Search a number
-
+
2102103013032 = 23321111197237043
BaseRepresentation
bin11110100101101111000…
…110100111011010101000
321102221220011200022202100
4132211233012213122220
5233420101332404112
64245405350533400
7304605033536631
oct36455706473250
97387804608670
102102103013032
11740551392790
1229b49a067260
131232c5978209
1473a56d42888
1539a31b772dc
hex1e96f1a76a8

2102103013032 has 96 divisors (see below), whose sum is σ = 6211339786080. Its totient is φ = 636941335680.

The previous prime is 2102103013027. The next prime is 2102103013033. The reversal of 2102103013032 is 2303103012012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102103012996 and 2102103013014.

It is not an unprimeable number, because it can be changed into a prime (2102103013033) 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 23 ways as a sum of consecutive naturals, for example, 8749503 + ... + 8986545.

It is an arithmetic number, because the mean of its divisors is an integer number (64701456105).

Almost surely, 22102103013032 is an apocalyptic number.

2102103013032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2102103013032 is an abundant number, since it is smaller than the sum of its proper divisors (4109236773048).

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

2102103013032 is a wasteful number, since it uses less digits than its factorization.

2102103013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248263 (or 248256 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2102103013032 its reverse (2303103012012), we get a palindrome (4405206025044).

The spelling of 2102103013032 in words is "two trillion, one hundred two billion, one hundred three million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 11197 22394 33591 44788 67182 89576 100773 123167 134364 201546 237043 246334 268728 369501 403092 474086 492668 711129 739002 806184 948172 985336 1108503 1422258 1478004 1896344 2133387 2217006 2607473 2844516 2956008 4266774 4434012 5214946 5689032 7822419 8533548 8868024 10429892 15644838 17067096 20859784 23467257 31289676 46934514 62579352 93869028 187738056 2654170471 5308340942 7962511413 10616681884 15925022826 21233363768 23887534239 29195875181 31850045652 47775068478 58391750362 63700091304 87587625543 95550136956 116783500724 175175251086 191100273912 233567001448 262762876629 350350502172 525525753258 700701004344 1051051506516 2102103013032