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101022030000 = 2432541122467
BaseRepresentation
bin101111000010101100…
…0011101100010110000
3100122202101202211211200
41132011120131202300
53123343114430000
6114224152411200
710204264041543
oct1360530354260
9318671684750
10101022030000
11399303363a1
12176b40a6b00
1396ac491018
144c64aa485a
152963d1d500
hex178561d8b0

101022030000 has 150 divisors (see below), whose sum is σ = 353288945724. Its totient is φ = 26939184000.

The previous prime is 101022029989. The next prime is 101022030013. The reversal of 101022030000 is 30220101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 471234 + ... + 651233.

Almost surely, 2101022030000 is an apocalyptic number.

101022030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022030000 is an abundant number, since it is smaller than the sum of its proper divisors (252266915724).

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

101022030000 is a wasteful number, since it uses less digits than its factorization.

101022030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122501 (or 1122477 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 101022030000 its reverse (30220101), we get a palindrome (101052250101).

The spelling of 101022030000 in words is "one hundred one billion, twenty-two million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1122467 2244934 3367401 4489868 5612335 6734802 8979736 10102203 11224670 13469604 16837005 17959472 20204406 22449340 26939208 28061675 33674010 40408812 44898680 50511015 53878416 56123350 67348020 80817624 84185025 89797360 101022030 112246700 134696040 140308375 161635248 168370050 202044060 224493400 252555075 269392080 280616750 336740100 404088120 420925125 448986800 505110150 561233500 673480200 701541875 808176240 841850250 1010220300 1122467000 1262775375 1346960400 1403083750 1683700500 2020440600 2104625625 2244934000 2525550750 2806167500 3367401000 4040881200 4209251250 5051101500 5612335000 6313876875 6734802000 8418502500 10102203000 11224670000 12627753750 16837005000 20204406000 25255507500 33674010000 50511015000 101022030000