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211063076145 = 325191270319433
BaseRepresentation
bin1100010010010001010…
…1101111010100110001
3202011210100102011221100
43010210111233110301
511424224121414040
6240543330115013
721151224355215
oct3044425572461
9664710364840
10211063076145
1181569671039
1234aa471ba69
1316b9832c98c
14a3034d0945
155754822b30
hex312456f531

211063076145 has 48 divisors (see below), whose sum is σ = 385147676160. Its totient is φ = 106628514048.

The previous prime is 211063076143. The next prime is 211063076179. The reversal of 211063076145 is 541670360112.

211063076145 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 6 + 30 + 7 + 614 + 5 = 666.

It is not a de Polignac number, because 211063076145 - 21 = 211063076143 is a prime.

It is a super-2 number, since 2×2110630761452 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211063076143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10851349 + ... + 10870781.

It is an arithmetic number, because the mean of its divisors is an integer number (8023909920).

Almost surely, 2211063076145 is an apocalyptic number.

It is an amenable number.

211063076145 is a deficient number, since it is larger than the sum of its proper divisors (174084600015).

211063076145 is a wasteful number, since it uses less digits than its factorization.

211063076145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32166 (or 32163 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 211063076145 in words is "two hundred eleven billion, sixty-three million, seventy-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 12703 19433 38109 58299 63515 97165 114327 174897 190545 241357 291495 369227 571635 724071 874485 1107681 1206785 1846135 2172213 3323043 3620355 5538405 10861065 16615215 246857399 740572197 1234286995 2221716591 3702860985 4690290581 11108582955 14070871743 23451452905 42212615229 70354358715 211063076145