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210122100001120 = 25541222791437713
BaseRepresentation
bin101111110001101011011101…
…001000010100100101100000
31000112222110212102120000212111
4233301223131020110211200
5210020120030100013440
62022520432105205104
762154551342604556
oct5761533510244540
91015873772500774
10210122100001120
1160a513116403aa
121b6970a2190794
1390325766bcc78
1439c5d6cd45bd6
151945b585004ea
hexbf1add214960

210122100001120 has 96 divisors (see below), whose sum is σ = 508544285497920. Its totient is φ = 81995130716160.

The previous prime is 210122100001091. The next prime is 210122100001127. The reversal of 210122100001120 is 21100001221012.

It is a self number, because there is not a number n which added to its sum of digits gives 210122100001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122100001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145431384 + ... + 146869096.

It is an arithmetic number, because the mean of its divisors is an integer number (5297336307270).

Almost surely, 2210122100001120 is an apocalyptic number.

210122100001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122100001120 is an abundant number, since it is smaller than the sum of its proper divisors (298422185496800).

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

210122100001120 is a wasteful number, since it uses less digits than its factorization.

210122100001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460048 (or 1460040 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210122100001120 its reverse (21100001221012), we get a palindrome (231222101222132).

The spelling of 210122100001120 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 22279 44558 89116 111395 178232 222790 356464 445580 712928 891160 913439 1437713 1782320 1826878 2875426 3564640 3653756 4567195 5750852 7188565 7307512 9134390 11501704 14377130 14615024 18268780 23003408 28754260 29230048 36537560 46006816 57508520 58946233 73075120 115017040 117892466 146150240 230034080 235784932 294731165 471569864 589462330 943139728 1178924660 1886279456 2357849320 4715698640 9431397280 32030807927 64061615854 128123231708 160154039635 256246463416 320308079270 512492926832 640616158540 1024985853664 1281232317080 1313263125007 2562464634160 2626526250014 5124929268320 5253052500028 6566315625035 10506105000056 13132631250070 21012210000112 26265262500140 42024420000224 52530525000280 105061050000560 210122100001120