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20311106166 = 23213683312703
BaseRepresentation
bin10010111010101000…
…101110001001110110
31221102111221002200100
4102322220232021312
5313044120344131
613155241254530
71316220360651
oct227250561166
957374832610
1020311106166
1186830a975a
123b2a194446
131bb8c93920
14da974a898
157dd2207e6
hex4baa2e276

20311106166 has 48 divisors (see below), whose sum is σ = 47403248256. Its totient is φ = 6248164608.

The previous prime is 20311106149. The next prime is 20311106173. The reversal of 20311106166 is 66160111302.

20311106166 is a `hidden beast` number, since 2 + 0 + 31 + 1 + 10 + 616 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1592571 + ... + 1605273.

It is an arithmetic number, because the mean of its divisors is an integer number (987567672).

Almost surely, 220311106166 is an apocalyptic number.

20311106166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20311106166 is an abundant number, since it is smaller than the sum of its proper divisors (27092142090).

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

20311106166 is a wasteful number, since it uses less digits than its factorization.

20311106166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19557 (or 19554 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 20311106166 its reverse (66160111302), we get a palindrome (86471217468).

The spelling of 20311106166 in words is "twenty billion, three hundred eleven million, one hundred six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 6833 12703 13666 20499 25406 38109 40998 61497 76218 88829 114327 122994 165139 177658 228654 266487 330278 495417 532974 799461 990834 1486251 1598922 2972502 86799599 173599198 260398797 520797594 781196391 1128394787 1562392782 2256789574 3385184361 6770368722 10155553083 20311106166