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11422123411410 = 2335211379529007
BaseRepresentation
bin1010011000110110101110…
…0110111100011111010010
31111102221111102022210102000
42212031223212330133102
52444120002043131120
640143130121134430
72256135603033135
oct246155346743722
944387442283360
1011422123411410
113704105989798
12134582602a416
1364b142333c7a
142b6b95a4221c
1514c1b045c990
hexa636b9bc7d2

11422123411410 has 128 divisors (see below), whose sum is σ = 30684156825600. Its totient is φ = 3023459732160.

The previous prime is 11422123411337. The next prime is 11422123411451. The reversal of 11422123411410 is 1411432122411.

11422123411410 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 1 + 234 + 11 + 410 = 666.

It is a super-2 number, since 2×114221234114102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21327127 + ... + 21856133.

It is an arithmetic number, because the mean of its divisors is an integer number (239719975200).

Almost surely, 211422123411410 is an apocalyptic number.

11422123411410 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 11422123411410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342078412800).

11422123411410 is an abundant number, since it is smaller than the sum of its proper divisors (19262033414190).

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

11422123411410 is a wasteful number, since it uses less digits than its factorization.

11422123411410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529613 (or 529607 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11422123411410 its reverse (1411432122411), we get a palindrome (12833555533821).

The spelling of 11422123411410 in words is "eleven trillion, four hundred twenty-two billion, one hundred twenty-three million, four hundred eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 211 270 379 422 633 758 1055 1137 1266 1895 1899 2110 2274 3165 3411 3790 3798 5685 5697 6330 6822 9495 10233 11370 11394 17055 18990 20466 28485 34110 51165 56970 79969 102330 159938 239907 399845 479814 529007 719721 799690 1058014 1199535 1439442 1587021 2159163 2399070 2645035 3174042 3598605 4318326 4761063 5290070 7197210 7935105 9522126 10795815 14283189 15870210 21591630 23805315 28566378 47610630 71415945 111620477 142831890 200493653 223240954 334861431 400987306 558102385 601480959 669722862 1002468265 1004584293 1116204770 1202961918 1674307155 1804442877 2004936530 2009168586 3007404795 3013752879 3348614310 3608885754 5022921465 5413328631 6014809590 6027505758 9022214385 10045842930 10826657262 15068764395 18044428770 27066643155 30137528790 42304160783 54133286310 84608321566 126912482349 211520803915 253824964698 380737447047 423041607830 634562411745 761474894094 1142212341141 1269124823490 1903687235235 2284424682282 3807374470470 5711061705705 11422123411410