Search a number
-
+
1031242300 = 2252117911867
BaseRepresentation
bin111101011101111…
…000001000111100
32122212110112111021
4331131320020330
54102444223200
6250155033524
734361262214
oct7535701074
92585415437
101031242300
1148a122670
1224943b8a4
1313585875a
149ad61244
156080341a
hex3d77823c

1031242300 has 72 divisors (see below), whose sum is σ = 2472341760. Its totient is φ = 370219200.

The previous prime is 1031242273. The next prime is 1031242319. The reversal of 1031242300 is 32421301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80967 + ... + 92833.

It is an arithmetic number, because the mean of its divisors is an integer number (34338080).

Almost surely, 21031242300 is an apocalyptic number.

1031242300 is a gapful number since it is divisible by the number (10) 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 1031242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236170880).

1031242300 is an abundant number, since it is smaller than the sum of its proper divisors (1441099460).

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

1031242300 is a wasteful number, since it uses less digits than its factorization.

1031242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971 (or 11964 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1031242300 is about 32112.9615576016. The cubic root of 1031242300 is about 1010.3074905999.

Adding to 1031242300 its reverse (32421301), we get a palindrome (1063663601).

The spelling of 1031242300 in words is "one billion, thirty-one million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1580 1738 1975 3476 3950 4345 7900 8690 11867 17380 21725 23734 43450 47468 59335 86900 118670 130537 237340 261074 296675 522148 593350 652685 937493 1186700 1305370 1874986 2610740 3263425 3749972 4687465 6526850 9374930 10312423 13053700 18749860 20624846 23437325 41249692 46874650 51562115 93749300 103124230 206248460 257810575 515621150 1031242300