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201200010 = 235112431289
BaseRepresentation
bin10111111111000…
…01000110001010
3112000121000112020
423333201012022
5403001400020
631544225310
74662112644
oct1377410612
9460530466
10201200010
11a3632600
125746b236
13328b757b
141ca15894
15129e4c40
hexbfe118a

201200010 has 96 divisors (see below), whose sum is σ = 543533760. Its totient is φ = 47604480.

The previous prime is 201200009. The next prime is 201200017. The reversal of 201200010 is 10002102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155446 + ... + 156734.

It is an arithmetic number, because the mean of its divisors is an integer number (5661810).

Almost surely, 2201200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271766880).

201200010 is an abundant number, since it is smaller than the sum of its proper divisors (342333750).

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

201200010 is a wasteful number, since it uses less digits than its factorization.

201200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 201200010 is about 14184.4989336952. The cubic root of 201200010 is about 585.9708329979.

Adding to 201200010 its reverse (10002102), we get a palindrome (211202112).

The spelling of 201200010 in words is "two hundred one million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 121 129 165 215 242 258 330 363 430 473 605 645 726 946 1210 1289 1290 1419 1815 2365 2578 2838 3630 3867 4730 5203 6445 7095 7734 10406 12890 14179 14190 15609 19335 26015 28358 31218 38670 42537 52030 55427 70895 78045 85074 110854 141790 155969 156090 166281 212685 277135 311938 332562 425370 467907 554270 609697 779845 831405 935814 1219394 1559690 1662810 1829091 2339535 3048485 3658182 4679070 6096970 6706667 9145455 13413334 18290910 20120001 33533335 40240002 67066670 100600005 201200010