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122220011310 = 235173171108881
BaseRepresentation
bin111000111010011100…
…0010101111100101110
3102200110201111212111120
41301310320111330232
54000301310330220
6132051435001410
711554503645405
oct1616470257456
9380421455446
10122220011310
1147919012511
121b82b299266
13b6aa104327
145cb611263c
1532a4d26a40
hex1c74e15f2e

122220011310 has 128 divisors (see below), whose sum is σ = 325119909888. Its totient is φ = 29266944000.

The previous prime is 122220011281. The next prime is 122220011357. The reversal of 122220011310 is 13110022221.

It is a super-2 number, since 2×1222200113102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122220011310.

It is a congruent number.

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, 1068070 + ... + 1176950.

It is an arithmetic number, because the mean of its divisors is an integer number (2539999296).

Almost surely, 2122220011310 is an apocalyptic number.

122220011310 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 122220011310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162559954944).

122220011310 is an abundant number, since it is smaller than the sum of its proper divisors (202899898578).

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

122220011310 is a wasteful number, since it uses less digits than its factorization.

122220011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109010.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122220011310 its reverse (13110022221), we get a palindrome (135330033531).

The spelling of 122220011310 in words is "one hundred twenty-two billion, two hundred twenty million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 71 85 93 102 142 155 170 186 213 255 310 355 426 465 510 527 710 930 1054 1065 1207 1581 2130 2201 2414 2635 3162 3621 4402 5270 6035 6603 7242 7905 11005 12070 13206 15810 18105 22010 33015 36210 37417 66030 74834 108881 112251 187085 217762 224502 326643 374170 544405 561255 653286 1088810 1122510 1633215 1850977 3266430 3375311 3701954 5552931 6750622 7730551 9254885 10125933 11105862 15461102 16876555 18509770 20251866 23191653 27764655 33753110 38652755 46383306 50629665 55529310 57380287 77305510 101259330 114760574 115958265 131419367 172140861 231916530 239647081 262838734 286901435 344281722 394258101 479294162 573802870 657096835 718941243 788516202 860704305 1198235405 1314193670 1437882486 1721408610 1971290505 2396470810 3594706215 3942581010 4074000377 7189412430 8148000754 12222001131 20370001885 24444002262 40740003770 61110005655 122220011310