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10103235342304 = 25131712371154911
BaseRepresentation
bin1001001100000101011111…
…0000001110111111100000
31022202212012211202000100211
42103001113300032333200
52311012411221423204
633253210124423504
72061635406311536
oct223012760167740
938685184660324
1010103235342304
113245837a61735
1211720a90a7b94
1358396702c2a0
1426cddbb38156
15127c1d20c804
hex93057c0efe0

10103235342304 has 96 divisors (see below), whose sum is σ = 22699204045056. Its totient is φ = 4385184030720.

The previous prime is 10103235342301. The next prime is 10103235342349. The reversal of 10103235342304 is 40324353230101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103235342301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8170609 + ... + 9325519.

It is an arithmetic number, because the mean of its divisors is an integer number (236450042136).

Almost surely, 210103235342304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103235342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11349602022528).

10103235342304 is an abundant number, since it is smaller than the sum of its proper divisors (12595968702752).

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

10103235342304 is a wasteful number, since it uses less digits than its factorization.

10103235342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156188 (or 1156180 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 10103235342304 its reverse (40324353230101), we get a palindrome (50427588572405).

The spelling of 10103235342304 in words is "ten trillion, one hundred three billion, two hundred thirty-five million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1237 1768 2474 3536 4948 7072 9896 16081 19792 21029 32162 39584 42058 64324 84116 128648 168232 257296 273377 336464 514592 546754 672928 1093508 1154911 2187016 2309822 4374032 4619644 8748064 9239288 15013843 18478576 19633487 30027686 36957152 39266974 60055372 78533948 120110744 157067896 240221488 255235331 314135792 480442976 510470662 628271584 1020941324 1428624907 2041882648 2857249814 4083765296 5714499628 8167530592 11428999256 18572123791 22857998512 24286623419 37144247582 45715997024 48573246838 74288495164 97146493676 148576990328 194292987352 297153980656 315726104447 388585974704 594307961312 631452208894 777171949408 1262904417788 2525808835576 5051617671152 10103235342304