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1210100211120 = 243517797372137
BaseRepresentation
bin10001100110111111100…
…101111101110110110000
311021200110222000222220210
4101212333211331312300
5124311241123223440
62323525023104120
7153266261036463
oct21467745756660
94250428028823
101210100211120
11427223027209
12176638142040
138a15bc90aa8
14427d7ad52da
1521726790a80
hex119bf97ddb0

1210100211120 has 160 divisors (see below), whose sum is σ = 3976970332608. Its totient is φ = 303329542144.

The previous prime is 1210100211101. The next prime is 1210100211121. The reversal of 1210100211120 is 211120010121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1210100211096 and 1210100211105.

It is not an unprimeable number, because it can be changed into a prime (1210100211121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3065692 + ... + 3437828.

Almost surely, 21210100211120 is an apocalyptic number.

1210100211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210100211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988485166304).

1210100211120 is an abundant number, since it is smaller than the sum of its proper divisors (2766870121488).

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

1210100211120 is a wasteful number, since it uses less digits than its factorization.

1210100211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372967 (or 372961 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1210100211120 its reverse (211120010121), we get a palindrome (1421220221241).

The spelling of 1210100211120 in words is "one trillion, two hundred ten billion, one hundred million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 797 816 1020 1360 1594 2040 2391 3188 3985 4080 4782 6376 7970 9564 11955 12752 13549 15940 19128 23910 27098 31880 38256 40647 47820 54196 63760 67745 81294 95640 108392 135490 162588 191280 203235 216784 270980 325176 372137 406470 541960 650352 744274 812940 1083920 1116411 1488548 1625880 1860685 2232822 2977096 3251760 3721370 4465644 5582055 5954192 6326329 7442740 8931288 11164110 12652658 14885480 17862576 18978987 22328220 25305316 29770960 31631645 37957974 44656440 50610632 63263290 75915948 89312880 94894935 101221264 126526580 151831896 189789870 253053160 296593189 303663792 379579740 506106320 593186378 759159480 889779567 1186372756 1482965945 1518318960 1779559134 2372745512 2965931890 3559118268 4448897835 4745491024 5042084213 5931863780 7118236536 8897795670 10084168426 11863727560 14236473072 15126252639 17795591340 20168336852 23727455120 25210421065 30252505278 35591182680 40336673704 50420842130 60505010556 71182365360 75631263195 80673347408 100841684260 121010021112 151262526390 201683368520 242020042224 302525052780 403366737040 605050105560 1210100211120