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201000000971 = 711231278771019
BaseRepresentation
bin1011101100110010001…
…0001001110111001011
3201012211000221222221102
42323030202021313023
511243122000012341
6232201011332015
720343652550510
oct2731442116713
9635730858842
10201000000971
1178275295790
1232b565b100b
1315c53559923
149a2ac2d307
155366155c9b
hex2ecc889dcb

201000000971 has 64 divisors (see below), whose sum is σ = 264111390720. Its totient is φ = 148318853760.

The previous prime is 201000000967. The next prime is 201000000979. The reversal of 201000000971 is 179000000102.

It is not a de Polignac number, because 201000000971 - 22 = 201000000967 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201000000979) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197251700 + ... + 197252718.

It is an arithmetic number, because the mean of its divisors is an integer number (4126740480).

Almost surely, 2201000000971 is an apocalyptic number.

201000000971 is a deficient number, since it is larger than the sum of its proper divisors (63111389749).

201000000971 is a wasteful number, since it uses less digits than its factorization.

201000000971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064.

The product of its (nonzero) digits is 126, while the sum is 20.

The spelling of 201000000971 in words is "two hundred one billion, nine hundred seventy-one", and thus it is an aban number.

Divisors: 1 7 11 23 77 127 161 253 877 889 1019 1397 1771 2921 6139 7133 9647 9779 11209 20171 20447 23437 32131 67529 78463 111379 129413 141197 164059 221881 224917 257807 779653 893663 905891 1225169 1423543 1553167 1804649 2561717 2976499 6255641 8576183 9830293 9964801 17932019 20554249 20835493 28178887 32741489 68812051 113495201 143879743 197252209 226096739 229190423 794466407 1248447211 1582677173 2610389623 8739130477 18272727361 28714285853 201000000971