Search a number
-
+
10114897543380 = 223357172353129127
BaseRepresentation
bin1001001100110000111011…
…1000000000000011010100
31022210222022121020012201000
42103030032320000003110
52311210302232342010
633302415250103300
72062530406346010
oct223141670000324
938728277205630
1010114897543380
11324a781a71a43
12117440287ab30
13584aa51c0296
1426d7c6943540
151281a1ea47c0
hex9330ee000d4

10114897543380 has 768 divisors, whose sum is σ = 40485284904960. Its totient is φ = 2042083270656.

The previous prime is 10114897543379. The next prime is 10114897543423. The reversal of 10114897543380 is 8334579841101.

10114897543380 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 8 + 97 + 543 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×101148975433802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 78268377 + ... + 78397503.

It is an arithmetic number, because the mean of its divisors is an integer number (52715214720).

Almost surely, 210114897543380 is an apocalyptic number.

10114897543380 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 10114897543380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20242642452480).

10114897543380 is an abundant number, since it is smaller than the sum of its proper divisors (30370387361580).

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

10114897543380 is a wasteful number, since it uses less digits than its factorization.

10114897543380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129245 (or 129237 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10114897543380 in words is "ten trillion, one hundred fourteen billion, eight hundred ninety-seven million, five hundred forty-three thousand, three hundred eighty".