Search a number
-
+
100000100211000 = 2335311191161713729
BaseRepresentation
bin10110101111001100010110…
…011100110101100100111000
3111010001220201220212202221020
4112233030112130311210320
5101101400201123223000
6552403224542342440
730030524464003503
oct2657142634654470
9433056656782836
10100000100211000
1129954893632190
12b27083328aa20
1343a4c79b317b2
141a9a06025a13a
15b863734b6ba0
hex5af316735938

100000100211000 has 512 divisors, whose sum is σ = 358334810496000. Its totient is φ = 22962880512000.

The previous prime is 100000100210971. The next prime is 100000100211029. The reversal of 100000100211000 is 112001000001.

It is an interprime number because it is at equal distance from previous prime (100000100210971) and next prime (100000100211029).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 100000100211000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7283852136 + ... + 7283865864.

It is an arithmetic number, because the mean of its divisors is an integer number (699872676750).

Almost surely, 2100000100211000 is an apocalyptic number.

100000100211000 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 100000100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179167405248000).

100000100211000 is an abundant number, since it is smaller than the sum of its proper divisors (258334710285000).

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

100000100211000 is a wasteful number, since it uses less digits than its factorization.

100000100211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25400 (or 25386 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100000100211000 its reverse (112001000001), we get a palindrome (100112101211001).

The spelling of 100000100211000 in words is "one hundred trillion, one hundred million, two hundred eleven thousand".