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110101011020 = 22571113171013203
BaseRepresentation
bin110011010001010001…
…0000001101001001100
3101112012010110212102222
41212202202001221030
53300441324323040
6122325114434512
710645256103140
oct1464242015114
9345163425388
10110101011020
114276a1721a0
1219408732a38
13a4c8405940
145486799220
152ce5debbb5
hex19a2881a4c

110101011020 has 384 divisors, whose sum is σ = 332057843712. Its totient is φ = 29509632000.

The previous prime is 110101011011. The next prime is 110101011043. The reversal of 110101011020 is 20110101011.

It is a happy number.

It is a super-2 number, since 2×1101010110202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110101010989 and 110101011007.

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, 34372739 + ... + 34375941.

It is an arithmetic number, because the mean of its divisors is an integer number (864733968).

Almost surely, 2110101011020 is an apocalyptic number.

110101011020 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 110101011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166028921856).

110101011020 is an abundant number, since it is smaller than the sum of its proper divisors (221956832692).

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

110101011020 is a wasteful number, since it uses less digits than its factorization.

110101011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110101011020 its reverse (20110101011), we get a palindrome (130211112031).

The spelling of 110101011020 in words is "one hundred ten billion, one hundred one million, eleven thousand, twenty".