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1631130200 = 235273731489
BaseRepresentation
bin110000100111001…
…0001001001011000
311012200020222222122
41201032101021120
511320032131300
6425504440412
755264243430
oct14116211130
94180228878
101631130200
11767804297
12396319108
131ccc152cb
141168b92c0
15982ecc85
hex61391258

1631130200 has 96 divisors (see below), whose sum is σ = 4451426400. Its totient is φ = 544112640.

The previous prime is 1631130197. The next prime is 1631130203. The reversal of 1631130200 is 20311361.

It is an interprime number because it is at equal distance from previous prime (1631130197) and next prime (1631130203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631130203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36056 + ... + 67544.

It is an arithmetic number, because the mean of its divisors is an integer number (46369025).

Almost surely, 21631130200 is an apocalyptic number.

1631130200 is a gapful number since it is divisible by the number (10) 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 1631130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225713200).

1631130200 is an abundant number, since it is smaller than the sum of its proper divisors (2820296200).

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

1631130200 is a wasteful number, since it uses less digits than its factorization.

1631130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31549 (or 31540 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1631130200 is about 40387.2529395105. The cubic root of 1631130200 is about 1177.1438632790.

Adding to 1631130200 its reverse (20311361), we get a palindrome (1651441561).

The spelling of 1631130200 in words is "one billion, six hundred thirty-one million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 70 74 100 140 148 175 185 200 259 280 296 350 370 518 700 740 925 1036 1295 1400 1480 1850 2072 2590 3700 5180 6475 7400 10360 12950 25900 31489 51800 62978 125956 157445 220423 251912 314890 440846 629780 787225 881692 1102115 1165093 1259560 1574450 1763384 2204230 2330186 3148900 4408460 4660372 5510575 5825465 6297800 8155651 8816920 9320744 11021150 11650930 16311302 22042300 23301860 29127325 32622604 40778255 44084600 46603720 58254650 65245208 81556510 116509300 163113020 203891275 233018600 326226040 407782550 815565100 1631130200