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122010100110 = 232513116996091
BaseRepresentation
bin111000110100001011…
…1100110000110001110
3102122221002112021110200
41301220113212012032
53444334041200420
6132014535514330
711546344511403
oct1615027460616
9378832467420
10122010100110
1147820580088
121b790b289a6
13b675789a12
145c962b02aa
1532916b0b90
hex1c685e618e

122010100110 has 96 divisors (see below), whose sum is σ = 319888483200. Its totient is φ = 32263358400.

The previous prime is 122010100097. The next prime is 122010100151. The reversal of 122010100110 is 11001010221.

It is a happy number.

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 = 122010100092 and 122010100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20028165 + ... + 20034255.

It is an arithmetic number, because the mean of its divisors is an integer number (3332171700).

Almost surely, 2122010100110 is an apocalyptic number.

122010100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122010100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159944241600).

122010100110 is an abundant number, since it is smaller than the sum of its proper divisors (197878383090).

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

122010100110 is a wasteful number, since it uses less digits than its factorization.

122010100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7931 counting only the distinct ones).

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

Adding to 122010100110 its reverse (11001010221), we get a palindrome (133011110331).

The spelling of 122010100110 in words is "one hundred twenty-two billion, ten million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1699 1965 2358 3398 3930 5097 5895 6091 8495 10194 11790 12182 15291 16990 18273 25485 30455 30582 36546 50970 54819 60910 76455 91365 109638 152910 182730 222569 274095 445138 548190 667707 797921 1112845 1335414 1595842 2003121 2225690 2393763 3338535 3989605 4006242 4787526 6677070 7181289 7979210 10015605 10348609 11968815 14362578 20031210 20697218 23937630 31045827 35906445 51743045 62091654 71812890 93137481 103486090 155229135 186274962 310458270 465687405 931374810 1355667779 2711335558 4067003337 6778338895 8134006674 12201010011 13556677790 20335016685 24402020022 40670033370 61005050055 122010100110