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2010121320 = 2335109227677
BaseRepresentation
bin111011111010000…
…0000010001101000
312012002101202001210
41313310000101220
513104042340240
6531243513120
7100545515004
oct16764002150
95162352053
102010121320
1194172a999
124812287a0
132605ac1cc
14150d71704
15bb711780
hex77d00468

2010121320 has 128 divisors (see below), whose sum is σ = 6121526400. Its totient is φ = 527993856.

The previous prime is 2010121319. The next prime is 2010121339. The reversal of 2010121320 is 231210102.

It is a super-2 number, since 2×20101213202 = 8081175442237084800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010121296 and 2010121305.

It is an unprimeable number.

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, 2968822 + ... + 2969498.

It is an arithmetic number, because the mean of its divisors is an integer number (47824425).

Almost surely, 22010121320 is an apocalyptic number.

2010121320 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 2010121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060763200).

2010121320 is an abundant number, since it is smaller than the sum of its proper divisors (4111405080).

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

2010121320 is a wasteful number, since it uses less digits than its factorization.

2010121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2010121320 is about 44834.3765430055. The cubic root of 2010121320 is about 1262.0428187464.

Adding to 2010121320 its reverse (231210102), we get a palindrome (2241331422).

The spelling of 2010121320 in words is "two billion, ten million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 227 327 436 454 545 654 677 681 872 908 1090 1135 1308 1354 1362 1635 1816 2031 2180 2270 2616 2708 2724 3270 3385 3405 4062 4360 4540 5416 5448 6540 6770 6810 8124 9080 10155 13080 13540 13620 16248 20310 24743 27080 27240 40620 49486 73793 74229 81240 98972 123715 147586 148458 153679 197944 221379 247430 295172 296916 307358 368965 371145 442758 461037 494860 590344 593832 614716 737930 742290 768395 885516 922074 989720 1106895 1229432 1475860 1484580 1536790 1771032 1844148 2213790 2305185 2951720 2969160 3073580 3688296 4427580 4610370 6147160 8855160 9220740 16751011 18441480 33502022 50253033 67004044 83755055 100506066 134008088 167510110 201012132 251265165 335020220 402024264 502530330 670040440 1005060660 2010121320