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121211002110 = 235112337431617
BaseRepresentation
bin111000011100010111…
…1010001110011111110
3102120212101212220002110
41300320233101303332
53441220004031420
6131403352234450
711520502342542
oct1607057216376
9376771786073
10121211002110
11474504a5a10
121b5a939ba26
13b579061573
145c1c0dba22
153246465ee0
hex1c38bd1cfe

121211002110 has 128 divisors (see below), whose sum is σ = 340101172224. Its totient is φ = 27347189760.

The previous prime is 121211002091. The next prime is 121211002117. The reversal of 121211002110 is 11200112121.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211002117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65022 + ... + 496638.

It is an arithmetic number, because the mean of its divisors is an integer number (2657040408).

Almost surely, 2121211002110 is an apocalyptic number.

121211002110 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 121211002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170050586112).

121211002110 is an abundant number, since it is smaller than the sum of its proper divisors (218890170114).

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

121211002110 is a wasteful number, since it uses less digits than its factorization.

121211002110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431698.

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

Adding to 121211002110 its reverse (11200112121), we get a palindrome (132411114231).

The spelling of 121211002110 in words is "one hundred twenty-one billion, two hundred eleven million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 37 46 55 66 69 74 110 111 115 138 165 185 222 230 253 330 345 370 407 506 555 690 759 814 851 1110 1221 1265 1518 1702 2035 2442 2530 2553 3795 4070 4255 5106 6105 7590 8510 9361 12210 12765 18722 25530 28083 46805 56166 93610 140415 280830 431617 863234 1294851 2158085 2589702 4316170 4747787 6474255 9495574 9927191 12948510 14243361 15969829 19854382 23738935 28486722 29781573 31939658 47477870 47909487 49635955 59563146 71216805 79849145 95818974 99271910 109199101 142433610 148907865 159698290 175668119 218398202 239547435 297815730 327597303 351336238 367306067 479094870 527004357 545995505 655194606 734612134 878340595 1054008714 1091991010 1101918201 1637986515 1756681190 1836530335 2203836402 2635021785 3275973030 3673060670 4040366737 5270043570 5509591005 8080733474 11019182010 12121100211 20201833685 24242200422 40403667370 60605501055 121211002110