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122101000000002 = 232172291742457973
BaseRepresentation
bin11011110000110011011010…
…101110110101001000000010
3121000022202000121221111021100
4123300303122232311020002
5112001000322000000002
61111404231450235230
734501335414421512
oct3360633256651002
9530282017844240
10122101000000002
11359a581a373981
121183bba9a25b16
1353190c870a94a
142221a116cb842
15e1b1d954e11c
hex6f0cdabb5202

122101000000002 has 48 divisors (see below), whose sum is σ = 281337264482040. Its totient is φ = 38138920091136.

The previous prime is 122100999999961. The next prime is 122101000000013. The reversal of 122101000000002 is 200000000101221.

It can be written as a sum of positive squares in 4 ways, for example, as 122100754106241 + 245893761 = 11049921^2 + 15681^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871158913 + ... + 871299060.

Almost surely, 2122101000000002 is an apocalyptic number.

122101000000002 is an abundant number, since it is smaller than the sum of its proper divisors (159236264482038).

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

122101000000002 is a wasteful number, since it uses less digits than its factorization.

122101000000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742458227 (or 1742458224 counting only the distinct ones).

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

Adding to 122101000000002 its reverse (200000000101221), we get a palindrome (322101000101223).

The spelling of 122101000000002 in words is "one hundred twenty-two trillion, one hundred one billion, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 34 51 102 153 229 306 458 687 1374 2061 3893 4122 7786 11679 23358 35037 70074 1742457973 3484915946 5227373919 10454747838 15682121757 29621785541 31364243514 59243571082 88865356623 177730713246 266596069869 399022875817 533192139738 798045751634 1197068627451 2394137254902 3591205882353 6783388888889 7182411764706 13566777777778 20350166666667 40700333333334 61050500000001 122101000000002