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101335150100 = 22521013351501
BaseRepresentation
bin101111001100000001…
…0111010111000010100
3100200120012221222212102
41132120002322320110
53130013244300400
6114315215541232
710215115364252
oct1363002727024
9320505858772
10101335150100
1139a81061138
1217780b2a818
13972c3038a2
144c944d15d2
15298156e9d5
hex17980bae14

101335150100 has 18 divisors (see below), whose sum is σ = 219897275934. Its totient is φ = 40534060000.

The previous prime is 101335150097. The next prime is 101335150153. The reversal of 101335150100 is 1051533101.

It can be written as a sum of positive squares in 3 ways, for example, as 1122384004 + 100212766096 = 33502^2 + 316564^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506675651 + ... + 506675850.

Almost surely, 2101335150100 is an apocalyptic number.

101335150100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101335150100 is an abundant number, since it is smaller than the sum of its proper divisors (118562125834).

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

101335150100 is a wasteful number, since it uses less digits than its factorization.

101335150100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013351515 (or 1013351508 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 20.

Adding to 101335150100 its reverse (1051533101), we get a palindrome (102386683201).

The spelling of 101335150100 in words is "one hundred one billion, three hundred thirty-five million, one hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1013351501 2026703002 4053406004 5066757505 10133515010 20267030020 25333787525 50667575050 101335150100