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2120312010 = 2353773137191
BaseRepresentation
bin111111001100001…
…0110010011001010
312110202202000021110
41332120112103022
513320244441020
6550221351150
7103354232445
oct17630262312
95422660243
102120312010
11998951883
124b21084b6
1327a3802bb
1416185665c
15c622a8e0
hex7e6164ca

2120312010 has 128 divisors (see below), whose sum is σ = 5364486144. Its totient is φ = 535818240.

The previous prime is 2120312009. The next prime is 2120312057. The reversal of 2120312010 is 102130212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11101015 + ... + 11101205.

It is an arithmetic number, because the mean of its divisors is an integer number (41910048).

Almost surely, 22120312010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682243072).

2120312010 is an abundant number, since it is smaller than the sum of its proper divisors (3244174134).

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

2120312010 is a wasteful number, since it uses less digits than its factorization.

2120312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

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

The square root of 2120312010 is about 46046.8458203165. The cubic root of 2120312010 is about 1284.6946763071.

Adding to 2120312010 its reverse (102130212), we get a palindrome (2222442222).

The spelling of 2120312010 in words is "two billion, one hundred twenty million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 73 74 111 137 146 185 191 219 222 274 365 370 382 411 438 555 573 685 730 822 955 1095 1110 1146 1370 1910 2055 2190 2701 2865 4110 5069 5402 5730 7067 8103 10001 10138 13505 13943 14134 15207 16206 20002 21201 25345 26167 27010 27886 30003 30414 35335 40515 41829 42402 50005 50690 52334 60006 69715 70670 76035 78501 81030 83658 100010 106005 130835 139430 150015 152070 157002 209145 212010 261670 300030 370037 392505 418290 515891 740074 785010 968179 1031782 1110111 1547673 1850185 1910191 1936358 2220222 2579455 2904537 3095346 3700370 3820382 4840895 5158910 5550555 5730573 5809074 7738365 9550955 9681790 11101110 11461146 14522685 15476730 19101910 28652865 29045370 57305730 70677067 141354134 212031201 353385335 424062402 706770670 1060156005 2120312010