Search a number
-
+
101212222100 = 225211195147161
BaseRepresentation
bin101111001000010110…
…1111111001010010100
3100200020122122121100112
41132100231333022110
53124240312101400
6114255105102152
710212063456503
oct1362055771224
9320218577315
10101212222100
1139a1872a550
1217747927958
13970c9c3022
144c8205283a
15297588b835
hex1790b7f294

101212222100 has 72 divisors (see below), whose sum is σ = 239724823296. Its totient is φ = 36784800000.

The previous prime is 101212222081. The next prime is 101212222123. The reversal of 101212222100 is 1222212101.

101212222100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2122520 + ... + 2169680.

Almost surely, 2101212222100 is an apocalyptic number.

101212222100 is a gapful number since it is divisible by the number (10) 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 101212222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119862411648).

101212222100 is an abundant number, since it is smaller than the sum of its proper divisors (138512601196).

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

101212222100 is a wasteful number, since it uses less digits than its factorization.

101212222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49137 (or 49130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101212222100 its reverse (1222212101), we get a palindrome (102434434201).

Subtracting from 101212222100 its reverse (1222212101), we obtain a palindrome (99990009999).

The spelling of 101212222100 in words is "one hundred one billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1951 3902 7804 9755 19510 21461 39020 42922 47161 48775 85844 94322 97550 107305 188644 195100 214610 235805 429220 471610 518771 536525 943220 1037542 1073050 1179025 2075084 2146100 2358050 2593855 4716100 5187710 10375420 12969275 25938550 51877100 92011111 184022222 368044444 460055555 920111110 1012122221 1840222220 2024244442 2300277775 4048488884 4600555550 5060611105 9201111100 10121222210 20242444420 25303055525 50606111050 101212222100