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10121104 = 247233929
BaseRepresentation
bin100110100110…
…111110010000
3201001012112201
4212212332100
510042333404
61000532544
7152012410
oct46467620
921035481
1010121104
115793154
123481154
132134a26
1414b6640
15d4dca4
hex9a6f90

10121104 has 40 divisors (see below), whose sum is σ = 23391360. Its totient is φ = 4147968.

The previous prime is 10121093. The next prime is 10121107. The reversal of 10121104 is 40112101.

10121104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10121107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612 + ... + 4540.

It is an arithmetic number, because the mean of its divisors is an integer number (584784).

Almost surely, 210121104 is an apocalyptic number.

10121104 is a gapful number since it is divisible by the number (14) 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 10121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695680).

10121104 is an abundant number, since it is smaller than the sum of its proper divisors (13270256).

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

10121104 is a wasteful number, since it uses less digits than its factorization.

10121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 10121104 is about 3181.3682590986. The cubic root of 10121104 is about 216.3096838168.

Adding to 10121104 its reverse (40112101), we get a palindrome (50233205).

It can be divided in two parts, 1012 and 1104, that added together give a square (2116 = 462).

The spelling of 10121104 in words is "ten million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 3929 7858 15716 27503 31432 55006 62864 90367 110012 180734 220024 361468 440048 632569 722936 1265138 1445872 2530276 5060552 10121104