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202001020122 = 2311192943912653
BaseRepresentation
bin1011110000100000110…
…0101111010011011010
3201022101210120001001210
42330020030233103122
511302144230120442
6232444210523550
720410526224626
oct2741014572332
9638353501053
10202001020122
1178739345240
12331958965b6
1316082a62955
149ac3b64186
1553c3e8919c
hex2f0832f4da

202001020122 has 128 divisors (see below), whose sum is σ = 481054464000. Its totient is φ = 55859086080.

The previous prime is 202001020121. The next prime is 202001020129. The reversal of 202001020122 is 221020100202.

202001020122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202001020098 and 202001020107.

It is not an unprimeable number, because it can be changed into a prime (202001020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15958348 + ... + 15971000.

It is an arithmetic number, because the mean of its divisors is an integer number (3758238000).

Almost surely, 2202001020122 is an apocalyptic number.

202001020122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202001020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240527232000).

202001020122 is an abundant number, since it is smaller than the sum of its proper divisors (279053443878).

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

202001020122 is a wasteful number, since it uses less digits than its factorization.

202001020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13156.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202001020122 its reverse (221020100202), we get a palindrome (423021120324).

The spelling of 202001020122 in words is "two hundred two billion, one million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 29 33 38 57 58 66 87 114 174 209 319 418 439 551 627 638 878 957 1102 1254 1317 1653 1914 2634 3306 4829 6061 8341 9658 12122 12653 12731 14487 16682 18183 25023 25306 25462 28974 36366 37959 38193 50046 75918 76386 91751 139183 140041 183502 240407 241889 275253 278366 280082 366937 417549 420123 480814 483778 550506 721221 725667 733874 835098 840246 1100811 1442442 1451334 2201622 2644477 2660779 4036307 5288954 5321558 5554667 6971803 7933431 7982337 8072614 11109334 12108921 13943606 15866862 15964674 16664001 20915409 24217842 33328002 41830818 61101337 76689833 105538673 122202674 153379666 161085343 183304011 211077346 230069499 316616019 322170686 366608022 460138998 483256029 633232038 966512058 1160925403 1771938773 2321850806 3060621517 3482776209 3543877546 5315816319 6121243034 6965552418 9181864551 10631632638 18363729102 33666836687 67333673374 101000510061 202001020122