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10211304004020 = 22325741432106903
BaseRepresentation
bin1001010010011000000100…
…1001011101100110110100
31100011012011022222211200100
42110212001021131212310
52314300222311112040
633415001443114100
72102512426631250
oct224460111354664
940135138884610
1010211304004020
1132876539a17a9
12118b029072930
13590bca372472
14274330617260
1512a9459a6b30
hex9498125d9b4

10211304004020 has 432 divisors, whose sum is σ = 37125857164032. Its totient is φ = 2224108938240.

The previous prime is 10211304003997. The next prime is 10211304004043. The reversal of 10211304004020 is 2040040311201.

10211304004020 is a `hidden beast` number, since 1 + 0 + 211 + 30 + 400 + 4 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10211304003997) and next prime (10211304004043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10211304003984 and 10211304004002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95465889 + ... + 95572791.

It is an arithmetic number, because the mean of its divisors is an integer number (85939484176).

Almost surely, 210211304004020 is an apocalyptic number.

10211304004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211304004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562928582016).

10211304004020 is an abundant number, since it is smaller than the sum of its proper divisors (26914553160012).

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

10211304004020 is a wasteful number, since it uses less digits than its factorization.

10211304004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107052 (or 107004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10211304004020 its reverse (2040040311201), we get a palindrome (12251344315221).

The spelling of 10211304004020 in words is "ten trillion, two hundred eleven billion, three hundred four million, four thousand, twenty".