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10103241041100 = 22325211225823379
BaseRepresentation
bin1001001100000101100000…
…0101111110010011001100
31022202212020020110112122100
42103001120011332103030
52311012414201303400
633253210450515100
72061635505615234
oct223013005762314
938685206415570
1010103241041100
1132458401a4289
1211720aab95a90
1358396827615c
1426cddc7bccc4
15127c1d986100
hex9305817e4cc

10103241041100 has 54 divisors (see below), whose sum is σ = 31668047754980. Its totient is φ = 2694197610720.

The previous prime is 10103241041083. The next prime is 10103241041107. The reversal of 10103241041100 is 114014230101.

10103241041100 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 241 + 0 + 411 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10103241041107) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 5612910790 + ... + 5612912589.

Almost surely, 210103241041100 is an apocalyptic number.

10103241041100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103241041100 is an abundant number, since it is smaller than the sum of its proper divisors (21564806713880).

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

10103241041100 is a wasteful number, since it uses less digits than its factorization.

10103241041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225823399 (or 11225823389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10103241041100 its reverse (114014230101), we get a palindrome (10217255271201).

The spelling of 10103241041100 in words is "ten trillion, one hundred three billion, two hundred forty-one million, forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 11225823379 22451646758 33677470137 44903293516 56129116895 67354940274 101032410411 112258233790 134709880548 168387350685 202064820822 224516467580 280645584475 336774701370 404129641644 505162052055 561291168950 673549402740 841936753425 1010324104110 1122582337900 1683873506850 2020648208220 2525810260275 3367747013700 5051620520550 10103241041100