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211107156 = 2231317233461
BaseRepresentation
bin11001001010100…
…11110101010100
3112201020100120120
430211103311110
5413020412111
632540431540
75142244521
oct1445236524
9481210516
10211107156
11a9189a27
125a8485b0
1334975aa0
1420074148
1513800406
hexc953d54

211107156 has 96 divisors (see below), whose sum is σ = 586268928. Its totient is φ = 58460160.

The previous prime is 211107131. The next prime is 211107161. The reversal of 211107156 is 651701112.

211107156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59266 + ... + 62726.

It is an arithmetic number, because the mean of its divisors is an integer number (6106968).

Almost surely, 2211107156 is an apocalyptic number.

211107156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211107156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293134464).

211107156 is an abundant number, since it is smaller than the sum of its proper divisors (375161772).

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

211107156 is a wasteful number, since it uses less digits than its factorization.

211107156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 211107156 is about 14529.5270397904. The cubic root of 211107156 is about 595.4349440839.

Adding to 211107156 its reverse (651701112), we get a palindrome (862808268).

The spelling of 211107156 in words is "two hundred eleven million, one hundred seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 299 391 442 598 663 782 884 897 1173 1196 1326 1564 1794 2346 2652 3461 3588 4692 5083 6922 10166 10383 13844 15249 20332 20766 30498 41532 44993 58837 60996 79603 89986 117674 134979 159206 176511 179972 235348 238809 269958 318412 353022 477618 539916 706044 764881 955236 1034839 1353251 1529762 2069678 2294643 2706502 3059524 3104517 4059753 4139356 4589286 5413004 6209034 8119506 9178572 12418068 16239012 17592263 35184526 52776789 70369052 105553578 211107156