Search a number
-
+
2100320012 = 2271729712143
BaseRepresentation
bin111110100110000…
…0101011100001100
312102101010022102002
41331030011130030
513300140220022
6544225051432
7103022265650
oct17514053414
95371108362
102100320012
1198863756a
124a7486b78
132761a070b
1415cd30a60
15c45cc092
hex7d30570c

2100320012 has 96 divisors (see below), whose sum is σ = 4668088320. Its totient is φ = 806077440.

The previous prime is 2100320009. The next prime is 2100320023. The reversal of 2100320012 is 2100230012.

It is a happy number.

It is a super-2 number, since 2×21003200122 = 8822688305615360288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100319975 and 2100320002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979013 + ... + 981155.

It is an arithmetic number, because the mean of its divisors is an integer number (48625920).

Almost surely, 22100320012 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 2100320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334044160).

2100320012 is an abundant number, since it is smaller than the sum of its proper divisors (2567768308).

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

2100320012 is a wasteful number, since it uses less digits than its factorization.

2100320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2100320012 is about 45829.2484337241. The cubic root of 2100320012 is about 1280.6442094138.

Adding to 2100320012 its reverse (2100230012), we get a palindrome (4200550024).

Subtracting from 2100320012 its reverse (2100230012), we obtain a square (90000 = 3002).

The spelling of 2100320012 in words is "two billion, one hundred million, three hundred twenty thousand, twelve".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 71 116 119 142 203 238 284 406 476 493 497 812 986 994 1207 1972 1988 2059 2143 2414 3451 4118 4286 4828 6902 8236 8449 8572 13804 14413 15001 16898 28826 30002 33796 35003 36431 57652 60004 62147 70006 72862 124294 140012 145724 152153 245021 248588 255017 304306 435029 490042 510034 608612 870058 980084 1020068 1056499 1065071 1740116 2112998 2130142 2586601 4225996 4260284 4412437 5173202 7395493 8824874 10346404 14790986 17649748 18106207 29581972 30887059 36212414 61774118 72424828 75011429 123548236 150022858 300045716 525080003 1050160006 2100320012