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201002010040 = 235131920344333
BaseRepresentation
bin1011101100110010100…
…1110100010110111000
3201012211011202001212101
42323030221310112320
511243123003310130
6232201122353144
720344005616036
oct2731451642670
9635734661771
10201002010040
1178276438177
1232b571bb7b4
1315c53ab1220
149a2b1d3556
1553664011ca
hex2ecca745b8

201002010040 has 64 divisors (see below), whose sum is σ = 512677216800. Its totient is φ = 70310011392.

The previous prime is 201002009993. The next prime is 201002010047. The reversal of 201002010040 is 40010200102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201002009999 and 201002010026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002010047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10162287 + ... + 10182046.

Almost surely, 2201002010040 is an apocalyptic number.

201002010040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002010040 is an abundant number, since it is smaller than the sum of its proper divisors (311675206760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201002010040 is a wasteful number, since it uses less digits than its factorization.

201002010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20344376 (or 20344372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201002010040 its reverse (40010200102), we get a palindrome (241012210142).

The spelling of 201002010040 in words is "two hundred one billion, two million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 20344333 40688666 81377332 101721665 162754664 203443330 264476329 386542327 406886660 528952658 773084654 813773320 1057905316 1322381645 1546169308 1932711635 2115810632 2644763290 3092338616 3865423270 5025050251 5289526580 7730846540 10050100502 10579053160 15461693080 20100201004 25125251255 40200402008 50250502510 100501005020 201002010040