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2100033312 = 253134339133
BaseRepresentation
bin111110100101011…
…1111011100100000
312102100120202010120
41331022333130200
513300102031222
6544215000240
7103016663046
oct17512773440
95370522116
102100033312
11988461123
124a7369080
13276100080
1415cc98396
15c457215c
hex7d2bf720

2100033312 has 96 divisors (see below), whose sum is σ = 6074849088. Its totient is φ = 631120896.

The previous prime is 2100033259. The next prime is 2100033317. The reversal of 2100033312 is 2133300012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2100033291 and 2100033300.

It is not an unprimeable number, because it can be changed into a prime (2100033317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34098 + ... + 73230.

It is an arithmetic number, because the mean of its divisors is an integer number (63279678).

Almost surely, 22100033312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037424544).

2100033312 is an abundant number, since it is smaller than the sum of its proper divisors (3974815776).

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

2100033312 is a wasteful number, since it uses less digits than its factorization.

2100033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39202 (or 39194 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2100033312 is about 45826.1204118350. The cubic root of 2100033312 is about 1280.5859361665.

Adding to 2100033312 its reverse (2133300012), we get a palindrome (4233333324).

The spelling of 2100033312 in words is "two billion, one hundred million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 13416 17888 26832 39133 53664 78266 117399 156532 234798 313064 469596 508729 626128 939192 1017458 1252256 1526187 1682719 1878384 2034916 3052374 3365438 3756768 4069832 5048157 6104748 6730876 8139664 10096314 12209496 13461752 16279328 20192628 21875347 24418992 26923504 40385256 43750694 48837984 53847008 65626041 80770512 87501388 131252082 161541024 175002776 262504164 350005552 525008328 700011104 1050016656 2100033312