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1012221111210 = 2353137193152417
BaseRepresentation
bin11101011101011010001…
…01000110101110101010
310120202201102121012101120
432232231011012232222
5113041012101024320
62053001415200110
7133062532324611
oct16565505065652
93522642535346
101012221111210
1136030a479701
12144212976036
13745b51997aa
1436dc5580878
151b4e4611440
hexebad146baa

1012221111210 has 128 divisors (see below), whose sum is σ = 2588833142784. Its totient is φ = 252839854080.

The previous prime is 1012221111203. The next prime is 1012221111233. The reversal of 1012221111210 is 121111222101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1012221111210.

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, 6564922 + ... + 6717338.

It is an arithmetic number, because the mean of its divisors is an integer number (20225258928).

Almost surely, 21012221111210 is an apocalyptic number.

1012221111210 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 1012221111210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294416571392).

1012221111210 is an abundant number, since it is smaller than the sum of its proper divisors (1576612031574).

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

1012221111210 is a wasteful number, since it uses less digits than its factorization.

1012221111210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152688.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1012221111210 its reverse (121111222101), we get a palindrome (1133332333311).

The spelling of 1012221111210 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 193 222 310 370 386 465 555 579 930 965 1110 1147 1158 1930 2294 2895 3441 5735 5790 5983 6882 7141 11470 11966 14282 17205 17949 21423 29915 34410 35705 35898 42846 59830 71410 89745 107115 152417 179490 214230 221371 304834 442742 457251 664113 762085 914502 1106855 1328226 1524170 2213710 2286255 3320565 4572510 4724927 5639429 6641130 9449854 11278858 14174781 16918287 23624635 28197145 28349562 29416481 33836574 47249270 56394290 58832962 70873905 84591435 88249443 141747810 147082405 169182870 174822299 176498886 294164810 349644598 441247215 524466897 874111495 882494430 911910911 1048933794 1088409797 1748222990 1823821822 2176819594 2622334485 2735732733 3265229391 4559554555 5244668970 5442048985 5471465466 6530458782 9119109110 10884097970 13678663665 16326146955 27357327330 32652293910 33740703707 67481407414 101222111121 168703518535 202444222242 337407037070 506110555605 1012221111210