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103354201435104 = 2532418752896463
BaseRepresentation
bin10111100000000000000110…
…011101100110101111100000
3111112221120021000002000120100
4113200000012131212233200
5102021323401031410404
61003452133100142400
730525044314003464
oct2740000635465740
9445846230060510
10103354201435104
112aa282a82a9614
12b7128a0b37a00
13458934ab03429
141b745275684a4
15be372ed2bd39
hex5e0006766be0

103354201435104 has 72 divisors (see below), whose sum is σ = 301082132568672. Its totient is φ = 33611122414080.

The previous prime is 103354201435021. The next prime is 103354201435127. The reversal of 103354201435104 is 401534102453301.

103354201435104 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 5 + 4 + 201 + 435 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4376436424 + ... + 4376460039.

It is an arithmetic number, because the mean of its divisors is an integer number (4181696285676).

Almost surely, 2103354201435104 is an apocalyptic number.

It is an amenable number.

103354201435104 is an abundant number, since it is smaller than the sum of its proper divisors (197727931133568).

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

103354201435104 is a wasteful number, since it uses less digits than its factorization.

103354201435104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752896520 (or 8752896509 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 103354201435104 its reverse (401534102453301), we get a palindrome (504888303888405).

The spelling of 103354201435104 in words is "one hundred three trillion, three hundred fifty-four billion, two hundred one million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 8752896463 17505792926 26258689389 35011585852 52517378778 70023171704 78776068167 105034757556 140046343408 157552136334 210069515112 280092686816 315104272668 358868754983 420139030224 630208545336 717737509966 840278060448 1076606264949 1260417090672 1435475019932 2153212529898 2520834181344 2870950039864 3229818794847 4306425059796 5741900079728 6459637589694 8612850119592 11483800159456 12919275179388 17225700239184 25838550358776 34451400478368 51677100717552 103354201435104