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12110202110100 = 22352167467517603
BaseRepresentation
bin1011000000111010000001…
…0010111000000010010100
31120212201112210210100002210
42300032200102320002110
53041403143220010400
641431203335433420
72356635045336153
oct260164022700224
946781483710083
1012110202110100
1139499a9419256
121437056225870
1369acaaa32363
142dc1cb97359a
15160032b3c950
hexb03a04b8094

12110202110100 has 144 divisors (see below), whose sum is σ = 35324212105728. Its totient is φ = 3203169624960.

The previous prime is 12110202110081. The next prime is 12110202110131. The reversal of 12110202110100 is 101120201121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 23137899 + ... + 23655501.

It is an arithmetic number, because the mean of its divisors is an integer number (245307028512).

Almost surely, 212110202110100 is an apocalyptic number.

12110202110100 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 12110202110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662106052864).

12110202110100 is an abundant number, since it is smaller than the sum of its proper divisors (23214009995628).

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

12110202110100 is a wasteful number, since it uses less digits than its factorization.

12110202110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518254 (or 518247 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12110202110100 its reverse (101120201121), we get a palindrome (12211322311221).

The spelling of 12110202110100 in words is "twelve trillion, one hundred ten billion, two hundred two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 467 501 668 835 934 1002 1401 1670 1868 2004 2335 2505 2802 3340 4175 4670 5010 5604 7005 8350 9340 10020 11675 12525 14010 16700 23350 25050 28020 35025 46700 50100 70050 77989 140100 155978 233967 311956 389945 467934 517603 779890 935868 1035206 1169835 1552809 1559780 1949725 2070412 2339670 2588015 3105618 3899450 4679340 5176030 5849175 6211236 7764045 7798900 10352060 11698350 12940075 15528090 23396700 25880150 31056180 38820225 51760300 77640450 86439701 155280900 172879402 241720601 259319103 345758804 432198505 483441202 518638206 725161803 864397010 966882404 1037276412 1208603005 1296595515 1450323606 1728794020 2160992525 2417206010 2593191030 2900647212 3625809015 4321985050 4834412020 5186382060 6043015025 6482977575 7251618030 8643970100 12086030050 12965955150 14503236060 18129045075 24172060100 25931910300 36258090150 40367340367 72516180300 80734680734 121102021101 161469361468 201836701835 242204042202 403673403670 484408084404 605510105505 807346807340 1009183509175 1211020211010 2018367018350 2422040422020 3027550527525 4036734036700 6055101055050 12110202110100