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101010010020 = 2235311571911811
BaseRepresentation
bin101111000010010101…
…0100110111110100100
3100122201120011011112020
41132010222212332210
53123332030310040
6114223043023140
710204056630063
oct1360452467644
9318646134466
10101010010020
1139924576627
12176b006aab0
1396a9b42bca
144c632561da
152962c46cd0
hex1784aa6fa4

101010010020 has 192 divisors, whose sum is σ = 295512440832. Its totient is φ = 25751232000.

The previous prime is 101010010007. The next prime is 101010010033. The reversal of 101010010020 is 20010010101.

It is an interprime number because it is at equal distance from previous prime (101010010007) and next prime (101010010033).

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 junction number, because it is equal to n+sod(n) for n = 101010009990 and 101010010008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55774915 + ... + 55776725.

It is an arithmetic number, because the mean of its divisors is an integer number (1539127296).

Almost surely, 2101010010020 is an apocalyptic number.

101010010020 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 101010010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147756220416).

101010010020 is an abundant number, since it is smaller than the sum of its proper divisors (194502430812).

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

101010010020 is a wasteful number, since it uses less digits than its factorization.

101010010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2200 counting only the distinct ones).

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

Adding to 101010010020 its reverse (20010010101), we get a palindrome (121020020121).

The spelling of 101010010020 in words is "one hundred one billion, ten million, ten thousand, twenty".