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104434202115210 = 235112320359675841
BaseRepresentation
bin10111101111101101111011…
…100001001111110010001010
3111200202210221002220001222110
4113233231323201033302022
5102142022221220141320
61010040224331003150
730666056612216112
oct2757557341176212
9450683832801873
10104434202115210
1130304329555560
12b86806ab994b6
1346371453b14b6
141bb08dc886042
15c1188eb485e0
hex5efb7b84fc8a

104434202115210 has 128 divisors (see below), whose sum is σ = 285330327736320. Its totient is φ = 24215401267200.

The previous prime is 104434202115197. The next prime is 104434202115253. The reversal of 104434202115210 is 12511202434401.

It is a super-2 number, since 2×1044342021152102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154186890 + ... + 154862730.

It is an arithmetic number, because the mean of its divisors is an integer number (2229143185440).

Almost surely, 2104434202115210 is an apocalyptic number.

104434202115210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104434202115210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142665163868160).

104434202115210 is an abundant number, since it is smaller than the sum of its proper divisors (180896125621110).

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

104434202115210 is a wasteful number, since it uses less digits than its factorization.

104434202115210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696244.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 104434202115210 its reverse (12511202434401), we get a palindrome (116945404549611).

The spelling of 104434202115210 in words is "one hundred four trillion, four hundred thirty-four billion, two hundred two million, one hundred fifteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 20359 40718 61077 101795 122154 203590 223949 305385 447898 468257 610770 671847 675841 936514 1119745 1343694 1351682 1404771 2027523 2239490 2341285 2809542 3359235 3379205 4055046 4682570 5150827 6718470 6758410 7023855 7434251 10137615 10301654 14047710 14868502 15452481 15544343 20275230 22302753 25754135 30904962 31088686 37171255 44605506 46633029 51508270 74342510 77262405 77721715 93266058 111513765 154524810 155443430 170987773 223027530 233165145 341975546 466330290 512963319 854938865 1025926638 1709877730 2564816595 5129633190 13759446919 27518893838 41278340757 68797234595 82556681514 137594469190 151353916109 206391703785 302707832218 316467279137 412783407570 454061748327 632934558274 756769580545 908123496654 949401837411 1513539161090 1582336395685 1898803674822 2270308741635 3164672791370 3481140070507 4540617483270 4747009187055 6962280141014 9494018374110 10443420211521 17405700352535 20886840423042 34811400705070 52217101057605 104434202115210