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200020132140 = 223543197393539
BaseRepresentation
bin1011101001001000100…
…0010000000100101100
3201010021202011111121020
42322102020100010230
511234120123212030
6231515445334140
720310454033203
oct2722210200454
9633252144536
10200020132140
1177912171834
1232922407350
1315b2854a79a
149976a4223a
15530a0ee510
hex2e9221012c

200020132140 has 96 divisors (see below), whose sum is σ = 575991440640. Its totient is φ = 51833677056.

The previous prime is 200020132111. The next prime is 200020132141. The reversal of 200020132140 is 41231020002.

It is a super-2 number, since 2×2000201321402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (200020132141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311491 + ... + 705029.

It is an arithmetic number, because the mean of its divisors is an integer number (5999910840).

Almost surely, 2200020132140 is an apocalyptic number.

200020132140 is a gapful number since it is divisible by the number (20) 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 200020132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287995720320).

200020132140 is an abundant number, since it is smaller than the sum of its proper divisors (375971308500).

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

200020132140 is a wasteful number, since it uses less digits than its factorization.

200020132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393791 (or 393789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 200020132140 its reverse (41231020002), we get a palindrome (241251152142).

The spelling of 200020132140 in words is "two hundred billion, twenty million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 197 215 258 394 430 516 591 645 788 860 985 1182 1290 1970 2364 2580 2955 3940 5910 8471 11820 16942 25413 33884 42355 50826 84710 101652 127065 169420 254130 393539 508260 787078 1180617 1574156 1967695 2361234 3935390 4722468 5903085 7870780 11806170 16922177 23612340 33844354 50766531 67688708 77527183 84610885 101533062 155054366 169221770 203066124 232581549 253832655 310108732 338443540 387635915 465163098 507665310 775271830 930326196 1015330620 1162907745 1550543660 2325815490 3333668869 4651630980 6667337738 10001006607 13334675476 16668344345 20002013214 33336688690 40004026428 50005033035 66673377380 100010066070 200020132140