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1121234342310 = 232567974919073
BaseRepresentation
bin10000010100001110110…
…001100101000110100110
310222012002202020010022100
4100110032301211012212
5121332241442423220
62215030555112530
7144002142442035
oct20241661450646
93865082203270
101121234342310
113a2570612725
12161377142746
138196910c974
143c3a769c71c
151e274c8cd90
hex1050ec651a6

1121234342310 has 96 divisors (see below), whose sum is σ = 2959178508000. Its totient is φ = 294487547904.

The previous prime is 1121234342269. The next prime is 1121234342351. The reversal of 1121234342310 is 132434321211.

1121234342310 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 3 + 4 + 342 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (1121234342269) and next prime (1121234342351).

It is a super-2 number, since 2×11212343423102 (a number of 25 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58776934 + ... + 58796006.

It is an arithmetic number, because the mean of its divisors is an integer number (30824776125).

Almost surely, 21121234342310 is an apocalyptic number.

1121234342310 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 1121234342310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479589254000).

1121234342310 is an abundant number, since it is smaller than the sum of its proper divisors (1837944165690).

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

1121234342310 is a wasteful number, since it uses less digits than its factorization.

1121234342310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28902 (or 28899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1121234342310 its reverse (132434321211), we get a palindrome (1253668663521).

The spelling of 1121234342310 in words is "one trillion, one hundred twenty-one billion, two hundred thirty-four million, three hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 9749 19073 19498 29247 38146 48745 57219 58494 87741 95365 97490 114438 146235 171657 175482 190730 286095 292470 343314 438705 572190 653183 858285 877410 1277891 1306366 1716570 1959549 2555782 3265915 3833673 3919098 5878647 6389455 6531830 7667346 9797745 11501019 11757294 12778910 19168365 19595490 23002038 29393235 38336730 57505095 58786470 115010190 185942677 371885354 557828031 929713385 1115656062 1673484093 1859426770 2789140155 3346968186 5578280310 8367420465 12458159359 16734840930 24916318718 37374478077 62290796795 74748956154 112123434231 124581593590 186872390385 224246868462 373744780770 560617171155 1121234342310