Search a number
-
+
101000020022112 = 2535991756399903
BaseRepresentation
bin10110111101101111100110…
…010100001101001101100000
3111020121111201001102011221110
4112331233212110031031200
5101214241020111201422
6554450434010223320
730163003436111631
oct2675574624151540
9436544631364843
10101000020022112
112a1aa960267a72
12b3b2592424b40
134448351601c93
141ad25d9b8b888
15ba2397b8d60c
hex5bdbe650d360

101000020022112 has 48 divisors (see below), whose sum is σ = 265567665484800. Its totient is φ = 33610468524672.

The previous prime is 101000020022087. The next prime is 101000020022113. The reversal of 101000020022112 is 211220020000101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000020022113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878142448 + ... + 878257455.

It is an arithmetic number, because the mean of its divisors is an integer number (5532659697600).

Almost surely, 2101000020022112 is an apocalyptic number.

101000020022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000020022112 is an abundant number, since it is smaller than the sum of its proper divisors (164567645462688).

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

101000020022112 is a wasteful number, since it uses less digits than its factorization.

101000020022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756400515 (or 1756400507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101000020022112 its reverse (211220020000101), we get a palindrome (312220040022213).

The spelling of 101000020022112 in words is "one hundred one trillion, twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 599 1198 1797 2396 3594 4792 7188 9584 14376 19168 28752 57504 1756399903 3512799806 5269199709 7025599612 10538399418 14051199224 21076798836 28102398448 42153597672 56204796896 84307195344 168614390688 1052083541897 2104167083794 3156250625691 4208334167588 6312501251382 8416668335176 12625002502764 16833336670352 25250005005528 33666673340704 50500010011056 101000020022112