Search a number
-
+
10320201331000 = 2353112081450841
BaseRepresentation
bin1001011000101101101111…
…1011110011000100111000
31100112121020120112020000221
42112023123323303010320
52323041233020043000
633541011322505424
72113416131633461
oct226133373630470
940477216466027
1010320201331000
1133198556712a0
1211a815a665274
1359b263293b12
142797011a3d68
1512d6bad8b61a
hex962dbef3138

10320201331000 has 128 divisors (see below), whose sum is σ = 26357377475520. Its totient is φ = 3750988800000.

The previous prime is 10320201330947. The next prime is 10320201331001. The reversal of 10320201331000 is 13310202301.

It is a super-2 number, since 2×103202013310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320201331001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22665580 + ... + 23116420.

Almost surely, 210320201331000 is an apocalyptic number.

10320201331000 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 10320201331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178688737760).

10320201331000 is an abundant number, since it is smaller than the sum of its proper divisors (16037176144520).

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

10320201331000 is a wasteful number, since it uses less digits than its factorization.

10320201331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452954 (or 452940 counting only the distinct ones).

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

Adding to 10320201331000 its reverse (13310202301), we get a palindrome (10333511533301).

The spelling of 10320201331000 in words is "ten trillion, three hundred twenty billion, two hundred one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2081 2200 2750 4162 5500 8324 10405 11000 16648 20810 22891 41620 45782 52025 83240 91564 104050 114455 183128 208100 228910 260125 416200 450841 457820 520250 572275 901682 915640 1040500 1144550 1803364 2081000 2254205 2289100 2861375 3606728 4508410 4578200 4959251 5722750 9016820 9918502 11271025 11445500 18033640 19837004 22542050 22891000 24796255 39674008 45084100 49592510 56355125 90168200 99185020 112710250 123981275 198370040 225420500 247962550 450841000 495925100 619906375 938200121 991850200 1239812750 1876400242 2479625500 3752800484 4691000605 4959251000 7505600968 9382001210 10320201331 18764002420 20640402662 23455003025 37528004840 41280805324 46910006050 51601006655 82561610648 93820012100 103202013310 117275015125 187640024200 206404026620 234550030250 258005033275 412808053240 469100060500 516010066550 938200121000 1032020133100 1290025166375 2064040266200 2580050332750 5160100665500 10320201331000