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20122122033 = 33132329611409
BaseRepresentation
bin10010101111010111…
…110011011100110001
31220221100022201012000
4102233113303130301
5312202230401113
613124410524213
71311434133546
oct225727633461
956840281160
1020122122033
118596460122
123a96a36669
131b88a956b0
14d8c5d4bcd
157cb840373
hex4af5f3731

20122122033 has 128 divisors (see below), whose sum is σ = 35247744000. Its totient is φ = 11240570880.

The previous prime is 20122122023. The next prime is 20122122037. The reversal of 20122122033 is 33022122102.

It is not a de Polignac number, because 20122122033 - 25 = 20122122001 is a prime.

It is a super-2 number, since 2×201221220332 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20122121997 and 20122122015.

It is not an unprimeable number, because it can be changed into a prime (20122122037) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14280433 + ... + 14281841.

It is an arithmetic number, because the mean of its divisors is an integer number (275373000).

Almost surely, 220122122033 is an apocalyptic number.

20122122033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20122122033 is a deficient number, since it is larger than the sum of its proper divisors (15125621967).

20122122033 is a wasteful number, since it uses less digits than its factorization.

20122122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20122122033 its reverse (33022122102), we get a palindrome (53144244135).

The spelling of 20122122033 in words is "twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, thirty-three".

Divisors: 1 3 9 13 23 27 29 39 61 69 87 117 183 207 261 299 351 377 549 621 667 783 793 897 1131 1403 1409 1647 1769 2001 2379 2691 3393 4209 4227 5307 6003 7137 8073 8671 10179 12627 12681 15921 18009 18239 18317 21411 22997 26013 32407 37881 38043 40687 40861 47763 54717 54951 68991 78039 85949 97221 122061 122583 164151 164853 206973 234117 257847 291663 366183 367749 421291 492453 494559 528931 531193 620919 773541 874989 939803 1098549 1103247 1117337 1263873 1586793 1593579 1976827 2320623 2492521 2819409 3352011 3791619 4760379 4780737 5930481 7477563 8458227 10056033 11374857 12217439 14281137 14342211 17791443 22432689 25374681 25698751 30168099 32402773 36652317 53374329 57327983 67298067 77096253 97208319 109956951 171983949 231288759 291624957 329870853 515951847 693866277 745263779 874874871 1547855541 2235791337 6707374011 20122122033