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1012114050 = 2352103109601
BaseRepresentation
bin111100010100111…
…010001010000010
32121112110201110120
4330110322022002
54033100122200
6244233041110
734036553553
oct7424721202
92545421416
101012114050
1147a3482a2
12242b56196
131318bc06c
14985c232a
155dcc59a0
hex3c53a282

1012114050 has 96 divisors (see below), whose sum is σ = 2561919360. Its totient is φ = 264384000.

The previous prime is 1012114043. The next prime is 1012114087. The reversal of 1012114050 is 504112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1683750 + ... + 1684350.

It is an arithmetic number, because the mean of its divisors is an integer number (26686660).

Almost surely, 21012114050 is an apocalyptic number.

1012114050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012114050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280959680).

1012114050 is an abundant number, since it is smaller than the sum of its proper divisors (1549805310).

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

1012114050 is a wasteful number, since it uses less digits than its factorization.

1012114050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1012114050 is about 31813.7399561887. The cubic root of 1012114050 is about 1004.0218199466.

Adding to 1012114050 its reverse (504112101), we get a palindrome (1516226151).

The spelling of 1012114050 in words is "one billion, twelve million, one hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 103 109 150 206 218 309 327 515 545 601 618 654 1030 1090 1202 1545 1635 1803 2575 2725 3005 3090 3270 3606 5150 5450 6010 7725 8175 9015 11227 15025 15450 16350 18030 22454 30050 33681 45075 56135 61903 65509 67362 90150 112270 123806 131018 168405 185709 196527 280675 309515 327545 336810 371418 393054 561350 619030 655090 842025 928545 982635 1547575 1637725 1684050 1857090 1965270 3095150 3275450 4642725 4913175 6747427 9285450 9826350 13494854 20242281 33737135 40484562 67474270 101211405 168685675 202422810 337371350 506057025 1012114050