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2131233000 = 233531354647
BaseRepresentation
bin111111100001000…
…0000100011101000
312111112021212001120
41333002000203220
513331043424000
6551251415240
7103546116201
oct17702004350
95445255046
102131233000
119a4030996
124b58b4520
1327c705120
1416309a5a8
15c71866a0
hex7f0808e8

2131233000 has 128 divisors (see below), whose sum is σ = 7161073920. Its totient is φ = 524601600.

The previous prime is 2131232959. The next prime is 2131233011. The reversal of 2131233000 is 3321312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11677 + ... + 66323.

It is an arithmetic number, because the mean of its divisors is an integer number (55945890).

Almost surely, 22131233000 is an apocalyptic number.

2131233000 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 2131233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580536960).

2131233000 is an abundant number, since it is smaller than the sum of its proper divisors (5029840920).

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

2131233000 is a wasteful number, since it uses less digits than its factorization.

2131233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54684 (or 54670 counting only the distinct ones).

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

The square root of 2131233000 is about 46165.2791608585. The cubic root of 2131233000 is about 1286.8965721001.

Adding to 2131233000 its reverse (3321312), we get a palindrome (2134554312).

The spelling of 2131233000 in words is "two billion, one hundred thirty-one million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 54647 109294 163941 218588 273235 327882 437176 546470 655764 710411 819705 1092940 1311528 1366175 1420822 1639410 2131233 2185880 2732350 2841644 3278820 3552055 4098525 4262466 5464700 5683288 6557640 6830875 7104110 8197050 8524932 10656165 10929400 13661750 14208220 16394100 17049864 17760275 20492625 21312330 27323500 28416440 32788200 35520550 40985250 42624660 53280825 54647000 71041100 81970500 85249320 88801375 106561650 142082200 163941000 177602750 213123300 266404125 355205500 426246600 532808250 710411000 1065616500 2131233000