Search a number
-
+
100121200222020 = 223541127842338047
BaseRepresentation
bin10110110000111101001000…
…100100101101111101000100
3111010111111022120220201212120
4112300331020210231331010
5101110341204224101040
6552535013332045540
730042342451056225
oct2660751044557504
9433444276821776
10100121200222020
11299a118740991a
12b2901ab4638b0
1343b3508ba1853
141aa1c6b70524c
15b895aed067d0
hex5b0f4892df44

100121200222020 has 192 divisors, whose sum is σ = 289480112603136. Its totient is φ = 25838943943680.

The previous prime is 100121200221989. The next prime is 100121200222093. The reversal of 100121200222020 is 20222002121001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2631494637 + ... + 2631532683.

It is an arithmetic number, because the mean of its divisors is an integer number (1507708919808).

Almost surely, 2100121200222020 is an apocalyptic number.

100121200222020 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 100121200222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144740056301568).

100121200222020 is an abundant number, since it is smaller than the sum of its proper divisors (189358912381116).

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

100121200222020 is a wasteful number, since it uses less digits than its factorization.

100121200222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46650 (or 46648 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100121200222020 its reverse (20222002121001), we get a palindrome (120343202343021).

The spelling of 100121200222020 in words is "one hundred trillion, one hundred twenty-one billion, two hundred million, two hundred twenty-two thousand, twenty".