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1121122103332 = 227115976181071
BaseRepresentation
bin10000010100001000000…
…101011011000000100100
310222011210221000210101011
4100110020011123000210
5121332024224301312
62215011505312004
7143666310433510
oct20241005330044
93864727023334
101121122103332
113a2513221940
12161345635604
138194baa247a
143c396803140
151e269ebbda7
hex1050815b024

1121122103332 has 96 divisors (see below), whose sum is σ = 2490843156480. Its totient is φ = 428827872000.

The previous prime is 1121122103327. The next prime is 1121122103347. The reversal of 1121122103332 is 2333012211211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13788357 + ... + 13869427.

It is an arithmetic number, because the mean of its divisors is an integer number (25946282880).

Almost surely, 21121122103332 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 1121122103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245421578240).

1121122103332 is an abundant number, since it is smaller than the sum of its proper divisors (1369721053148).

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

1121122103332 is a wasteful number, since it uses less digits than its factorization.

1121122103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81913 (or 81911 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1121122103332 its reverse (2333012211211), we get a palindrome (3454134314543).

The spelling of 1121122103332 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 649 761 826 1298 1522 1652 2596 3044 4543 5327 8371 9086 10654 16742 18172 21308 33484 44899 58597 81071 89798 117194 162142 179596 234388 314293 324284 493889 567497 628586 891781 987778 1134994 1257172 1783562 1975556 2269988 3457223 3567124 4783189 6242467 6914446 9566378 12484934 13828892 19132756 24969868 33482323 52615079 61695031 66964646 105230158 123390062 133929292 210460316 246780124 368305553 431865217 678645341 736611106 863730434 1357290682 1473222212 1727460868 2714581364 3640006829 4750517387 7280013658 9501034774 14560027316 19002069548 25480047803 40040075119 50960095606 80080150238 101920191212 160160300476 280280525833 560561051666 1121122103332