202), we get a palindrome (412505214).

It can be divided in two parts, 2025000 and 12, that multiplied together give a 5-th power (24300000 = 305).

The spelling of 202500012 in words is "two hundred two million, five hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 199 286 398 429 572 593 597 796 858 1186 1194 1716 1779 2189 2372 2388 2587 3558 4378 5174 6523 6567 7116 7709 7761 8756 10348 13046 13134 15418 15522 19569 23127 26092 26268 28457 30836 31044 39138 46254 56914 78276 84799 85371 92508 113828 118007 169598 170742 236014 254397 339196 341484 354021 472028 508794 708042 1017588 1298077 1416084 1534091 2596154 3068182 3894231 4602273 5192308 6136364 7788462 9204546 15576924 16875001 18409092 33750002 50625003 67500004 101250006 202500012