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12434003001 = 32731139163281
BaseRepresentation
bin10111001010001111…
…11101010000111001
31012002112202210112200
423211013331100321
5200431101044001
65413451500413
7620061165420
oct134507752071
935075683480
1012434003001
115300741542
1224b0157709
131232050134
1485d5142b7
154cb8ee086
hex2e51fd439

12434003001 has 96 divisors (see below), whose sum is σ = 21547868160. Its totient is φ = 6760454400.

The previous prime is 12434002981. The next prime is 12434003053. The reversal of 12434003001 is 10030043421.

12434003001 is a `hidden beast` number, since 1 + 24 + 340 + 0 + 300 + 1 = 666.

It is not a de Polignac number, because 12434003001 - 29 = 12434002489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12434003081) 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 95 ways as a sum of consecutive naturals, for example, 44248981 + ... + 44249261.

It is an arithmetic number, because the mean of its divisors is an integer number (224456960).

Almost surely, 212434003001 is an apocalyptic number.

It is an amenable number.

12434003001 is a deficient number, since it is larger than the sum of its proper divisors (9113865159).

12434003001 is a wasteful number, since it uses less digits than its factorization.

12434003001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12434003001 its reverse (10030043421), we get a palindrome (22464046422).

The spelling of 12434003001 in words is "twelve billion, four hundred thirty-four million, three thousand, one".

Divisors: 1 3 7 9 21 31 63 93 139 163 217 279 281 417 489 651 843 973 1141 1251 1467 1953 1967 2529 2919 3423 4309 5053 5901 8711 8757 10269 12927 15159 17703 22657 26133 30163 35371 38781 39059 45477 45803 60977 67971 78399 90489 106113 117177 137409 158599 182931 203913 271467 273413 318339 320621 351531 412227 475797 548793 702367 820239 961863 1210829 1419893 1427391 2107101 2460717 2885589 3632487 4259679 4916569 6321303 6366617 8475803 9939251 10897461 12779037 14749707 19099851 25427409 29817753 44249121 44566319 57299553 76282227 89453259 133698957 197365127 401096871 592095381 1381555889 1776286143 4144667667 12434003001