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2133303000 = 233535313417
BaseRepresentation
bin111111100100111…
…1001111011011000
312111200012000120020
41333021321323120
513332111144000
6551404030440
7103602530163
oct17711717330
95450160506
102133303000
119a5215134
124b6532420
1327cc7b38a
14163478ada
15c7444ba0
hex7f279ed8

2133303000 has 128 divisors (see below), whose sum is σ = 6781993920. Its totient is φ = 558105600.

The previous prime is 2133302999. The next prime is 2133303019. The reversal of 2133303000 is 3033312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152292 + ... + 165708.

Almost surely, 22133303000 is an apocalyptic number.

2133303000 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 2133303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390996960).

2133303000 is an abundant number, since it is smaller than the sum of its proper divisors (4648690920).

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

2133303000 is a wasteful number, since it uses less digits than its factorization.

2133303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13494 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 2133303000 is about 46187.6931660372. The cubic root of 2133303000 is about 1287.3130780887.

Adding to 2133303000 its reverse (3033312), we get a palindrome (2136336312).

The spelling of 2133303000 in words is "two billion, one hundred thirty-three million, three hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 125 150 159 200 212 250 265 300 318 375 424 500 530 600 636 750 795 1000 1060 1272 1325 1500 1590 2120 2650 3000 3180 3975 5300 6360 6625 7950 10600 13250 13417 15900 19875 26500 26834 31800 39750 40251 53000 53668 67085 79500 80502 107336 134170 159000 161004 201255 268340 322008 335425 402510 536680 670850 711101 805020 1006275 1341700 1422202 1610040 1677125 2012550 2133303 2683400 2844404 3354250 3555505 4025100 4266606 5031375 5688808 6708500 7111010 8050200 8533212 10062750 10666515 13417000 14222020 17066424 17777525 20125500 21333030 28444040 35555050 40251000 42666060 53332575 71110100 85332120 88887625 106665150 142220200 177775250 213330300 266662875 355550500 426660600 533325750 711101000 1066651500 2133303000