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22012211110100 = 225259283112911677
BaseRepresentation
bin1010000000101000111100…
…00001100010000011010100
32212221100100211200000120212
411000110132001202003110
510341122002021010400
6114452134205344552
74431221053163021
oct500243601420324
985840324600525
1022012211110100
117017365350652
122576144b68158
13c38986656b33
1456157a7a0548
152828c4dd5335
hex14051e0620d4

22012211110100 has 144 divisors (see below), whose sum is σ = 48795102955200. Its totient is φ = 8616686238720.

The previous prime is 22012211110081. The next prime is 22012211110129. The reversal of 22012211110100 is 101111221022.

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, 1885085462 + ... + 1885097138.

Almost surely, 222012211110100 is an apocalyptic number.

22012211110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012211110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24397551477600).

22012211110100 is an abundant number, since it is smaller than the sum of its proper divisors (26782891845100).

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

22012211110100 is a wasteful number, since it uses less digits than its factorization.

22012211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13162 (or 13155 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22012211110100 its reverse (101111221022), we get a palindrome (22113322331122).

The spelling of 22012211110100 in words is "twenty-two trillion, twelve billion, two hundred eleven million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 283 295 566 590 1129 1132 1180 1415 1475 2258 2830 2950 4516 5645 5660 5900 7075 11290 11677 14150 16697 22580 23354 28225 28300 33394 46708 56450 58385 66611 66788 83485 112900 116770 133222 166970 233540 266444 291925 319507 333055 333940 417425 583850 639014 666110 688943 834850 1167700 1278028 1332220 1377886 1597535 1665275 1669700 2755772 3195070 3304591 3330550 3444715 6390140 6609182 6661100 6889430 7987675 13183333 13218364 13778860 15975350 16522955 17223575 18850913 26366666 31950700 33045910 34447150 37701826 52733332 65916665 66091820 68894300 75403652 82614775 94254565 131833330 165229550 188509130 194970869 263666660 329583325 330459100 377018260 389941738 471272825 659166650 777816647 779883476 942545650 974854345 1318333300 1555633294 1885091300 1949708690 3111266588 3730883239 3889083235 3899417380 4874271725 7461766478 7778166470 9748543450 14923532956 15556332940 18654416195 19445416175 19497086900 37308832390 38890832350 74617664780 77781664700 93272080975 186544161950 220122111101 373088323900 440244222202 880488444404 1100610555505 2201221111010 4402442222020 5503052777525 11006105555050 22012211110100