Search a number
-
+
20003512635135 = 32512734910029161
BaseRepresentation
bin1001000110001011011100…
…10000111100111011111111
32121211022120012002212012100
410203011232100330323333
510110214143213311020
6110313253054040143
74133130455644431
oct443055620747377
977738505085170
1020003512635135
116412495434887
1222b0993aa9053
13b21427c55473
144d2264988651
1524a50d43ba90
hex12316e43ceff

20003512635135 has 48 divisors (see below), whose sum is σ = 35045903692800. Its totient is φ = 10554206584320.

The previous prime is 20003512635121. The next prime is 20003512635151. The reversal of 20003512635135 is 53153621530002.

20003512635135 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 5 + 1 + 2 + 635 + 13 + 5 = 666.

It is not a de Polignac number, because 20003512635135 - 213 = 20003512626943 is a prime.

It is a super-3 number, since 3×200035126351353 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20003512635135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3020046 + ... + 7009115.

It is an arithmetic number, because the mean of its divisors is an integer number (730122993600).

Almost surely, 220003512635135 is an apocalyptic number.

20003512635135 is a deficient number, since it is larger than the sum of its proper divisors (15042391057665).

20003512635135 is a wasteful number, since it uses less digits than its factorization.

20003512635135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029648 (or 10029645 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 20003512635135 in words is "twenty trillion, three billion, five hundred twelve million, six hundred thirty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 127 349 381 635 1047 1143 1745 1905 3141 5235 5715 15705 44323 132969 221615 398907 664845 1994535 10029161 30087483 50145805 90262449 150437415 451312245 1273703447 3500177189 3821110341 6368517235 10500531567 11463331023 17500885945 19105551705 31501594701 52502657835 57316655115 157507973505 444522503003 1333567509009 2222612515015 4000702527027 6667837545045 20003512635135