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102221202104 = 237371133311319
BaseRepresentation
bin101111100110011011…
…0111100001010111000
3100202211222020002201022
41133030312330022320
53133322111431404
6114543151042012
710246064611250
oct1371466741270
9322758202638
10102221202104
113a39622711a
1217989810308
139840a55708
144d3a05a960
1529d42438be
hex17ccdbc2b8

102221202104 has 128 divisors (see below), whose sum is σ = 227814681600. Its totient is φ = 42088273920.

The previous prime is 102221202101. The next prime is 102221202119. The reversal of 102221202104 is 401202122201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221202101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77498357 + ... + 77499675.

It is an arithmetic number, because the mean of its divisors is an integer number (1779802200).

Almost surely, 2102221202104 is an apocalyptic number.

102221202104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113907340800).

102221202104 is an abundant number, since it is smaller than the sum of its proper divisors (125593479496).

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

102221202104 is a wasteful number, since it uses less digits than its factorization.

102221202104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102221202104 its reverse (401202122201), we get a palindrome (503423324305).

The spelling of 102221202104 in words is "one hundred two billion, two hundred twenty-one million, two hundred two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 37 56 74 113 148 226 259 296 331 452 518 662 791 904 1036 1319 1324 1582 2072 2317 2638 2648 3164 4181 4634 5276 6328 8362 9233 9268 10552 12247 16724 18466 18536 24494 29267 33448 36932 37403 48803 48988 58534 73864 74806 85729 97606 97976 117068 149047 149612 171458 195212 234136 261821 298094 299224 341621 342916 390424 436589 523642 596188 683242 685832 873178 1043329 1047284 1192376 1366484 1383911 1746356 2086658 2094568 2732968 2767822 3056123 3492712 4173316 5514739 5535644 6112246 8346632 9687377 11029478 11071288 12224492 16153793 19374754 22058956 24448984 32307586 38603173 38749508 44117912 49334557 64615172 77206346 77499016 98669114 113076551 129230344 154412692 197338228 226153102 308825384 345341899 394676456 452306204 690683798 904612408 1381367596 1825378609 2762735192 3650757218 7301514436 12777650263 14603028872 25555300526 51110601052 102221202104