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104214211024 = 24711130364919
BaseRepresentation
bin110000100001110100…
…1101010100111010000
3100221222212102102222111
41201003221222213100
53201412314223044
6115513024115104
710346345115010
oct1410351524720
9327885372874
10104214211024
1140219229230
1218245165a94
139a9a922931
145088a15c40
152a9e1c4b34
hex1843a6a9d0

104214211024 has 80 divisors (see below), whose sum is σ = 251935303680. Its totient is φ = 40571153280.

The previous prime is 104214211021. The next prime is 104214211027. The reversal of 104214211024 is 420112412401.

It is an interprime number because it is at equal distance from previous prime (104214211021) and next prime (104214211027).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 104214210986 and 104214211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104214211021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1572837 + ... + 1637755.

It is an arithmetic number, because the mean of its divisors is an integer number (3149191296).

Almost surely, 2104214211024 is an apocalyptic number.

104214211024 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 104214211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125967651840).

104214211024 is an abundant number, since it is smaller than the sum of its proper divisors (147721092656).

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

104214211024 is a wasteful number, since it uses less digits than its factorization.

104214211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66248 (or 66242 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 104214211024 its reverse (420112412401), we get a palindrome (524326623425).

The spelling of 104214211024 in words is "one hundred four billion, two hundred fourteen million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1303 2606 5212 9121 10424 14333 18242 20848 28666 36484 57332 64919 72968 100331 114664 129838 145936 200662 229328 259676 401324 454433 519352 714109 802648 908866 1038704 1428218 1605296 1817732 2856436 3635464 4998763 5712872 7270928 9997526 11425744 19995052 39990104 79980208 84589457 169178914 338357828 592126199 676715656 930484027 1184252398 1353431312 1860968054 2368504796 3721936108 4737009592 6513388189 7443872216 9474019184 13026776378 14887744432 26053552756 52107105512 104214211024