Search a number
-
+
1012012050 = 235273131091
BaseRepresentation
bin111100010100100…
…001010000010010
32121112021112112210
4330110201100102
54033033341200
6244230532550
734035650310
oct7424412022
92545245483
101012012050
1147a2886a5
12242b07156
131318847ca
14985970b0
155dca5650
hex3c521412

1012012050 has 96 divisors (see below), whose sum is σ = 2960953344. Its totient is φ = 223848000.

The previous prime is 1012012033. The next prime is 1012012063. The reversal of 1012012050 is 502102101.

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 47 ways as a sum of consecutive naturals, for example, 17005 + ... + 48095.

It is an arithmetic number, because the mean of its divisors is an integer number (30843264).

Almost surely, 21012012050 is an apocalyptic number.

1012012050 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 1012012050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480476672).

1012012050 is an abundant number, since it is smaller than the sum of its proper divisors (1948941294).

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

1012012050 is a wasteful number, since it uses less digits than its factorization.

1012012050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31144 (or 31139 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1012012050 is about 31812.1368348623. The cubic root of 1012012050 is about 1003.9880906562.

Adding to 1012012050 its reverse (502102101), we get a palindrome (1514114151).

The spelling of 1012012050 in words is "one billion, twelve million, twelve thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 150 155 175 186 210 217 310 350 434 465 525 651 775 930 1050 1085 1302 1550 2170 2325 3255 4650 5425 6510 10850 16275 31091 32550 62182 93273 155455 186546 217637 310910 435274 466365 652911 777275 932730 963821 1088185 1305822 1554550 1927642 2176370 2331825 2891463 3264555 4663650 4819105 5440925 5782926 6529110 6746747 9638210 10881850 13493494 14457315 16322775 20240241 24095525 28914630 32645550 33733735 40480482 48191050 67467470 72286575 101201205 144573150 168668675 202402410 337337350 506006025 1012012050