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1015121104 = 242910121661
BaseRepresentation
bin111100100000011…
…000010011010000
32121202010111100221
4330200120103100
54034332333404
6244421322424
734104246514
oct7440302320
92552114327
101015121104
11481011568
12243b66414
1313240299a
1498b66144
155e1bb954
hex3c8184d0

1015121104 has 40 divisors (see below), whose sum is σ = 2054857320. Its totient is φ = 485184000.

The previous prime is 1015121053. The next prime is 1015121117. The reversal of 1015121104 is 4011215101.

It can be written as a sum of positive squares in 4 ways, for example, as 326163600 + 688957504 = 18060^2 + 26248^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36034 + ... + 57694.

It is an arithmetic number, because the mean of its divisors is an integer number (51371433).

Almost surely, 21015121104 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 1015121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027428660).

1015121104 is an abundant number, since it is smaller than the sum of its proper divisors (1039736216).

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

1015121104 is a wasteful number, since it uses less digits than its factorization.

1015121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21799 (or 21793 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 1015121104 is about 31860.9652082293. The cubic root of 1015121104 is about 1005.0151739828.

Adding to 1015121104 its reverse (4011215101), we get a palindrome (5026336205).

The spelling of 1015121104 in words is "one billion, fifteen million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 464 808 1616 2929 5858 11716 21661 23432 43322 46864 86644 173288 346576 628169 1256338 2187761 2512676 4375522 5025352 8751044 10050704 17502088 35004176 63445069 126890138 253780276 507560552 1015121104