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107813602204 = 227211193078573
BaseRepresentation
bin110010001101000110…
…0010000001110011100
3101022021201022110102221
41210122030100032130
53231300240232304
6121310123355124
710534502332600
oct1443214201634
9338251273387
10107813602204
11417a5a71090
1218a8a682aa4
13a22254b8b9
14530aa87500
152c101b6054
hex191a31039c

107813602204 has 144 divisors (see below), whose sum is σ = 252882241920. Its totient is φ = 39660243840.

The previous prime is 107813602199. The next prime is 107813602231. The reversal of 107813602204 is 402206318701.

It is a self number, because there is not a number n which added to its sum of digits gives 107813602204.

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, 12571662 + ... + 12580234.

It is an arithmetic number, because the mean of its divisors is an integer number (1756126680).

Almost surely, 2107813602204 is an apocalyptic number.

107813602204 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 107813602204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126441120960).

107813602204 is an abundant number, since it is smaller than the sum of its proper divisors (145068639716).

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

107813602204 is a wasteful number, since it uses less digits than its factorization.

107813602204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8919 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

It can be divided in two parts, 107813 and 602204, that added together give a palindrome (710017).

The spelling of 107813602204 in words is "one hundred seven billion, eight hundred thirteen million, six hundred two thousand, two hundred four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 133 154 196 209 266 307 308 418 532 539 614 836 931 1078 1228 1463 1862 2149 2156 2926 3377 3724 4298 5833 5852 6754 8573 8596 10241 11666 13508 15043 17146 20482 23332 23639 30086 34292 40831 40964 47278 60011 60172 64163 81662 94303 94556 120022 128326 162887 163324 165473 188606 240044 256652 285817 325774 330946 377212 420077 449141 571634 651548 660121 661892 840154 898282 1140209 1143268 1320242 1680308 1791757 1796564 2280418 2631911 2640484 3143987 3583514 4560836 4620847 5263822 6287974 7167028 7981463 9241694 10527644 12542299 12575948 15962926 18423377 18483388 25084598 28951021 31925852 36846754 50006309 50169196 57902042 73693508 87796093 100012618 115804084 128963639 175592186 200025236 202657147 257927278 350044163 351184372 405314294 515854556 550069399 700088326 810628588 1100138798 1400176652 1418600029 2200277596 2450309141 2837200058 3850485793 4900618282 5674400116 7700971586 9801236564 15401943172 26953400551 53906801102 107813602204