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1010110220010 = 2335191072636997
BaseRepresentation
bin11101011001011110100…
…00101100011011101010
310120120021022120211001000
432230233100230123222
5113022201204020020
62052012131335430
7132656321130063
oct16545720543352
93516238524030
101010110220010
1135a426981921
12143923a51576
1374339a67548
1436c6509b56a
151b41e147090
hexeb2f42c6ea

1010110220010 has 256 divisors, whose sum is σ = 2873188454400. Its totient is φ = 251803613952.

The previous prime is 1010110219969. The next prime is 1010110220017. The reversal of 1010110220010 is 100220110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010110219974 and 1010110220001.

It is not an unprimeable number, because it can be changed into a prime (1010110220017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144359832 + ... + 144366828.

It is an arithmetic number, because the mean of its divisors is an integer number (11223392400).

Almost surely, 21010110220010 is an apocalyptic number.

1010110220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010110220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436594227200).

1010110220010 is an abundant number, since it is smaller than the sum of its proper divisors (1863078234390).

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

1010110220010 is a wasteful number, since it uses less digits than its factorization.

1010110220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010110220010 its reverse (100220110101), we get a palindrome (1110330330111).

The spelling of 1010110220010 in words is "one trillion, ten billion, one hundred ten million, two hundred twenty thousand, ten".