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122200010010 = 232513104444453
BaseRepresentation
bin111000111001110110…
…0000010110100011010
3102200102022212200212200
41301303230002310122
54000231200310020
6132045442151030
711554141642521
oct1616354026432
9380368780780
10122200010010
11479087a1211
121b824652476
13b6a5c20440
145cb35c74b8
1532a31c5590
hex1c73b02d1a

122200010010 has 48 divisors (see below), whose sum is σ = 342160031304. Its totient is φ = 30080002176.

The previous prime is 122200010003. The next prime is 122200010047. The reversal of 122200010010 is 10010002221.

It can be written as a sum of positive squares in 4 ways, for example, as 81932765121 + 40267244889 = 286239^2 + 200667^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 122200009974 and 122200010001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52221057 + ... + 52223396.

Almost surely, 2122200010010 is an apocalyptic number.

122200010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122200010010 is an abundant number, since it is smaller than the sum of its proper divisors (219960021294).

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

122200010010 is a wasteful number, since it uses less digits than its factorization.

122200010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104444479 (or 104444476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122200010010 its reverse (10010002221), we get a palindrome (132210012231).

The spelling of 122200010010 in words is "one hundred twenty-two billion, two hundred million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 104444453 208888906 313333359 522222265 626666718 940000077 1044444530 1357777889 1566666795 1880000154 2715555778 3133333590 4073333667 4700000385 6788889445 8146667334 9400000770 12220001001 13577778890 20366668335 24440002002 40733336670 61100005005 122200010010