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4200133110 = 235733475527
BaseRepresentation
bin1111101001011000…
…1111000111110110
3101211201021212110120
43322112033013312
532100213224420
61532435232410
7206040354015
oct37226170766
911751255416
104200133110
111865958198
12992748706
1351c224484
142bbb6ca7c
15198b08d40
hexfa58f1f6

4200133110 has 64 divisors (see below), whose sum is σ = 10249708032. Its totient is φ = 1101309696.

The previous prime is 4200133097. The next prime is 4200133117. The reversal of 4200133110 is 113310024.

It is a super-2 number, since 2×42001331102 = 35282236283436544200, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4200133110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200133117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757167 + ... + 762693.

It is an arithmetic number, because the mean of its divisors is an integer number (160151688).

Almost surely, 24200133110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124854016).

4200133110 is an abundant number, since it is smaller than the sum of its proper divisors (6049574922).

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

4200133110 is a wasteful number, since it uses less digits than its factorization.

4200133110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4200133110 is about 64808.4339418875. The cubic root of 4200133110 is about 1613.4456905657.

Adding to 4200133110 its reverse (113310024), we get a palindrome (4313443134).

The spelling of 4200133110 in words is "four billion, two hundred million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 347 365 438 694 730 1041 1095 1735 2082 2190 3470 5205 5527 10410 11054 16581 25331 27635 33162 50662 55270 75993 82905 126655 151986 165810 253310 379965 403471 759930 806942 1210413 1917869 2017355 2420826 3835738 4034710 5753607 6052065 9589345 11507214 12104130 19178690 28768035 57536070 140004437 280008874 420013311 700022185 840026622 1400044370 2100066555 4200133110