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2112151065416 = 2372311619107357
BaseRepresentation
bin11110101111000110000…
…000111001001101001000
321110220211102212021100122
4132233012000321031020
5234101141133043131
64254150411322412
7305412033555200
oct36570600711510
97426742767318
102112151065416
11744838238207
122a1423150408
131242375bb442
147432b613400
1539e1dd77d7b
hex1ebc6039348

2112151065416 has 96 divisors (see below), whose sum is σ = 4758450105600. Its totient is φ = 875458120320.

The previous prime is 2112151065403. The next prime is 2112151065419. The reversal of 2112151065416 is 6145601512112.

It is a super-2 number, since 2×21121510654162 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112151065419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19620410 + ... + 19727766.

It is an arithmetic number, because the mean of its divisors is an integer number (49567188600).

Almost surely, 22112151065416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112151065416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379225052800).

2112151065416 is an abundant number, since it is smaller than the sum of its proper divisors (2646299040184).

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

2112151065416 is a wasteful number, since it uses less digits than its factorization.

2112151065416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109027 (or 109016 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

Adding to 2112151065416 its reverse (6145601512112), we get a palindrome (8257752577528).

The spelling of 2112151065416 in words is "two trillion, one hundred twelve billion, one hundred fifty-one million, sixty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1619 1736 3038 3238 6076 6476 11333 12152 12952 22666 45332 50189 79331 90664 100378 107357 158662 200756 214714 317324 351323 401512 429428 634648 702646 751499 858856 1405292 1502998 2459261 2810584 3005996 3328067 4918522 5260493 6011992 6656134 9837044 10520986 13312268 19674088 21041972 23296469 26624536 42083944 46592938 93185876 163075283 173810983 186371752 326150566 347621966 652301132 695243932 1216676881 1304602264 1390487864 2433353762 4866707524 5388140473 8516738167 9733415048 10776280946 17033476334 21552561892 34066952668 37716983311 43105123784 68133905336 75433966622 150867933244 264018883177 301735866488 528037766354 1056075532708 2112151065416