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1124201441430 = 232589871916097
BaseRepresentation
bin10000010110111111101…
…000001010100010010110
310222110202112100101010100
4100112333220022202112
5121404331032111210
62220241230234530
7144135521404554
oct20267750124226
93873675311110
101124201441430
113a3853451161
12161a64955a46
138201ca44a12
143c5a977cbd4
151e39a4d35c0
hex105bfa0a896

1124201441430 has 96 divisors (see below), whose sum is σ = 2956288233600. Its totient is φ = 296366247936.

The previous prime is 1124201441413. The next prime is 1124201441459. The reversal of 1124201441430 is 341441024211.

1124201441430 is a `hidden beast` number, since 1 + 1 + 24 + 201 + 4 + 4 + 1 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1124201441394 and 1124201441403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69831142 + ... + 69847238.

It is an arithmetic number, because the mean of its divisors is an integer number (30794669100).

Almost surely, 21124201441430 is an apocalyptic number.

1124201441430 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 1124201441430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478144116800).

1124201441430 is an abundant number, since it is smaller than the sum of its proper divisors (1832086792170).

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

1124201441430 is a wasteful number, since it uses less digits than its factorization.

1124201441430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24918 (or 24915 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1124201441430 its reverse (341441024211), we get a palindrome (1465642465641).

The spelling of 1124201441430 in words is "one trillion, one hundred twenty-four billion, two hundred one million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 8719 16097 17438 26157 32194 43595 48291 52314 78471 80485 87190 96582 130785 144873 156942 160970 241455 261570 289746 392355 482910 724365 775991 784710 1432633 1448730 1551982 2327973 2865266 3879955 4297899 4655946 6983919 7163165 7759910 8595798 11639865 12893697 13967838 14326330 21489495 23279730 25787394 34919595 42978990 64468485 69839190 128936970 140349743 280699486 421049229 701748715 842098458 1263147687 1403497430 2105246145 2526295374 4210492290 6315738435 12491127127 12631476870 24982254254 37473381381 62455635635 74946762762 112420144143 124911271270 187366906905 224840288286 374733813810 562100720715 1124201441430