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1223331101132 = 22719319932009
BaseRepresentation
bin10001110011010100001…
…101110011100111001100
311022221122001021211221012
4101303110031303213030
5130020340230214012
62333553543024352
7154245166535030
oct21632415634714
94287561254835
101223331101132
114318a2572758
1217910b13b0b8
138b48a143baa
14432d0da41c0
1521c4d0ee622
hex11cd43739cc

1223331101132 has 96 divisors (see below), whose sum is σ = 2595626880000. Its totient is φ = 494179449984.

The previous prime is 1223331101131. The next prime is 1223331101141. The reversal of 1223331101132 is 2311011333221.

It is a super-2 number, since 2×12233311011322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1223331101098 and 1223331101107.

It is not an unprimeable number, because it can be changed into a prime (1223331101131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38202344 + ... + 38234352.

It is an arithmetic number, because the mean of its divisors is an integer number (27037780000).

Almost surely, 21223331101132 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 1223331101132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297813440000).

1223331101132 is an abundant number, since it is smaller than the sum of its proper divisors (1372295778868).

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

1223331101132 is a wasteful number, since it uses less digits than its factorization.

1223331101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32276 (or 32236 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1223331101132 its reverse (2311011333221), we get a palindrome (3534342434353).

The spelling of 1223331101132 in words is "one trillion, two hundred twenty-three billion, three hundred thirty-one million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 199 266 361 398 532 722 796 1393 1444 2527 2786 3781 5054 5572 6859 7562 10108 13718 15124 26467 27436 32009 48013 52934 64018 71839 96026 105868 128036 143678 192052 224063 287356 448126 502873 608171 896252 1005746 1216342 1364941 2011492 2432684 2729882 4257197 5459764 6369791 8514394 9554587 11555249 12739582 17028788 19109174 23110498 25479164 38218348 44588537 46220996 80886743 89177074 121026029 161773486 178354148 219549731 242052058 323546972 439099462 484104116 847182203 878198924 1536848117 1694364406 2299494551 3073696234 3388728812 4598989102 6147392468 9197978204 16096461857 32192923714 43690396469 64385847428 87380792938 174761585876 305832775283 611665550566 1223331101132