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20132123031 = 32232941157521
BaseRepresentation
bin10010101111111101…
…111101000110010111
31220222001010210222100
4102233331331012113
5312212310414111
613125405133143
71311615136146
oct225775750627
956861123870
1020132123031
1185a1071009
123a9a25a1b3
131b8ab87847
14d8da7975d
157cc668756
hex4aff7d197

20132123031 has 96 divisors (see below), whose sum is σ = 32422965120. Its totient is φ = 11992780800.

The previous prime is 20132123023. The next prime is 20132123041. The reversal of 20132123031 is 13032123102.

It is not a de Polignac number, because 20132123031 - 23 = 20132123023 is a prime.

It is a super-2 number, since 2×201321230312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20132122995 and 20132123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132123041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38641051 + ... + 38641571.

It is an arithmetic number, because the mean of its divisors is an integer number (337739220).

Almost surely, 220132123031 is an apocalyptic number.

20132123031 is a deficient number, since it is larger than the sum of its proper divisors (12290842089).

20132123031 is a wasteful number, since it uses less digits than its factorization.

20132123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 774 counting only the distinct ones).

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

Adding to 20132123031 its reverse (13032123102), we get a palindrome (33164246133).

The spelling of 20132123031 in words is "twenty billion, one hundred thirty-two million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 23 29 41 69 87 123 157 207 261 369 471 521 667 943 1189 1413 1563 2001 2829 3567 3611 4553 4689 6003 6437 8487 10701 10833 11983 13659 15109 19311 21361 27347 32499 35949 40977 45327 57933 64083 81797 82041 104719 107847 135981 148051 186673 192249 245391 246123 314157 347507 444153 491303 560019 619469 736173 942471 1042521 1332459 1473909 1680057 1858407 1881331 2372113 3127563 3353677 4293479 4421727 5575221 5643993 7116339 10061031 12880437 14247787 16931979 21349017 30183093 38641311 42743361 54558599 77134571 97256633 128230083 163675797 231403713 291769899 491027391 694211139 875309697 2236902559 6710707677 20132123031