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133122363066 = 232711839114479
BaseRepresentation
bin111101111111010110…
…1100000111010111010
3110201121112012201112100
41323332231200322322
54140113311104231
6141053334124230
712421616262450
oct1737655407272
9421545181470
10133122363066
1151503115780
12219724b0676
13c726a2c744
14662c0449d0
1536e20281e6
hex1efeb60eba

133122363066 has 96 divisors (see below), whose sum is σ = 360035020800. Its totient is φ = 34535723040.

The previous prime is 133122363061. The next prime is 133122363083. The reversal of 133122363066 is 660363221331.

133122363066 is a `hidden beast` number, since 1 + 3 + 3 + 12 + 2 + 3 + 630 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133122363066.

It is not an unprimeable number, because it can be changed into a prime (133122363061) 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, 1105615 + ... + 1220093.

It is an arithmetic number, because the mean of its divisors is an integer number (3750364800).

Almost surely, 2133122363066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133122363066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180017510400).

133122363066 is an abundant number, since it is smaller than the sum of its proper divisors (226912657734).

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

133122363066 is a wasteful number, since it uses less digits than its factorization.

133122363066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115344 (or 115341 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 133122363066 its reverse (660363221331), we get a palindrome (793485584397).

The spelling of 133122363066 in words is "one hundred thirty-three billion, one hundred twenty-two million, three hundred sixty-three thousand, sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 839 1386 1678 2517 5034 5873 7551 9229 11746 15102 17619 18458 27687 35238 52857 55374 64603 83061 105714 114479 129206 166122 193809 228958 343437 387618 581427 686874 801353 1030311 1162854 1259269 1602706 2060622 2404059 2518538 3777807 4808118 7212177 7555614 8814883 11333421 14424354 17629766 22666842 26444649 52889298 79333947 96047881 158667894 192095762 288143643 576287286 672335167 864430929 1056526691 1344670334 1728861858 2017005501 2113053382 3169580073 4034011002 6051016503 6339160146 7395686837 9508740219 12102033006 14791373674 19017480438 22187060511 44374121022 66561181533 133122363066