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122010232020110 = 257109317148134061
BaseRepresentation
bin11011101111011110111000…
…100010011101110010001110
3121000000001201211222100210022
4123233132320202131302032
5111443003423344120420
61111254420553342142
734461643201342520
oct3357367042356216
9530001654870708
10122010232020110
11359702811a2165
1211826497a07952
1353106917670c5
14221b4807dba10
15e18b75a72c25
hex6ef7b889dc8e

122010232020110 has 128 divisors (see below), whose sum is σ = 254273233294080. Its totient is φ = 41288436633600.

The previous prime is 122010232020043. The next prime is 122010232020113. The reversal of 122010232020110 is 11020232010221.

It is a super-3 number, since 3×1220102320201103 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010232020113) 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, 3582092480 + ... + 3582126540.

It is an arithmetic number, because the mean of its divisors is an integer number (1986509635110).

Almost surely, 2122010232020110 is an apocalyptic number.

122010232020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122010232020110 is an abundant number, since it is smaller than the sum of its proper divisors (132263001273970).

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

122010232020110 is a wasteful number, since it uses less digits than its factorization.

122010232020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35982.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122010232020110 its reverse (11020232010221), we get a palindrome (133030464030331).

The spelling of 122010232020110 in words is "one hundred twenty-two trillion, ten billion, two hundred thirty-two million, twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 109 218 317 545 634 763 1090 1481 1526 1585 2219 2962 3170 3815 4438 7405 7630 10367 11095 14810 20734 22190 34061 34553 51835 68122 69106 103670 161429 170305 172765 238427 241871 322858 340610 345530 469477 476854 483742 807145 938954 1130003 1192135 1209355 1614290 2260006 2347385 2384270 2418710 3286339 3712649 4694770 5650015 6572678 7425298 10797337 11300030 16431695 18563245 21594674 25988543 32863390 37126490 50444341 51172993 51977086 53986685 75581359 100888682 102345986 107973370 129942715 151162718 252221705 255864965 259885430 353110387 358210951 377906795 504443410 511729930 706220774 716421902 755813590 1176909733 1765551935 1791054755 2353819466 3531103870 3582109510 5498433169 5884548665 8238368131 10996866338 11769097330 15990856097 16476736262 27492165845 31981712194 38489032183 41191840655 54984331690 76978064366 79954280485 82383681310 111935992679 159908560970 192445160915 223871985358 384890321830 559679963395 1119359926790 1743003314573 3486006629146 8715016572865 12201023202011 17430033145730 24402046404022 61005116010055 122010232020110