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10113242404408 = 2311134172341251
BaseRepresentation
bin1001001100101010110000…
…1110001001011000111000
31022210211001020210102212121
42103022230032021120320
52311143410023420113
633301543122451024
72062441401035653
oct223125416113070
938724036712777
1010113242404408
11324a00275a5a0
121174020503a74
135848a0320000
1426d6aabb889a
15128106a12e8d
hex932ac389638

10113242404408 has 640 divisors, whose sum is σ = 25464809341440. Its totient is φ = 3712051200000.

The previous prime is 10113242404403. The next prime is 10113242404451. The reversal of 10113242404408 is 80440424231101.

It is a super-2 number, since 2×101132424044082 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113242404403) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 40291802283 + ... + 40291802533.

It is an arithmetic number, because the mean of its divisors is an integer number (39788764596).

Almost surely, 210113242404408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113242404408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732404670720).

10113242404408 is an abundant number, since it is smaller than the sum of its proper divisors (15351566937032).

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

10113242404408 is a wasteful number, since it uses less digits than its factorization.

10113242404408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 10113242404408 its reverse (80440424231101), we get a palindrome (90553666635509).

The spelling of 10113242404408 in words is "ten trillion, one hundred thirteen billion, two hundred forty-two million, four hundred four thousand, four hundred eight".