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10301202100100 = 2252103012021001
BaseRepresentation
bin1001010111100110111101…
…1111011110111110000100
31100110210012111010021220102
42111321233133132332010
52322233330214200400
633524150143223232
72112144251062652
oct225715737367604
940423174107812
1010301202100100
11331179604097a
1211a45378a7b18
13599526035462
1427881bb89dd2
1512ce57e049d5
hex95e6f7def84

10301202100100 has 18 divisors (see below), whose sum is σ = 22353608557434. Its totient is φ = 4120480840000.

The previous prime is 10301202100093. The next prime is 10301202100103. The reversal of 10301202100100 is 100120210301.

It can be written as a sum of positive squares in 3 ways, for example, as 1852843660864 + 8448358439236 = 1361192^2 + 2906606^2 .

It is a super-2 number, since 2×103012021001002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10301202100103) 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, 51506010401 + ... + 51506010600.

Almost surely, 210301202100100 is an apocalyptic number.

10301202100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301202100100 is an abundant number, since it is smaller than the sum of its proper divisors (12052406457334).

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

10301202100100 is a wasteful number, since it uses less digits than its factorization.

10301202100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103012021015 (or 103012021008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10301202100100 its reverse (100120210301), we get a palindrome (10401322310401).

The spelling of 10301202100100 in words is "ten trillion, three hundred one billion, two hundred two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103012021001 206024042002 412048084004 515060105005 1030120210010 2060240420020 2575300525025 5150601050050 10301202100100