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22100122112100 = 22352383192342229
BaseRepresentation
bin1010000011001100101011…
…11011011001000001100100
32220020202021111201122011220
411001212111323121001210
510344042022230041400
6115000353403300340
74440452425314264
oct501462573310144
986222244648156
1022100122112100
11705067786860a
12258b19a21a6b0
13c44056740c06
1456591a0777a4
15284d1cb6e7a0
hex141995ed9064

22100122112100 has 72 divisors (see below), whose sum is σ = 64109973365760. Its totient is φ = 5877978487680.

The previous prime is 22100122112021. The next prime is 22100122112137. The reversal of 22100122112100 is 121122100122.

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 22100122112100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96056215 + ... + 96286014.

Almost surely, 222100122112100 is an apocalyptic number.

22100122112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100122112100 is an abundant number, since it is smaller than the sum of its proper divisors (42009851253660).

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

22100122112100 is a wasteful number, since it uses less digits than its factorization.

22100122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192342629 (or 192342622 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22100122112100 its reverse (121122100122), we get a palindrome (22221244212222).

The spelling of 22100122112100 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 383 766 1149 1532 1915 2298 3830 4596 5745 7660 9575 11490 19150 22980 28725 38300 57450 114900 192342229 384684458 577026687 769368916 961711145 1154053374 1923422290 2308106748 2885133435 3846844580 4808555725 5770266870 9617111450 11540533740 14425667175 19234222900 28851334350 57702668700 73667073707 147334147414 221001221121 294668294828 368335368535 442002442242 736670737070 884004884484 1105006105605 1473341474140 1841676842675 2210012211210 3683353685350 4420024422420 5525030528025 7366707370700 11050061056050 22100122112100