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102122304164424 = 233210344233113393
BaseRepresentation
bin10111001110000100110011…
…101010011101001001001000
3111101120210111222000200010100
4113032010303222131021020
5101341132434331230144
61001110201110245400
730340043616660255
oct2716046352351110
9441523458020110
10102122304164424
112a5a290a4179a5
12b553ba1056860
1344ca12706717b
141b30a62a3c42c
15bc167eb98269
hex5ce133a9d248

102122304164424 has 96 divisors (see below), whose sum is σ = 279329724535680. Its totient is φ = 33702642749952.

The previous prime is 102122304164411. The next prime is 102122304164429. The reversal of 102122304164424 is 424461403221201.

102122304164424 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 2 + 3 + 0 + 4 + 1 + 644 + 2 + 4 = 666.

It is a super-2 number, since 2×1021223041644242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102122304164429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31244272 + ... + 34357664.

It is an arithmetic number, because the mean of its divisors is an integer number (2909684630580).

Almost surely, 2102122304164424 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 102122304164424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139664862267840).

102122304164424 is an abundant number, since it is smaller than the sum of its proper divisors (177207420371256).

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

102122304164424 is a wasteful number, since it uses less digits than its factorization.

102122304164424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117931 (or 3117924 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 102122304164424 its reverse (424461403221201), we get a palindrome (526583707385625).

The spelling of 102122304164424 in words is "one hundred two trillion, one hundred twenty-two billion, three hundred four million, one hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 4423 7416 8846 13269 17692 26538 35384 39807 53076 79614 106152 159228 318456 455569 911138 1366707 1822276 2733414 3113393 3644552 4100121 5466828 6226786 8200242 9340179 10933656 12453572 16400484 18680358 24907144 28020537 32800968 37360716 56041074 74721432 112082148 224164296 320679479 641358958 962038437 1282717916 1924076874 2565435832 2886115311 3848153748 5772230622 7696307496 11544461244 13770537239 23088922488 27541074478 41311611717 55082148956 82623223434 110164297912 123934835151 165246446868 247869670302 330492893736 495739340604 991478681208 1418365335617 2836730671234 4255096006851 5673461342468 8510192013702 11346922684936 12765288020553 17020384027404 25530576041106 34040768054808 51061152082212 102122304164424