Search a number
-
+
1022133030000 = 2435434071101
BaseRepresentation
bin11101101111110111110…
…00000100110001110000
310121201022012121211210220
432313323320010301300
5113221312023430000
62101321134053040
7133563260255205
oct16677370046160
93551265554726
101022133030000
113645364a2a25
1214611a34a180
13755048574b4
1437685b35cac
151b8c48c11a0
hexedfbe04c70

1022133030000 has 100 divisors (see below), whose sum is σ = 3299581802088. Its totient is φ = 272568800000.

The previous prime is 1022133029969. The next prime is 1022133030047. The reversal of 1022133030000 is 303312201.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 17005551 + ... + 17065550.

Almost surely, 21022133030000 is an apocalyptic number.

1022133030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022133030000 is an abundant number, since it is smaller than the sum of its proper divisors (2277448772088).

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

1022133030000 is an equidigital number, since it uses as much as digits as its factorization.

1022133030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34071132 (or 34071111 counting only the distinct ones).

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

Adding to 1022133030000 its reverse (303312201), we get a palindrome (1022436342201).

The spelling of 1022133030000 in words is "one trillion, twenty-two billion, one hundred thirty-three million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 34071101 68142202 102213303 136284404 170355505 204426606 272568808 340711010 408853212 511066515 545137616 681422020 817706424 851777525 1022133030 1362844040 1635412848 1703555050 2044266060 2555332575 2725688080 3407110100 4088532120 4258887625 5110665150 6814220200 8177064240 8517775250 10221330300 12776662875 13628440400 17035550500 20442660600 21294438125 25553325750 34071101000 40885321200 42588876250 51106651500 63883314375 68142202000 85177752500 102213303000 127766628750 170355505000 204426606000 255533257500 340711010000 511066515000 1022133030000