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101220200010 = 23251124668889
BaseRepresentation
bin101111001000100110…
…0011010111001001010
3100200021012122220222200
41132101030122321022
53124244332400020
6114255552101030
710212221334636
oct1362114327112
9320235586880
10101220200010
1139a22189466
121774a534776
139711557397
144c8312bdc6
152976415590
hex179131ae4a

101220200010 has 24 divisors (see below), whose sum is σ = 263172520260. Its totient is φ = 26992053312.

The previous prime is 101220199973. The next prime is 101220200017. The reversal of 101220200010 is 10002022101.

It can be written as a sum of positive squares in 2 ways, for example, as 100474418529 + 745781481 = 316977^2 + 27309^2 .

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 = 101220199965 and 101220200001.

It is not an unprimeable number, because it can be changed into a prime (101220200017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562334355 + ... + 562334534.

Almost surely, 2101220200010 is an apocalyptic number.

101220200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101220200010 is an abundant number, since it is smaller than the sum of its proper divisors (161952320250).

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

101220200010 is a wasteful number, since it uses less digits than its factorization.

101220200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124668902 (or 1124668899 counting only the distinct ones).

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

Adding to 101220200010 its reverse (10002022101), we get a palindrome (111222222111).

The spelling of 101220200010 in words is "one hundred one billion, two hundred twenty million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1124668889 2249337778 3374006667 5623344445 6748013334 10122020001 11246688890 16870033335 20244040002 33740066670 50610100005 101220200010