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10303010010100 = 22521011020100001
BaseRepresentation
bin1001010111101101101101…
…0000000111001111110100
31100110221212111000122012001
42111323123100013033310
52322301031030310400
633525045405105044
72112240123053413
oct225733320071764
940427774018161
1010303010010100
113312533608475
1211a4961258184
135997537649a2
1427894dd2147a
1512d0119c1a6a
hex95edb4073f4

10303010010100 has 36 divisors (see below), whose sum is σ = 22578893444268. Its totient is φ = 4080400000000.

The previous prime is 10303010010067. The next prime is 10303010010119. The reversal of 10303010010100 is 101001030301.

It can be written as a sum of positive squares in 6 ways, for example, as 2293419475216 + 8009590534884 = 1514404^2 + 2830122^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510039901 + ... + 510060100.

It is an arithmetic number, because the mean of its divisors is an integer number (627191484563).

Almost surely, 210303010010100 is an apocalyptic number.

10303010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303010010100 is an abundant number, since it is smaller than the sum of its proper divisors (12275883434168).

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

10303010010100 is a wasteful number, since it uses less digits than its factorization.

10303010010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020100116 (or 1020100109 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10303010010100 its reverse (101001030301), we get a palindrome (10404011040401).

It can be divided in two parts, 103030100 and 10100, that multiplied together give a 4-th power (1040604010000 = 10104).

The spelling of 10303010010100 in words is "ten trillion, three hundred three billion, ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 1020100001 2040200002 4080400004 5100500005 10201000010 20402000020 25502500025 51005000050 102010000100 103030100101 206060200202 412120400404 515150500505 1030301001010 2060602002020 2575752502525 5151505005050 10303010010100