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21010180603104 = 2533711241977219
BaseRepresentation
bin1001100011011110100000…
…10110011111110011100000
32202101112221121111011011000
410301233100112133303200
510223212322213244404
6112403535502152000
74265635601332350
oct461572026376340
982345847434130
1021010180603104
116770405241800
122433ab6b82600
13b953367c2284
14528c807dab60
152667ca282339
hex131bd059fce0

21010180603104 has 1152 divisors, whose sum is σ = 79680992025600. Its totient is φ = 5268470169600.

The previous prime is 21010180603099. The next prime is 21010180603123. The reversal of 21010180603104 is 40130608101012.

It is a happy number.

21010180603104 is a `hidden beast` number, since 21 + 0 + 10 + 18 + 0 + 603 + 10 + 4 = 666.

It is a super-2 number, since 2×210101806031042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2910396807 + ... + 2910404025.

It is an arithmetic number, because the mean of its divisors is an integer number (69167527800).

Almost surely, 221010180603104 is an apocalyptic number.

21010180603104 is a gapful number since it is divisible by the number (24) 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 21010180603104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39840496012800).

21010180603104 is an abundant number, since it is smaller than the sum of its proper divisors (58670811422496).

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

21010180603104 is a wasteful number, since it uses less digits than its factorization.

21010180603104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 21010180603104 its reverse (40130608101012), we get a palindrome (61140788704116).

The spelling of 21010180603104 in words is "twenty-one trillion, ten billion, one hundred eighty million, six hundred three thousand, one hundred four".