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101022300100 = 22521324976249
BaseRepresentation
bin101111000010101100…
…1011111011111000100
3100122202102021120100101
41132011121133133010
53123343202100400
6114224202253444
710204266245161
oct1360531373704
9318672246311
10101022300100
1139930500317
12176b41b7284
1396ac556c47
144c64b35068
152963d7356a
hex178565f7c4

101022300100 has 36 divisors (see below), whose sum is σ = 219237812500. Its totient is φ = 40405340160.

The previous prime is 101022300083. The next prime is 101022300107. The reversal of 101022300100 is 1003220101.

It can be written as a sum of positive squares in 6 ways, for example, as 4728762756 + 96293537344 = 68766^2 + 310312^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101022300107) 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, 1286776 + ... + 1363024.

Almost surely, 2101022300100 is an apocalyptic number.

101022300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022300100 is an abundant number, since it is smaller than the sum of its proper divisors (118215512400).

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

101022300100 is a wasteful number, since it uses less digits than its factorization.

101022300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89512 (or 89505 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101022300100 its reverse (1003220101), we get a palindrome (102025520201).

The spelling of 101022300100 in words is "one hundred one billion, twenty-two million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13249 26498 52996 66245 76249 132490 152498 264980 304996 331225 381245 662450 762490 1324900 1524980 1906225 3812450 7624900 1010223001 2020446002 4040892004 5051115005 10102230010 20204460020 25255575025 50511150050 101022300100