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106601245443 = 327113135314057
BaseRepresentation
bin110001101000111101…
…1011110101100000011
3101012011020001100121200
41203101323132230003
53221304404323233
6120545534352243
710462451431020
oct1432173365403
9335136040550
10106601245443
1141233695550
12187b065b683
13a08b31bc34
145233a5c547
152b8da39313
hex18d1edeb03

106601245443 has 96 divisors (see below), whose sum is σ = 198742781952. Its totient is φ = 53435289600.

The previous prime is 106601245391. The next prime is 106601245447. The reversal of 106601245443 is 344542106601.

106601245443 is a `hidden beast` number, since 1 + 0 + 6 + 601 + 2 + 4 + 5 + 4 + 43 = 666.

It is not a de Polignac number, because 106601245443 - 29 = 106601244931 is a prime.

It is a super-2 number, since 2×1066012454432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106601245398 and 106601245407.

It is not an unprimeable number, because it can be changed into a prime (106601245447) 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, 7576471 + ... + 7590527.

It is an arithmetic number, because the mean of its divisors is an integer number (2070237312).

Almost surely, 2106601245443 is an apocalyptic number.

106601245443 is a deficient number, since it is larger than the sum of its proper divisors (92141536509).

106601245443 is a wasteful number, since it uses less digits than its factorization.

106601245443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14465 (or 14462 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106601245443 in words is "one hundred six billion, six hundred one million, two hundred forty-five thousand, four hundred forty-three".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 353 651 693 1023 1059 1953 2387 2471 3069 3177 3883 7161 7413 10943 11649 14057 21483 22239 27181 32829 34947 42171 76601 81543 98399 98487 120373 126513 154627 229803 244629 295197 361119 435767 463881 689409 842611 885591 1082389 1083357 1307301 1391643 2527833 3050369 3247167 3921903 4793437 4962121 7583499 9151107 9741501 14380311 14886363 27453321 33554059 34734847 43140933 44659089 54583331 100662177 104204541 153825751 163749993 301986531 312613623 382083317 461477253 491249979 1076780257 1146249951 1384431759 1692083261 3230340771 3438749853 5076249783 9691022313 11844582827 15228749349 35533748481 106601245443