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10140056222310 = 23257173221293941
BaseRepresentation
bin1001001110001110101001…
…1100101111101001100110
31022220101020221201112002100
42103203222130233221212
52312113313343103220
633322135535552530
72064411021525120
oct223435234575146
938811227645070
1010140056222310
11325a412428883
12117926438b746
13587284573b51
14270ad1dd4210
15128b75a6cd90
hex938ea72fa66

10140056222310 has 192 divisors, whose sum is σ = 31912845554304. Its totient is φ = 2180705587200.

The previous prime is 10140056222299. The next prime is 10140056222353. The reversal of 10140056222310 is 1322265004101.

10140056222310 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 0 + 5 + 622 + 2 + 31 + 0 = 666.

It is a super-2 number, since 2×101400562223102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34349940 + ... + 34643880.

It is an arithmetic number, because the mean of its divisors is an integer number (166212737262).

Almost surely, 210140056222310 is an apocalyptic number.

10140056222310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140056222310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956422777152).

10140056222310 is an abundant number, since it is smaller than the sum of its proper divisors (21772789331994).

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

10140056222310 is a wasteful number, since it uses less digits than its factorization.

10140056222310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297199 (or 297196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10140056222310 in words is "ten trillion, one hundred forty billion, fifty-six million, two hundred twenty-two thousand, three hundred ten".