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1123213021100 = 2252311361266221
BaseRepresentation
bin10000010110000100101…
…101101000111110101100
310222101012122110102022222
4100112010231220332230
5121400320013133400
62215555201054512
7144102160102622
oct20260455507654
93871178412288
101123213021100
113a3396517355
12161829927438
1381bc3030411
143c5143a7512
151e33d83d185
hex10584b68fac

1123213021100 has 72 divisors (see below), whose sum is σ = 2517855263616. Its totient is φ = 434471040000.

The previous prime is 1123213021039. The next prime is 1123213021109. The reversal of 1123213021100 is 11203123211.

It is not an unprimeable number, because it can be changed into a prime (1123213021109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4085990 + ... + 4352210.

Almost surely, 21123213021100 is an apocalyptic number.

1123213021100 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 1123213021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258927631808).

1123213021100 is an abundant number, since it is smaller than the sum of its proper divisors (1394642242516).

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

1123213021100 is a wasteful number, since it uses less digits than its factorization.

1123213021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267627 (or 267620 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1123213021100 its reverse (11203123211), we get a palindrome (1134416144311).

The spelling of 1123213021100 in words is "one trillion, one hundred twenty-three billion, two hundred thirteen million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1361 1550 2722 3100 5444 6805 13610 27220 34025 42191 68050 84382 136100 168764 210955 266221 421910 532442 843820 1054775 1064884 1331105 2109550 2662210 4219100 5324420 6655525 8252851 13311050 16505702 26622100 33011404 41264255 82528510 165057020 206321275 362326781 412642550 724653562 825285100 1449307124 1811633905 3623267810 7246535620 9058169525 11232130211 18116339050 22464260422 36232678100 44928520844 56160651055 112321302110 224642604220 280803255275 561606510550 1123213021100