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104123211220 = 225723206915629
BaseRepresentation
bin110000011111000111…
…0100001110111010100
3100221202112012011201101
41200332032201313110
53201221020224340
6115500013435444
710344161456320
oct1407616416724
9327675164641
10104123211220
1140181924786
121821a79bb84
139a84b108b2
14507a8c8980
152a961ebc9a
hex183e3a1dd4

104123211220 has 96 divisors (see below), whose sum is σ = 260903462400. Its totient is φ = 34128551424.

The previous prime is 104123211097. The next prime is 104123211251. The reversal of 104123211220 is 22112321401.

It is a super-2 number, since 2×1041232112202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6654366 + ... + 6669994.

It is an arithmetic number, because the mean of its divisors is an integer number (2717744400).

Almost surely, 2104123211220 is an apocalyptic number.

104123211220 is a gapful number since it is divisible by the number (10) 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 104123211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130451731200).

104123211220 is an abundant number, since it is smaller than the sum of its proper divisors (156780251180).

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

104123211220 is a wasteful number, since it uses less digits than its factorization.

104123211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17737 (or 17735 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 104123211220 its reverse (22112321401), we get a palindrome (126235532621).

The spelling of 104123211220 in words is "one hundred four billion, one hundred twenty-three million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 2069 3220 4138 8276 10345 14483 15629 20690 28966 31258 41380 47587 57932 62516 72415 78145 95174 109403 144830 156290 190348 218806 237935 289660 312580 333109 359467 437612 475870 547015 666218 718934 951740 1094030 1332436 1437868 1665545 1797335 2188060 2516269 3331090 3594670 5032538 6662180 7189340 10065076 12581345 25162690 32336401 50325380 64672802 129345604 161682005 226354807 323364010 452709614 646728020 743737223 905419228 1131774035 1487474446 2263548070 2974948892 3718686115 4527096140 5206160561 7437372230 10412321122 14874744460 20824642244 26030802805 52061605610 104123211220