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1122122200108 = 2271322276071721
BaseRepresentation
bin10000010101000011101…
…100011111010000101100
310222021101121212222020111
4100111003230133100230
5121341101240400413
62215255033025404
7144033143216530
oct20250354372054
93867347788214
101122122200108
113a29868013a8
12161584555264
1381a7b044700
143c44d577bc0
151e2c7bbbd3d
hex10543b1f42c

1122122200108 has 144 divisors (see below), whose sum is σ = 2446305490944. Its totient is φ = 440976407040.

The previous prime is 1122122200033. The next prime is 1122122200123. The reversal of 1122122200108 is 8010022212211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652016688 + ... + 652018408.

It is an arithmetic number, because the mean of its divisors is an integer number (16988232576).

Almost surely, 21122122200108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122122200108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223152745472).

1122122200108 is an abundant number, since it is smaller than the sum of its proper divisors (1324183290836).

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

1122122200108 is a wasteful number, since it uses less digits than its factorization.

1122122200108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 1122122200108 its reverse (8010022212211), we get a palindrome (9132144412319).

The spelling of 1122122200108 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 227 338 364 454 607 676 908 1183 1214 1589 1721 2366 2428 2951 3178 3442 4249 4732 5902 6356 6884 7891 8498 11804 12047 15782 16996 20657 22373 24094 31564 38363 41314 44746 48188 55237 76726 82628 89492 102583 110474 137789 153452 156611 205166 220948 268541 275578 290849 313222 390667 410332 537082 551156 581698 626444 718081 781334 964523 1044647 1074164 1163396 1436162 1562668 1791257 1929046 2035943 2089294 2734669 2872324 3582514 3858092 4071886 4178588 5078671 5469338 7165028 7312529 8143772 10157342 10938676 12538799 13580411 14625058 20314684 23286341 25077598 27160822 29250116 35550697 46572682 50155196 54321644 66022723 71101394 93145364 95062877 132045446 142202788 163004387 176545343 190125754 237134869 264090892 326008774 353090686 380251508 462159061 474269738 652017548 706181372 924318122 948539476 1235817401 1659944083 1848636244 2471634802 3082753297 3319888166 4943269604 6165506594 6639776332 12331013188 21579273079 40075792861 43158546158 80151585722 86317092316 160303171444 280530550027 561061100054 1122122200108