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101030020023329 = 5393710691903081
BaseRepresentation
bin10110111110001011100010…
…011101001000010000100001
3111020201101010210201010222122
4112332023202131020100201
5101220233440111221304
6554512314522314025
730165115035654215
oct2676134235102041
9436641123633878
10101030020023329
112a211655501a01
12b3b8365358915
13444b1229977a7
141ad3c441d6945
15ba30517b79be
hex5be2e2748421

101030020023329 has 16 divisors (see below), whose sum is σ = 103142553126480. Its totient is φ = 98925326023680.

The previous prime is 101030020023277. The next prime is 101030020023341. The reversal of 101030020023329 is 923320020030101.

It can be written as a sum of positive squares in 8 ways, for example, as 468273333025 + 100561746690304 = 684305^2 + 10028048^2 .

It is a cyclic number.

It is not a de Polignac number, because 101030020023329 - 28 = 101030020023073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101030020023298 and 101030020023307.

It is not an unprimeable number, because it can be changed into a prime (101030020022329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52136069 + ... + 54039149.

It is an arithmetic number, because the mean of its divisors is an integer number (6446409570405).

Almost surely, 2101030020023329 is an apocalyptic number.

It is an amenable number.

101030020023329 is a deficient number, since it is larger than the sum of its proper divisors (2112533103151).

101030020023329 is a wasteful number, since it uses less digits than its factorization.

101030020023329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905140.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 101030020023329 in words is "one hundred one trillion, thirty billion, twenty million, twenty-three thousand, three hundred twenty-nine".

Divisors: 1 53 937 1069 49661 56657 1001653 1903081 53087609 100863293 1783186897 2034393589 94508905541 107822860217 1906226792893 101030020023329