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2131063000 = 2353111511283
BaseRepresentation
bin111111100000101…
…0111000011011000
312111111222012212021
41333001113003120
513331023004000
6551244024224
7103544510443
oct17701270330
95444865767
102131063000
119a3a251a0
124b5832074
1327c675931
1416305465a
15c715111a
hex7f0570d8

2131063000 has 128 divisors (see below), whose sum is σ = 5480317440. Its totient is φ = 769200000.

The previous prime is 2131062943. The next prime is 2131063013. The reversal of 2131063000 is 3601312.

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, 1660359 + ... + 1661641.

It is an arithmetic number, because the mean of its divisors is an integer number (42814980).

Almost surely, 22131063000 is an apocalyptic number.

2131063000 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 2131063000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740158720).

2131063000 is an abundant number, since it is smaller than the sum of its proper divisors (3349254440).

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

2131063000 is a wasteful number, since it uses less digits than its factorization.

2131063000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2131063000 is about 46163.4379135697. The cubic root of 2131063000 is about 1286.8623543125.

Adding to 2131063000 its reverse (3601312), we get a palindrome (2134664312).

The spelling of 2131063000 in words is "two billion, one hundred thirty-one million, sixty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 151 200 220 250 275 302 440 500 550 604 755 1000 1100 1208 1283 1375 1510 1661 2200 2566 2750 3020 3322 3775 5132 5500 6040 6415 6644 7550 8305 10264 11000 12830 13288 14113 15100 16610 18875 25660 28226 30200 32075 33220 37750 41525 51320 56452 64150 66440 70565 75500 83050 112904 128300 141130 151000 160375 166100 193733 207625 256600 282260 320750 332200 352825 387466 415250 564520 641500 705650 774932 830500 968665 1283000 1411300 1549864 1661000 1764125 1937330 2131063 2822600 3528250 3874660 4262126 4843325 7056500 7749320 8524252 9686650 10655315 14113000 17048504 19373300 21310630 24216625 38746600 42621260 48433250 53276575 85242520 96866500 106553150 193733000 213106300 266382875 426212600 532765750 1065531500 2131063000