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122010101010 = 23357312082439
BaseRepresentation
bin111000110100001011…
…1100110010100010010
3102122221002112022201000
41301220113212110102
53444334041213020
6132014535522430
711546344514130
oct1615027462422
9378832468630
10122010101010
1147820580826
121b790b29416
13b67578a255
145c962b0750
1532916b1090
hex1c685e6512

122010101010 has 128 divisors (see below), whose sum is σ = 383835340800. Its totient is φ = 26988396480.

The previous prime is 122010101009. The next prime is 122010101047. The reversal of 122010101010 is 10101010221.

It is a happy number.

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

122010101010 is a modest number, since divided by 10101010 gives 1220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 122010100983 and 122010101001.

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 63 ways as a sum of consecutive naturals, for example, 982630 + ... + 1099809.

It is an arithmetic number, because the mean of its divisors is an integer number (2998713600).

Almost surely, 2122010101010 is an apocalyptic number.

122010101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122010101010 is an abundant number, since it is smaller than the sum of its proper divisors (261825239790).

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

122010101010 is a wasteful number, since it uses less digits than its factorization.

122010101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082493 (or 2082487 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 122010101010 its reverse (10101010221), we get a palindrome (132111111231).

The spelling of 122010101010 in words is "one hundred twenty-two billion, ten million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2170 2790 3255 3906 4185 5859 6510 8370 9765 11718 19530 29295 58590 2082439 4164878 6247317 10412195 12494634 14577073 18741951 20824390 29154146 31236585 37483902 43731219 56225853 62473170 64555609 72885365 87462438 93709755 112451706 129111218 131193657 145770730 187419510 193666827 218656095 262387314 281129265 322778045 387333654 393580971 437312190 451889263 562258530 581000481 645556090 655968285 787161942 903778526 968334135 1162000962 1311936570 1355667789 1743001443 1936668270 1967904855 2259446315 2711335578 2905002405 3486002886 3935809710 4067003367 4518892630 5810004810 6778338945 8134006734 8715007215 12201010101 13556677890 17430014430 20335016835 24402020202 40670033670 61005050505 122010101010