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1130322212032 = 261383101916063
BaseRepresentation
bin10000011100101100011…
…101000011010011000000
311000001120002122201220211
4100130230131003103000
5122004344441241112
62223132435443504
7144443303164036
oct20345435032300
94001502581824
101130322212032
113a640446a762
12163092756594
1382786b47380
143c9ca628556
151e607a250a7
hex1072c7434c0

1130322212032 has 112 divisors (see below), whose sum is σ = 2447174338560. Its totient is φ = 514863940608.

The previous prime is 1130322212027. The next prime is 1130322212039. The reversal of 1130322212032 is 2302122230311.

It is a junction number, because it is equal to n+sod(n) for n = 1130322211994 and 1130322212012.

It is not an unprimeable number, because it can be changed into a prime (1130322212039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70360033 + ... + 70376095.

It is an arithmetic number, because the mean of its divisors is an integer number (21849770880).

Almost surely, 21130322212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130322212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223587169280).

1130322212032 is an abundant number, since it is smaller than the sum of its proper divisors (1316852126528).

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

1130322212032 is a wasteful number, since it uses less digits than its factorization.

1130322212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17190 (or 17180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1130322212032 its reverse (2302122230311), we get a palindrome (3432444442343).

The spelling of 1130322212032 in words is "one trillion, one hundred thirty billion, three hundred twenty-two million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 166 208 332 416 664 832 1019 1079 1328 2038 2158 2656 4076 4316 5312 8152 8632 13247 16063 16304 17264 26494 32126 32608 34528 52988 64252 65216 69056 84577 105976 128504 169154 208819 211952 257008 338308 417638 423904 514016 676616 835276 847808 1028032 1099501 1333229 1353232 1670552 2199002 2666458 2706464 3341104 4398004 5332916 5412928 6682208 8796008 10665832 13364416 16368197 17331977 17592016 21331664 32736394 34663954 35184032 42663328 65472788 69327908 70368064 85326656 130945576 138655816 212786561 261891152 277311632 425573122 523782304 554623264 851146244 1047564608 1109246528 1358560351 1702292488 2717120702 3404584976 5434241404 6809169952 10868482808 13618339904 17661284563 21736965616 35322569126 43473931232 70645138252 86947862464 141290276504 282580553008 565161106016 1130322212032