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2100330232 = 2371113353743
BaseRepresentation
bin111110100110000…
…0111111011111000
312102101010211102121
41331030013323320
513300141031412
6544225211024
7103022340520
oct17514077370
95371124377
102100330232
11988644210
124a7490a74
132761a5270
1415cd34680
15c45d0107
hex7d307ef8

2100330232 has 128 divisors (see below), whose sum is σ = 5309660160. Its totient is φ = 752209920.

The previous prime is 2100330181. The next prime is 2100330241. The reversal of 2100330232 is 2320330012.

It is a super-2 number, since 2×21003302322 = 8822774166906347648, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2826453 + ... + 2827195.

It is an arithmetic number, because the mean of its divisors is an integer number (41481720).

Almost surely, 22100330232 is an apocalyptic number.

2100330232 is a gapful number since it is divisible by the number (22) 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 2100330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654830080).

2100330232 is an abundant number, since it is smaller than the sum of its proper divisors (3209329928).

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

2100330232 is a wasteful number, since it uses less digits than its factorization.

2100330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2100330232 is about 45829.3599344350. The cubic root of 2100330232 is about 1280.6462865833.

Adding to 2100330232 its reverse (2320330012), we get a palindrome (4420660244).

The spelling of 2100330232 in words is "two billion, one hundred million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 353 364 572 616 706 728 743 1001 1144 1412 1486 2002 2471 2824 2972 3883 4004 4589 4942 5201 5944 7766 8008 8173 9178 9659 9884 10402 15532 16346 18356 19318 19768 20804 27181 31064 32123 32692 36712 38636 41608 50479 54362 57211 64246 65384 67613 77272 100958 106249 108724 114422 128492 135226 201916 212498 217448 228844 256984 262279 270452 353353 403832 424996 457688 524558 540904 706706 743743 849992 1049116 1413412 1487486 1835953 2098232 2826824 2885069 2974972 3409627 3671906 5770138 5949944 6819254 7343812 11540276 13638508 14687624 20195483 23080552 23867389 27277016 37505897 40390966 47734778 75011794 80781932 95469556 150023588 161563864 190939112 262541279 300047176 525082558 1050165116 2100330232