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1210211100096 = 26359357129917
BaseRepresentation
bin10001100111000110001…
…100111110010111000000
311021200202200200201222220
4101213012030332113000
5124312003020200341
62323544023531040
7153302105423115
oct21470614762700
94250680621886
101210211100096
1142727a685799
121766692b9a80
138a178c4797b
144280871c90c
1521731396a66
hex119c633e5c0

1210211100096 has 112 divisors (see below), whose sum is σ = 3257309086080. Its totient is φ = 396442045440.

The previous prime is 1210211100073. The next prime is 1210211100113. The reversal of 1210211100096 is 6900011120121.

It is a happy number.

It is a super-2 number, since 2×12102111000962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40437330 + ... + 40467246.

It is an arithmetic number, because the mean of its divisors is an integer number (29083116840).

Almost surely, 21210211100096 is an apocalyptic number.

1210211100096 is a gapful number since it is divisible by the number (16) 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 1210211100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628654543040).

1210211100096 is an abundant number, since it is smaller than the sum of its proper divisors (2047097985984).

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

1210211100096 is a wasteful number, since it uses less digits than its factorization.

1210211100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33562 (or 33552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 1210211100096 in words is "one trillion, two hundred ten billion, two hundred eleven million, one hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3571 3776 5664 7142 10713 11328 14284 21426 28568 29917 42852 57136 59834 85704 89751 114272 119668 171408 179502 210689 228544 239336 342816 359004 421378 478672 632067 685632 718008 842756 957344 1264134 1436016 1685512 1765103 1914688 2528268 2872032 3371024 3530206 5056536 5295309 5744064 6742048 7060412 10113072 10590618 13484096 14120824 20226144 21181236 28241648 40452288 42362472 56483296 84724944 106833607 112966592 169449888 213667214 320500821 338899776 427334428 641001642 854668856 1282003284 1709337712 2564006568 3418675424 5128013136 6303182813 6837350848 10256026272 12606365626 18909548439 20512052544 25212731252 37819096878 50425462504 75638193756 100850925008 151276387512 201701850016 302552775024 403403700032 605105550048 1210211100096