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133102343124 = 22351075232447
BaseRepresentation
bin111101111110110000…
…1001001001111010100
3110201120010112121100000
41323331201021033110
54140043144434444
6141051341051300
712421254151332
oct1737541111724
9421503477300
10133102343124
11514a2891473
1221967856b30
13c72284021a
146629512b52
1536e03c1469
hex1efd8493d4

133102343124 has 144 divisors (see below), whose sum is σ = 352992826368. Its totient is φ = 43850831328.

The previous prime is 133102343107. The next prime is 133102343141. The reversal of 133102343124 is 421343201331.

It is a happy number.

133102343124 is a `hidden beast` number, since 1 + 3 + 310 + 2 + 34 + 312 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (133102343107) and next prime (133102343141).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54392869 + ... + 54395315.

It is an arithmetic number, because the mean of its divisors is an integer number (2451339072).

Almost surely, 2133102343124 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 133102343124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176496413184).

133102343124 is an abundant number, since it is smaller than the sum of its proper divisors (219890483244).

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

133102343124 is a wasteful number, since it uses less digits than its factorization.

133102343124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133102343124 its reverse (421343201331), we get a palindrome (554445544455).

The spelling of 133102343124 in words is "one hundred thirty-three billion, one hundred two million, three hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 523 642 963 972 1046 1284 1569 1926 2092 2447 2889 3138 3852 4707 4894 5778 6276 7341 8667 9414 9788 11556 14121 14682 17334 18828 22023 26001 28242 29364 34668 42363 44046 52002 55961 56484 66069 84726 88092 104004 111922 127089 132138 167883 169452 198207 223844 254178 261829 264276 335766 396414 503649 508356 523658 594621 671532 785487 792828 1007298 1047316 1189242 1279781 1510947 1570974 2014596 2356461 2378484 2559562 3021894 3141948 3839343 4532841 4712922 5119124 6043788 7069383 7678686 9065682 9425844 11518029 13598523 14138766 15357372 18131364 21208149 23036058 27197046 28277532 34554087 42416298 46072116 54394092 63624447 69108174 84832596 103662261 127248894 136936567 138216348 207324522 254497788 273873134 310986783 410809701 414649044 547746268 621973566 821619402 1232429103 1243947132 1643238804 2464858206 3697287309 4929716412 7394574618 11091861927 14789149236 22183723854 33275585781 44367447708 66551171562 133102343124