Search a number
-
+
100101012111100 = 2252711131138849647
BaseRepresentation
bin10110110000101010010101…
…010001001011111011111100
3111010102120012122102102221201
4112300222111101023323330
5101110023333100023400
6552521434202505244
730041026253003050
oct2660522521137374
9433376178372851
10100101012111100
1129993667788330
12b2882b6505224
1343b163c5432a0
141aa0cb4453c60
15b88ccc7ce06a
hex5b0a9544befc

100101012111100 has 288 divisors, whose sum is σ = 294231963949056. Its totient is φ = 28545418137600.

The previous prime is 100101012111097. The next prime is 100101012111101. The reversal of 100101012111100 is 1111210101001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101012111101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6886477 + ... + 15736123.

It is an arithmetic number, because the mean of its divisors is an integer number (1021638763712).

Almost surely, 2100101012111100 is an apocalyptic number.

100101012111100 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 100101012111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147115981974528).

100101012111100 is an abundant number, since it is smaller than the sum of its proper divisors (194130951837956).

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

100101012111100 is a wasteful number, since it uses less digits than its factorization.

100101012111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849805 (or 8849798 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100101012111100 its reverse (1111210101001), we get a palindrome (101212222212101).

The spelling of 100101012111100 in words is "one hundred trillion, one hundred one billion, twelve million, one hundred eleven thousand, one hundred".