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2121331032 = 233423317449
BaseRepresentation
bin111111001110000…
…1111000101011000
312110211122210010000
41332130033011120
513321030043112
6550255253000
7103366005402
oct17634170530
95424583100
102121331032
11999488447
124b251a160
1327a649082
14161a3db72
15c637c7dc
hex7e70f158

2121331032 has 160 divisors (see below), whose sum is σ = 6233436000. Its totient is φ = 672731136.

The previous prime is 2121331031. The next prime is 2121331049. The reversal of 2121331032 is 2301331212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121330996 and 2121331014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121331031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4724344 + ... + 4724792.

It is an arithmetic number, because the mean of its divisors is an integer number (38958975).

Almost surely, 22121331032 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 2121331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116718000).

2121331032 is an abundant number, since it is smaller than the sum of its proper divisors (4112104968).

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

2121331032 is a wasteful number, since it uses less digits than its factorization.

2121331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2121331032 is about 46057.9095487409. The cubic root of 2121331032 is about 1284.9004514423.

Adding to 2121331032 its reverse (2301331212), we get a palindrome (4422662244).

The spelling of 2121331032 in words is "two billion, one hundred twenty-one million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 317 324 414 449 552 621 634 648 828 898 951 1242 1268 1347 1656 1796 1863 1902 2484 2536 2694 2853 3592 3726 3804 4041 4968 5388 5706 7291 7452 7608 8082 8559 10327 10776 11412 12123 14582 14904 16164 17118 20654 21873 22824 24246 25677 29164 30981 32328 34236 36369 41308 43746 48492 51354 58328 61962 65619 68472 72738 82616 87492 92943 96984 102708 123924 131238 142333 145476 174984 185886 196857 205416 247848 262476 278829 284666 290952 371772 393714 426999 524952 557658 569332 590571 743544 787428 836487 853998 1115316 1138664 1181142 1280997 1574856 1672974 1707996 2230632 2362284 2561994 3273659 3345948 3415992 3842991 4724568 5123988 6547318 6691896 7685982 9820977 10247976 11528973 13094636 15371964 19641954 23057946 26189272 29462931 30743928 39283908 46115892 58925862 78567816 88388793 92231784 117851724 176777586 235703448 265166379 353555172 530332758 707110344 1060665516 2121331032