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2100021022110 = 23511227103127191
BaseRepresentation
bin11110100011110011000…
…000011100110110011110
321102202112002001020010110
4132203303000130312132
5233401320340201420
64244423014350450
7304502323110354
oct36436300346636
97382462036113
102100021022110
1173a683135130
1229abb895b426
1312305352451b
14738da6237d4
153995debaee0
hex1e8f301cd9e

2100021022110 has 128 divisors (see below), whose sum is σ = 5528017870848. Its totient is φ = 506343056000.

The previous prime is 2100021022091. The next prime is 2100021022111. The reversal of 2100021022110 is 112201200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100021022111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77218615 + ... + 77245805.

It is an arithmetic number, because the mean of its divisors is an integer number (43187639616).

Almost surely, 22100021022110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100021022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764008935424).

2100021022110 is an abundant number, since it is smaller than the sum of its proper divisors (3427996848738).

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

2100021022110 is a wasteful number, since it uses less digits than its factorization.

2100021022110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28470.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100021022110 its reverse (112201200012), we get a palindrome (2212222222122).

The spelling of 2100021022110 in words is "two trillion, one hundred billion, twenty-one million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 227 330 454 681 1031 1135 1362 2062 2270 2497 3093 3405 4994 5155 6186 6810 7491 10310 11341 12485 14982 15465 22682 24970 27191 30930 34023 37455 54382 56705 68046 74910 81573 113410 135955 163146 170115 234037 271910 299101 340230 407865 468074 598202 702111 815730 897303 1170185 1404222 1495505 1794606 2340370 2574407 2991010 3510555 4486515 5148814 6172357 7021110 7723221 8973030 12344714 12872035 15446442 18517071 25744070 28033921 30861785 37034142 38616105 56067842 61723570 67895927 77232210 84101763 92585355 135791854 140169605 168203526 185170710 203687781 280339210 308373131 339479635 407375562 420508815 616746262 678959270 841017630 925119393 1018438905 1541865655 1850238786 2036877810 3083731310 4625596965 6363700067 9251193930 12727400134 19091100201 31818500335 38182200402 63637000670 70000700737 95455501005 140001401474 190911002010 210002102211 350003503685 420004204422 700007007370 1050010511055 2100021022110