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210011112011100 = 223523735081539321
BaseRepresentation
bin101111110000000100000101…
…101110101111010101011100
31000112120212101111001221222110
4233300010011232233111130
5210011310224133323400
62022353434543314020
762143542063344001
oct5760040556572534
91015525344057873
10210011112011100
1160a0923782a814
121b6796885ab910
139024c695cc5aa
1439c084085d8a8
151942d0e7e9e50
hexbf0105baf55c

210011112011100 has 144 divisors (see below), whose sum is σ = 624073587421536. Its totient is φ = 54487715328000.

The previous prime is 210011112011083. The next prime is 210011112011101. The reversal of 210011112011100 is 1110211110012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011112011101) 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, 389129440 + ... + 389668760.

It is an arithmetic number, because the mean of its divisors is an integer number (4333844357094).

Almost surely, 2210011112011100 is an apocalyptic number.

210011112011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210011112011100 is an abundant number, since it is smaller than the sum of its proper divisors (414062475410436).

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

210011112011100 is a wasteful number, since it uses less digits than its factorization.

210011112011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574456 (or 574449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 210011112011100 its reverse (1110211110012), we get a palindrome (211121323121112).

The spelling of 210011112011100 in words is "two hundred ten trillion, eleven billion, one hundred twelve million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 35081 70162 105243 140324 175405 210486 350810 420972 526215 539321 701620 877025 1052430 1078642 1297997 1617963 1754050 2104860 2157284 2595994 2631075 2696605 3235926 3508100 3893991 5191988 5262150 5393210 6471852 6489985 7787982 8089815 10524300 10786420 12979970 13483025 15575964 16179630 19469955 19954877 25959940 26966050 32359260 32449925 38939910 39909754 40449075 53932100 59864631 64899850 77879820 79819508 80898150 97349775 99774385 119729262 129799700 161796300 194699550 199548770 239458524 299323155 389399100 399097540 498871925 598646310 997743850 1197292620 1496615775 1995487700 2993231550 5986463100 18919920001 37839840002 56759760003 75679680004 94599600005 113519520006 189199200010 227039040012 283798800015 378398400020 472998000025 567597600030 700037040037 945996000050 1135195200060 1400074080074 1418994000075 1891992000100 2100111120111 2800148160148 2837988000150 3500185200185 4200222240222 5675976000300 7000370400370 8400444480444 10500555600555 14000740800740 17500926000925 21001111201110 35001852001850 42002222402220 52502778002775 70003704003700 105005556005550 210011112011100