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101002022010 = 23352671140053
BaseRepresentation
bin101111000010000110…
…0001000110001111010
3100122201000010100001000
41132010030020301322
53123323004201020
6114222155505430
710203632010321
oct1360414106172
9318630110030
10101002022010
113992001006a
12176a9458276
1396a82a7086
144c621770b8
1529621ba090
hex1784308c7a

101002022010 has 64 divisors (see below), whose sum is σ = 269441487360. Its totient is φ = 26923596480.

The previous prime is 101002021961. The next prime is 101002022047. The reversal of 101002022010 is 10220200101.

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 = 101002021983 and 101002022001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651144 + ... + 791196.

It is an arithmetic number, because the mean of its divisors is an integer number (4210023240).

Almost surely, 2101002022010 is an apocalyptic number.

101002022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002022010 is an abundant number, since it is smaller than the sum of its proper divisors (168439465350).

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

101002022010 is a wasteful number, since it uses less digits than its factorization.

101002022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142740 (or 142734 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101002022010 its reverse (10220200101), we get a palindrome (111222222111).

The spelling of 101002022010 in words is "one hundred one billion, two million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2671 5342 8013 13355 16026 24039 26710 40065 48078 72117 80130 120195 140053 144234 240390 280106 360585 420159 700265 721170 840318 1260477 1400530 2100795 2520954 3781431 4201590 6302385 7562862 12604770 18907155 37814310 374081563 748163126 1122244689 1870407815 2244489378 3366734067 3740815630 5611223445 6733468134 10100202201 11222446890 16833670335 20200404402 33667340670 50501011005 101002022010