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30023122000 = 2453175316661
BaseRepresentation
bin11011111101100001…
…000111110001010000
32212111100210121210111
4123331201013301100
5442441404401000
621443055411104
72112000216634
oct337541076120
985440717714
1030023122000
11118072a6a23
12599a823a94
132aa60cc561
14164b546dc4
15baab94cba
hex6fd847c50

30023122000 has 160 divisors (see below), whose sum is σ = 78321263904. Its totient is φ = 11088896000.

The previous prime is 30023121979. The next prime is 30023122027. The reversal of 30023122000 is 22132003.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 13686192144 + 16336929856 = 116988^2 + 127816^2 .

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, 1793670 + ... + 1810330.

Almost surely, 230023122000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30023122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39160631952).

30023122000 is an abundant number, since it is smaller than the sum of its proper divisors (48298141904).

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

30023122000 is a wasteful number, since it uses less digits than its factorization.

30023122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16754 (or 16738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 30023122000 its reverse (22132003), we get a palindrome (30045254003).

The spelling of 30023122000 in words is "thirty billion, twenty-three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 53 68 80 85 100 106 125 136 170 200 212 250 265 272 340 400 424 425 500 530 680 848 850 901 1000 1060 1325 1360 1700 1802 2000 2120 2125 2650 3400 3604 4240 4250 4505 5300 6625 6800 7208 8500 9010 10600 13250 14416 16661 17000 18020 21200 22525 26500 33322 34000 36040 45050 53000 66644 72080 83305 90100 106000 112625 133288 166610 180200 225250 266576 283237 333220 360400 416525 450500 566474 666440 833050 883033 901000 1132948 1332880 1416185 1666100 1766066 1802000 2082625 2265896 2832370 3332200 3532132 4165250 4415165 4531792 5664740 6664400 7064264 7080925 8330500 8830330 11329480 14128528 14161850 15011561 16661000 17660660 22075825 22658960 28323700 30023122 33322000 35321320 35404625 44151650 56647400 60046244 70642640 70809250 75057805 88303300 110379125 113294800 120092488 141618500 150115610 176606600 220758250 240184976 283237000 300231220 353213200 375289025 441516500 566474000 600462440 750578050 883033000 1200924880 1501156100 1766066000 1876445125 3002312200 3752890250 6004624400 7505780500 15011561000 30023122000