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100001332033122 = 23131793780486431
BaseRepresentation
bin10110101111001101011111…
…110111110111011001100010
3111010002000220202202211012210
4112233031133313313121202
5101101410212000024442
6552403551104502550
730030600142216602
oct2657153767673142
9433060822684183
10100001332033122
11299553659a33a3
12b270b1791aa56
1343a51150b8420
141a9a139ab0c02
15b863e66db19c
hex5af35fdf7662

100001332033122 has 64 divisors (see below), whose sum is σ = 228300730205184. Its totient is φ = 28928754616320.

The previous prime is 100001332033091. The next prime is 100001332033159. The reversal of 100001332033122 is 221330233100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39000754 + ... + 41485677.

It is an arithmetic number, because the mean of its divisors is an integer number (3567198909456).

Almost surely, 2100001332033122 is an apocalyptic number.

100001332033122 is an abundant number, since it is smaller than the sum of its proper divisors (128299398172062).

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

100001332033122 is a wasteful number, since it uses less digits than its factorization.

100001332033122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80487403.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100001332033122 its reverse (221330233100001), we get a palindrome (321331565133123).

The spelling of 100001332033122 in words is "one hundred trillion, one billion, three hundred thirty-two million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 937 1326 1874 2811 5622 12181 15929 24362 31858 36543 47787 73086 95574 207077 414154 621231 1242462 80486431 160972862 241459293 482918586 1046323603 1368269327 2092647206 2736538654 3138970809 4104807981 6277941618 8209615962 17787501251 35575002502 53362503753 75415785847 106725007506 150831571694 226247357541 452494715082 980405216011 1282068359399 1960810432022 2564136718798 2941215648033 3846205078197 5882431296066 7692410156394 16666888672187 33333777344374 50000666016561 100001332033122