Search a number
-
+
10043073131520 = 21035111337191647
BaseRepresentation
bin1001001000100101010111…
…0011100111010000000000
31022120002221000221001020210
42102021111303213100000
52304021203210202040
633205420223434120
72054405500046232
oct222112563472000
938502830831223
1010043073131520
113222274a62280
1211624b8a55940
1357b099ab92b0
1426a1318dc252
1512639b617480
hex92255ce7400

10043073131520 has 1408 divisors, whose sum is σ = 39020982239232. Its totient is φ = 2171849932800.

The previous prime is 10043073131503. The next prime is 10043073131521. The reversal of 10043073131520 is 2513137034001.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10043073131521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15522523837 + ... + 15522524483.

Almost surely, 210043073131520 is an apocalyptic number.

10043073131520 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 10043073131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19510491119616).

10043073131520 is an abundant number, since it is smaller than the sum of its proper divisors (28977909107712).

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

10043073131520 is a wasteful number, since it uses less digits than its factorization.

10043073131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 10043073131520 in words is "ten trillion, forty-three billion, seventy-three million, one hundred thirty-one thousand, five hundred twenty".