Search a number
-
+
323220302130132 = 22351131795363113
BaseRepresentation
bin100100101111101111001011…
…1010010101110101111010100
31120101102120002121000010100000
41021133132113102232233110
5314331120134321131012
63103233205033051300
7125036616254130621
oct11137362722565724
91511376077003300
10323220302130132
1193a95a62242280
1230302315256b30
1310b4770b6a7a64
1459b5d3611d348
152757a7d908ddc
hex125f7974aebd4

323220302130132 has 144 divisors (see below), whose sum is σ = 927231578425152. Its totient is φ = 97636568590080.

The previous prime is 323220302130101. The next prime is 323220302130137. The reversal of 323220302130132 is 231031203022323.

323220302130132 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 20 + 302 + 1 + 301 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 323220302130096 and 323220302130105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323220302130137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44292193 + ... + 51070920.

It is an arithmetic number, because the mean of its divisors is an integer number (6439108183508).

Almost surely, 2323220302130132 is an apocalyptic number.

It is an amenable number.

323220302130132 is an abundant number, since it is smaller than the sum of its proper divisors (604011276295020).

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

323220302130132 is a wasteful number, since it uses less digits than its factorization.

323220302130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95363460 (or 95363446 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 323220302130132 its reverse (231031203022323), we get a palindrome (554251505152455).

The spelling of 323220302130132 in words is "three hundred twenty-three trillion, two hundred twenty billion, three hundred two million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 317 324 396 486 594 634 891 951 972 1188 1268 1782 1902 2673 2853 3487 3564 3804 5346 5706 6974 8559 10461 10692 11412 13948 17118 20922 25677 31383 34236 41844 51354 62766 77031 94149 102708 125532 154062 188298 282447 308124 376596 564894 847341 1129788 1694682 3389364 95363113 190726226 286089339 381452452 572178678 858268017 1048994243 1144357356 1716536034 2097988486 2574804051 3146982729 3433072068 4195976972 5149608102 6293965458 7724412153 9440948187 10299216204 12587930916 15448824306 18881896374 23173236459 28322844561 30230106821 30897648612 37763792748 46346472918 56645689122 60460213642 84968533683 90690320463 92692945836 113291378244 120920427284 169937067366 181380640926 254905601049 272070961389 332531175031 339874134732 362761281852 509811202098 544141922778 665062350062 816212884167 997593525093 1019622404196 1088283845556 1330124700124 1632425768334 1995187050186 2448638652501 2992780575279 3264851536668 3990374100372 4897277305002 5985561150558 7345915957503 8978341725837 9794554610004 11971122301116 14691831915006 17956683451674 26935025177511 29383663830012 35913366903348 53870050355022 80805075532533 107740100710044 161610151065066 323220302130132