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122210210130 = 235174348711443
BaseRepresentation
bin111000111010001001…
…0111101000101010010
3102200110001001220210220
41301310102331011102
54000241303211010
6132050444533510
711554324434501
oct1616422750522
9380401056726
10122210210130
1147913528768
121b827b51296
13b6a8082108
145cb4ac0838
1532a403c970
hex1c744bd152

122210210130 has 128 divisors (see below), whose sum is σ = 318460336128. Its totient is φ = 29894925312.

The previous prime is 122210210123. The next prime is 122210210167. The reversal of 122210210130 is 31012012221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10674189 + ... + 10685631.

It is an arithmetic number, because the mean of its divisors is an integer number (2487971376).

Almost surely, 2122210210130 is an apocalyptic number.

122210210130 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 122210210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159230168064).

122210210130 is an abundant number, since it is smaller than the sum of its proper divisors (196250125998).

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

122210210130 is a wasteful number, since it uses less digits than its factorization.

122210210130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122210210130 its reverse (31012012221), we get a palindrome (153222222351).

The spelling of 122210210130 in words is "one hundred twenty-two billion, two hundred ten million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 430 487 510 645 731 974 1290 1461 1462 2193 2435 2922 3655 4386 4870 7305 7310 8279 10965 11443 14610 16558 20941 21930 22886 24837 34329 41395 41882 49674 57215 62823 68658 82790 104705 114430 124185 125646 171645 194531 209410 248370 314115 343290 355997 389062 492049 583593 628230 711994 972655 984098 1067991 1167186 1476147 1779985 1945310 2135982 2460245 2917965 2952294 3559970 4920490 5339955 5572741 5835930 7380735 8364833 10679910 11145482 14761470 16718223 16729666 25094499 27863705 33436446 41824165 50188998 55727410 83591115 83648330 94736597 125472495 167182230 189473194 239627863 250944990 284209791 473682985 479255726 568419582 718883589 947365970 1198139315 1421048955 1437767178 2396278630 2842097910 3594417945 4073673671 7188835890 8147347342 12221021013 20368368355 24442042026 40736736710 61105105065 122210210130