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10534355302140 = 22325173338290151
BaseRepresentation
bin1001100101001011100010…
…0000010111011011111100
31101022002000100000010210200
42121102320200113123330
52340043324424132030
634223225505403500
72135040100435455
oct231227040273374
941262010003720
1010534355302140
1133a165aa354aa
121221766339590
135b5501a81437
14285c18d9c12c
15134051c09d60
hex994b88176fc

10534355302140 has 72 divisors (see below), whose sum is σ = 32138917600608. Its totient is φ = 2792923478400.

The previous prime is 10534355302129. The next prime is 10534355302171. The reversal of 10534355302140 is 4120355343501.

10534355302140 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 43 + 553 + 0 + 21 + 40 = 666.

10534355302140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105343553021402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10534355302095 and 10534355302104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169113936 + ... + 169176215.

It is an arithmetic number, because the mean of its divisors is an integer number (446373855564).

Almost surely, 210534355302140 is an apocalyptic number.

10534355302140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10534355302140 is an abundant number, since it is smaller than the sum of its proper divisors (21604562298468).

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

10534355302140 is a wasteful number, since it uses less digits than its factorization.

10534355302140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338290339 (or 338290334 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 10534355302140 in words is "ten trillion, five hundred thirty-four billion, three hundred fifty-five million, three hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 15570 31140 338290151 676580302 1014870453 1353160604 1691450755 2029740906 3044611359 3382901510 4059481812 5074352265 6089222718 6765803020 10148704530 12178445436 15223056795 20297409060 30446113590 58524196123 60892227180 117048392246 175572588369 234096784492 292620980615 351145176738 526717765107 585241961230 702290353476 877862941845 1053435530214 1170483922460 1755725883690 2106871060428 2633588825535 3511451767380 5267177651070 10534355302140