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10103250210416 = 24111812731116131
BaseRepresentation
bin1001001100000101100010…
…1000111100111001110000
31022202212020212201101120122
42103001120220330321300
52311012424023213131
633253211415225412
72061635646555026
oct223013050747160
938685225641518
1010103250210416
113245845397330
1211720b2078268
1358396a13689c
1426cdddac8716
15127c1e697d7b
hex93058a3ce70

10103250210416 has 80 divisors (see below), whose sum is σ = 21480625735296. Its totient is φ = 4565302560000.

The previous prime is 10103250210373. The next prime is 10103250210467. The reversal of 10103250210416 is 61401205230101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86940671 + ... + 87056801.

Almost surely, 210103250210416 is an apocalyptic number.

10103250210416 is a gapful number since it is divisible by the number (16) 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 10103250210416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740312867648).

10103250210416 is an abundant number, since it is smaller than the sum of its proper divisors (11377375524880).

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

10103250210416 is a wasteful number, since it uses less digits than its factorization.

10103250210416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119062 (or 119056 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 10103250210416 its reverse (61401205230101), we get a palindrome (71504455440517).

The spelling of 10103250210416 in words is "ten trillion, one hundred three billion, two hundred fifty million, two hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 181 362 724 1448 1991 2731 2896 3982 5462 7964 10924 15928 21848 30041 31856 43696 60082 116131 120164 232262 240328 464524 480656 494311 929048 988622 1277441 1858096 1977244 2554882 3954488 5109764 5437421 7908976 10219528 10874842 20439056 21019711 21749684 42039422 43499368 84078844 86998736 168157688 231216821 317153761 336315376 462433642 634307522 924867284 1268615044 1849734568 2537230088 3488691371 3699469136 5074460176 6977382742 13954765484 27909530968 55819061936 57404830741 114809661482 229619322964 459238645928 631453138151 918477291856 1262906276302 2525812552604 5051625105208 10103250210416