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122289045340 = 225711577137623
BaseRepresentation
bin111000111100011111…
…1101011111101011100
3102200122112102011101111
41301320333223331130
54000421443422330
6132102342351404
711556302506660
oct1617077537534
9380575364344
10122289045340
1147953a83830
121b84a42b564
13b6bb4c5277
145cc13628a0
1532aae1132a
hex1c78febf5c

122289045340 has 96 divisors (see below), whose sum is σ = 320732181504. Its totient is φ = 38049730560.

The previous prime is 122289045331. The next prime is 122289045343. The reversal of 122289045340 is 43540982221.

It is a super-2 number, since 2×1222890453402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122289045293 and 122289045302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122289045343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819769 + ... + 957391.

It is an arithmetic number, because the mean of its divisors is an integer number (3340960224).

Almost surely, 2122289045340 is an apocalyptic number.

122289045340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122289045340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160366090752).

122289045340 is an abundant number, since it is smaller than the sum of its proper divisors (198443136164).

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

122289045340 is a wasteful number, since it uses less digits than its factorization.

122289045340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138227 (or 138225 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 122289045340 in words is "one hundred twenty-two billion, two hundred eighty-nine million, forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 577 770 1154 1540 2308 2885 4039 5770 6347 8078 11540 12694 16156 20195 25388 31735 40390 44429 63470 80780 88858 126940 137623 177716 222145 275246 444290 550492 688115 888580 963361 1376230 1513853 1926722 2752460 3027706 3853444 4816805 6055412 7569265 9633610 10596971 15138530 19267220 21193942 30277060 42387884 52984855 79408471 105969710 158816942 211939420 317633884 397042355 555859297 794084710 873493181 1111718594 1588169420 1746986362 2223437188 2779296485 3493972724 4367465905 5558592970 6114452267 8734931810 11117185940 12228904534 17469863620 24457809068 30572261335 61144522670 122289045340