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122030000100 = 223252177975817
BaseRepresentation
bin111000110100110001…
…1100000011111100100
3102122222110222022010100
41301221203200133210
53444404140000400
6132020530224100
711550005613021
oct1615143403744
9378873868110
10122030000100
1147830832258
121b797725030
13b679936768
145c98bb0548
1532932e2100
hex1c698e07e4

122030000100 has 108 divisors (see below), whose sum is σ = 404996086404. Its totient is φ = 30627133440.

The previous prime is 122030000093. The next prime is 122030000143. The reversal of 122030000100 is 1000030221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17489004516 + 104540995584 = 132246^2 + 323328^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3972609 + ... + 4003208.

It is an arithmetic number, because the mean of its divisors is an integer number (3749963763).

Almost surely, 2122030000100 is an apocalyptic number.

122030000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122030000100 is an abundant number, since it is smaller than the sum of its proper divisors (282966086304).

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

122030000100 is a wasteful number, since it uses less digits than its factorization.

122030000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975854 (or 7975844 counting only the distinct ones).

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

Adding to 122030000100 its reverse (1000030221), we get a palindrome (123030030321).

The spelling of 122030000100 in words is "one hundred twenty-two billion, thirty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 7975817 15951634 23927451 31903268 39879085 47854902 71782353 79758170 95709804 119637255 135588889 143564706 159516340 199395425 239274510 271177778 287129412 358911765 398790850 406766667 478549020 542355556 598186275 677944445 717823530 797581700 813533334 1196372550 1220300001 1355888890 1435647060 1627066668 1794558825 2033833335 2392745100 2440600002 2711777780 3389722225 3589117650 4067666670 4881200004 6101500005 6779444450 7178235300 8135333340 10169166675 12203000010 13558888900 20338333350 24406000020 30507500025 40676666700 61015000050 122030000100