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103233124242 = 23331127617787
BaseRepresentation
bin110000000100100101…
…1000111011110010010
3100212110111100001221000
41200021023013132102
53142410134433432
6115231420042430
710313133035463
oct1401113073622
9325414301830
10103233124242
113a865453206
1218010693416
1399725a8301
144dd45ccd6a
152a42ecc57c
hex18092c7792

103233124242 has 128 divisors (see below), whose sum is σ = 239362375680. Its totient is φ = 32943335040.

The previous prime is 103233124237. The next prime is 103233124249. The reversal of 103233124242 is 242421332301.

103233124242 is a `hidden beast` number, since 1 + 0 + 3 + 233 + 1 + 2 + 424 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103233124249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131172573 + ... + 131173359.

It is an arithmetic number, because the mean of its divisors is an integer number (1870018560).

Almost surely, 2103233124242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103233124242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119681187840).

103233124242 is an abundant number, since it is smaller than the sum of its proper divisors (136129251438).

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

103233124242 is a wasteful number, since it uses less digits than its factorization.

103233124242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103233124242 its reverse (242421332301), we get a palindrome (345654456543).

It can be divided in two parts, 103233 and 124242, that added together give a triangular number (227475 = T674).

The spelling of 103233124242 in words is "one hundred three billion, two hundred thirty-three million, one hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 127 186 254 279 381 558 617 762 787 837 1143 1234 1574 1674 1851 2286 2361 3429 3702 3937 4722 5553 6858 7083 7874 11106 11811 14166 16659 19127 21249 23622 24397 33318 35433 38254 42498 48794 57381 70866 73191 78359 99949 106299 114762 146382 156718 172143 199898 212598 219573 235077 299847 344286 439146 470154 485579 516429 599694 658719 705231 899541 971158 1032858 1317438 1410462 1456737 1799082 2115693 2429129 2698623 2913474 3098419 4231386 4370211 4858258 5397246 6196838 7287387 8740422 9295257 13110633 14574774 15052949 18590514 21862161 26221266 27885771 30105898 43724322 45158847 55771542 61668533 65586483 83657313 90317694 123337066 131172966 135476541 167314626 185005599 270953082 370011198 406429623 555016797 812859246 1110033594 1665050391 1911724523 3330100782 3823449046 5735173569 11470347138 17205520707 34411041414 51616562121 103233124242