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211723283156 = 227114149134147
BaseRepresentation
bin1100010100101110110…
…0001110101011010100
3202020111100201011200212
43011023230032223110
511432102130030111
6241133032424552
721203462133050
oct3051354165324
9666440634625
10211723283156
1181878301370
1235049848158
1316c72048808
14a36706ac60
15579278498b
hex314bb0ead4

211723283156 has 96 divisors (see below), whose sum is σ = 474186230784. Its totient is φ = 80311392000.

The previous prime is 211723283153. The next prime is 211723283179. The reversal of 211723283156 is 651382327112.

211723283156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211723283153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6183275 + ... + 6217421.

It is an arithmetic number, because the mean of its divisors is an integer number (4939439904).

Almost surely, 2211723283156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211723283156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237093115392).

211723283156 is an abundant number, since it is smaller than the sum of its proper divisors (262462947628).

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

211723283156 is a wasteful number, since it uses less digits than its factorization.

211723283156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34701 (or 34699 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The spelling of 211723283156 in words is "two hundred eleven billion, seven hundred twenty-three million, two hundred eighty-three thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 491 574 902 982 1148 1804 1964 3157 3437 5401 6314 6874 10802 12628 13748 20131 21604 34147 37807 40262 68294 75614 80524 136588 140917 151228 221441 239029 281834 375617 442882 478058 563668 751234 885764 956116 1400027 1502468 1550087 2629319 2800054 3100174 5258638 5600108 6200348 9800189 10517276 15400297 16766177 19600378 30800594 33532354 39200756 61601188 67064708 107802079 117363239 184427947 215604158 234726478 368855894 431208316 469452956 687413257 737711788 1290995629 1374826514 2581991258 2749653028 4811892799 5163982516 7561545827 9623785598 15123091654 19247571196 30246183308 52930820789 105861641578 211723283156