Search a number
-
+
10220010100 = 2252102200101
BaseRepresentation
bin10011000010010100…
…01111101001110100
3222101020202022020121
421201022033221310
5131412310310400
64410042141324
7511155436546
oct114112175164
928336668217
1010220010100
114374a24943
121b927b1844
13c6b45c671
146cd473696
153ec36b21a
hex26128fa74

10220010100 has 18 divisors (see below), whose sum is σ = 22177422134. Its totient is φ = 4088004000.

The previous prime is 10220010077. The next prime is 10220010109. The reversal of 10220010100 is 101002201.

It can be written as a sum of positive squares in 3 ways, for example, as 2311109476 + 7908900624 = 48074^2 + 88932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220010109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51099951 + ... + 51100150.

Almost surely, 210220010100 is an apocalyptic number.

10220010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220010100 is an abundant number, since it is smaller than the sum of its proper divisors (11957412034).

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

10220010100 is a wasteful number, since it uses less digits than its factorization.

10220010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102200115 (or 102200108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10220010100 its reverse (101002201), we get a palindrome (10321012301).

The spelling of 10220010100 in words is "ten billion, two hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102200101 204400202 408800404 511000505 1022001010 2044002020 2555002525 5110005050 10220010100