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2133203100 = 2235274721613
BaseRepresentation
bin111111100100110…
…0001100010011100
312111122222221112020
41333021201202130
513332044444400
6551401540140
7103601633010
oct17711414234
95448887466
102133203100
119a5157076
124b64a4650
1327cc44a72
14163450540
15c74252a0
hex7f26189c

2133203100 has 144 divisors (see below), whose sum is σ = 7204205568. Its totient is φ = 477192960.

The previous prime is 2133203077. The next prime is 2133203113. The reversal of 2133203100 is 13023312.

2133203100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21332031002 = 9101110931699220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2133203100.

It is a congruent number.

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, 87894 + ... + 109506.

Almost surely, 22133203100 is an apocalyptic number.

2133203100 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 2133203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602102784).

2133203100 is an abundant number, since it is smaller than the sum of its proper divisors (5071002468).

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

2133203100 is a wasteful number, since it uses less digits than its factorization.

2133203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21684 (or 21677 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2133203100 is about 46186.6116964646. The cubic root of 2133203100 is about 1287.2929833368.

Adding to 2133203100 its reverse (13023312), we get a palindrome (2146226412).

The spelling of 2133203100 in words is "two billion, one hundred thirty-three million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 47 50 60 70 75 84 94 100 105 140 141 150 175 188 210 235 282 300 329 350 420 470 525 564 658 700 705 940 987 1050 1175 1316 1410 1645 1974 2100 2350 2820 3290 3525 3948 4700 4935 6580 7050 8225 9870 14100 16450 19740 21613 24675 32900 43226 49350 64839 86452 98700 108065 129678 151291 216130 259356 302582 324195 432260 453873 540325 605164 648390 756455 907746 1015811 1080650 1296780 1512910 1620975 1815492 2031622 2161300 2269365 3025820 3047433 3241950 3782275 4063244 4538730 5079055 6094866 6483900 7110677 7564550 9077460 10158110 11346825 12189732 14221354 15129100 15237165 20316220 21332031 22693650 25395275 28442708 30474330 35553385 42664062 45387300 50790550 60948660 71106770 76185825 85328124 101581100 106660155 142213540 152371650 177766925 213320310 304743300 355533850 426640620 533300775 711067700 1066601550 2133203100