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2010101100 = 2235272341617
BaseRepresentation
bin111011111001111…
…1011010101101100
312012002100201022220
41313303323111230
513104041213400
6531243235340
7100545402030
oct16763732554
95162321286
102010101100
11941716787
12481218b50
132605a2c47
14150d681c0
15bb70a7a0
hex77cfb56c

2010101100 has 144 divisors (see below), whose sum is σ = 6935889408. Its totient is φ = 439464960.

The previous prime is 2010101089. The next prime is 2010101129. The reversal of 2010101100 is 11010102.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 27492 + ... + 69108.

Almost surely, 22010101100 is an apocalyptic number.

2010101100 is a gapful number since it is divisible by the number (20) 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 2010101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467944704).

2010101100 is an abundant number, since it is smaller than the sum of its proper divisors (4925788308).

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

2010101100 is a wasteful number, since it uses less digits than its factorization.

2010101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41664 (or 41657 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2010101100 is about 44834.1510458267. The cubic root of 2010101100 is about 1262.0385870629.

Adding to 2010101100 its reverse (11010102), we get a palindrome (2021111202).

The spelling of 2010101100 in words is "two billion, ten million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 460 483 525 575 644 690 700 805 966 1050 1150 1380 1610 1725 1932 2100 2300 2415 3220 3450 4025 4830 6900 8050 9660 12075 16100 24150 41617 48300 83234 124851 166468 208085 249702 291319 416170 499404 582638 624255 832340 873957 957191 1040425 1165276 1248510 1456595 1747914 1914382 2080850 2497020 2871573 2913190 3121275 3495828 3828764 4161700 4369785 4785955 5743146 5826380 6242550 6700337 7282975 8739570 9571910 11486292 12485100 13400674 14357865 14565950 17479140 19143820 20101011 21848925 23929775 26801348 28715730 29131900 33501685 40202022 43697850 47859550 57431460 67003370 71789325 80404044 87395700 95719100 100505055 134006740 143578650 167508425 201010110 287157300 335016850 402020220 502525275 670033700 1005050550 2010101100