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32121212123 = 71121331139677
BaseRepresentation
bin11101111010100100…
…101100110011011011
310001220120201122101002
4131322210230303123
51011241012241443
622431205015215
72214664540520
oct357244546333
9101816648332
1032121212123
1112693650100
1262853b450b
13304b99bcc0
1417aa057147
15c7ee812b8
hex77a92ccdb

32121212123 has 96 divisors (see below), whose sum is σ = 45245706240. Its totient is φ = 22165228800.

The previous prime is 32121212111. The next prime is 32121212197.

32121212123 is nontrivially palindromic in base 10.

32121212123 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 32121212123 - 210 = 32121211099 is a prime.

It is a super-3 number, since 3×321212121233 (a number of 32 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 32121212095 and 32121212104.

It is not an unprimeable number, because it can be changed into a prime (32121212623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47446061 + ... + 47446737.

It is an arithmetic number, because the mean of its divisors is an integer number (471309440).

Almost surely, 232121212123 is an apocalyptic number.

32121212123 is a deficient number, since it is larger than the sum of its proper divisors (13124494117).

32121212123 is a wasteful number, since it uses less digits than its factorization.

32121212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 878 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The spelling of 32121212123 in words is "thirty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 7 11 13 31 77 91 121 139 143 217 341 403 677 847 973 1001 1529 1573 1807 2387 2821 3751 4309 4433 4739 7447 8801 10703 11011 12649 16819 19877 20987 26257 30163 31031 47399 48763 52129 56017 61607 81917 94103 96811 117733 139139 146909 218647 230857 272831 331793 341341 392119 521389 573419 616187 658721 677677 1035133 1064921 1223339 1530529 1615999 1909817 2539427 2917193 3001141 3649723 4313309 6778057 7245931 7454447 8563373 11386463 13456729 17775989 20420351 21007987 32089123 33012551 37923509 47446399 79705241 94197103 148024019 224623861 231087857 265464563 352980353 417158599 1036168133 2470862471 2920110193 4588744589 32121212123