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101023210020 = 22351683720167
BaseRepresentation
bin101111000010101110…
…0111101101000100100
3100122202110222210112010
41132011130331220210
53123343420210040
6114224233554220
710204310055045
oct1360534755044
9318673883463
10101023210020
1139930a71a17
12176b4575970
1396ac7b5165
144c64cd08cc
152963ea2e80
hex178573da24

101023210020 has 24 divisors (see below), whose sum is σ = 282864988224. Its totient is φ = 26939522656.

The previous prime is 101023210019. The next prime is 101023210021. The reversal of 101023210020 is 20012320101.

It is an interprime number because it is at equal distance from previous prime (101023210019) and next prime (101023210021).

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

It is a junction number, because it is equal to n+sod(n) for n = 101023209978 and 101023210005.

It is not an unprimeable number, because it can be changed into a prime (101023210021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 841860024 + ... + 841860143.

It is an arithmetic number, because the mean of its divisors is an integer number (11786041176).

Almost surely, 2101023210020 is an apocalyptic number.

101023210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023210020 is an abundant number, since it is smaller than the sum of its proper divisors (181841778204).

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

101023210020 is a wasteful number, since it uses less digits than its factorization.

101023210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683720179 (or 1683720177 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101023210020 its reverse (20012320101), we get a palindrome (121035530121).

The spelling of 101023210020 in words is "one hundred one billion, twenty-three million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1683720167 3367440334 5051160501 6734880668 8418600835 10102321002 16837201670 20204642004 25255802505 33674403340 50511605010 101023210020