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2100021122012 = 2211176723112011
BaseRepresentation
bin11110100011110011000…
…000110101001111011100
321102202112002020022011112
4132203303000311033130
5233401320401401022
64244423020441152
7304502324004542
oct36436300651734
97382462208145
102100021122012
1173a6831a31a0
1229abb89a91b8
1312305355ab38
14738da64bd92
153995deda8e2
hex1e8f30353dc

2100021122012 has 144 divisors (see below), whose sum is σ = 4325271664896. Its totient is φ = 881711424000.

The previous prime is 2100021122011. The next prime is 2100021122039. The reversal of 2100021122012 is 2102211200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100021122011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044266087 + ... + 1044268097.

It is an arithmetic number, because the mean of its divisors is an integer number (30036608784).

Almost surely, 22100021122012 is an apocalyptic number.

2100021122012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2100021122012 is an abundant number, since it is smaller than the sum of its proper divisors (2225250542884).

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

2100021122012 is a wasteful number, since it uses less digits than its factorization.

2100021122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2100021122012 its reverse (2102211200012), we get a palindrome (4202232322024).

The spelling of 2100021122012 in words is "two trillion, one hundred billion, twenty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 67 68 134 187 268 311 374 622 737 748 1139 1244 1474 2011 2278 2948 3421 4022 4489 4556 5287 6842 8044 8978 10574 12529 13684 17956 20837 21148 22121 25058 34187 41674 44242 49379 50116 58157 68374 76313 83348 88484 98758 116314 134737 136748 152626 197516 229207 232628 269474 305252 354229 376057 458414 538948 625421 708458 752114 839443 916828 1250842 1396079 1416916 1482107 1504228 1678886 2290529 2501684 2792158 2964214 3357772 3896519 4581058 5584316 5928428 6879631 7793038 9027379 9162116 10632157 13759262 15356869 15586076 18054758 21264314 23733343 25195819 27518524 30713738 36109516 41903207 42528628 47466686 50391638 61427476 83806414 94933372 99301169 100783276 116953727 153465443 167612828 198602338 233907454 261066773 306930886 397204676 460935277 467814908 522133546 613861772 712354519 921870554 1044267092 1424709038 1688119873 1843741108 2807514869 2849418076 3376239746 5615029738 6752479492 7835899709 11230059476 15671799418 30882663559 31343598836 47727752773 61765327118 95455505546 123530654236 190911011092 525005280503 1050010561006 2100021122012