Search a number
-
+
1011243222100 = 225231635351347
BaseRepresentation
bin11101011011100101100…
…10110000010001010100
310120200012021112021201101
432231302302300101110
5113032011231101400
62052320403435444
7133026356364136
oct16556262602124
93520167467641
101011243222100
1135a958488091
12143b9b385b84
137448a701797
1436d3174b056
151b48884b56a
hexeb72cb0454

1011243222100 has 72 divisors (see below), whose sum is σ = 2265585493248. Its totient is φ = 391379750400.

The previous prime is 1011243222083. The next prime is 1011243222113. The reversal of 1011243222100 is 12223421101.

It is a super-2 number, since 2×10112432221002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19668627 + ... + 19719973.

It is an arithmetic number, because the mean of its divisors is an integer number (31466465184).

Almost surely, 21011243222100 is an apocalyptic number.

1011243222100 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 1011243222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132792746624).

1011243222100 is an abundant number, since it is smaller than the sum of its proper divisors (1254342271148).

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

1011243222100 is a wasteful number, since it uses less digits than its factorization.

1011243222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57745 (or 57738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1011243222100 its reverse (12223421101), we get a palindrome (1023466643201).

The spelling of 1011243222100 in words is "one trillion, eleven billion, two hundred forty-three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 6353 12706 25412 31765 51347 63530 102694 127060 158825 196943 205388 256735 317650 393886 513470 635300 787772 984715 1026940 1283675 1591757 1969430 2567350 3183514 3938860 4923575 5134700 6367028 7958785 9847150 15917570 19694300 31835140 39793925 79587850 159175700 326207491 652414982 1304829964 1631037455 3262074910 6524149820 8155187275 10112432221 16310374550 20224864442 32620749100 40449728884 50562161105 101124322210 202248644420 252810805525 505621611050 1011243222100