Search a number
-
+
103222401024 = 211338943189
BaseRepresentation
bin110000000100010001…
…0001101100000000000
3100212102202011021102210
41200020202031200000
53142344413313044
6115230354142120
710312642634451
oct1401042154000
9325382137383
10103222401024
113a85a399746
1218008b81940
1399702c2502
144dd2ddb128
152a420b01b9
hex180888d800

103222401024 has 96 divisors (see below), whose sum is σ = 275906358000. Its totient is φ = 34318221312.

The previous prime is 103222401011. The next prime is 103222401041. The reversal of 103222401024 is 420104222301.

103222401024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2368422 + ... + 2411610.

Almost surely, 2103222401024 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 103222401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137953179000).

103222401024 is an abundant number, since it is smaller than the sum of its proper divisors (172683956976).

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

103222401024 is an equidigital number, since it uses as much as digits as its factorization.

103222401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43603 (or 43583 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 103222401024 its reverse (420104222301), we get a palindrome (523326623325).

The spelling of 103222401024 in words is "one hundred three billion, two hundred twenty-two million, four hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 389 512 768 778 1024 1167 1536 1556 2048 2334 3072 3112 4668 6144 6224 9336 12448 18672 24896 37344 43189 49792 74688 86378 99584 129567 149376 172756 199168 259134 298752 345512 398336 518268 597504 691024 796672 1036536 1195008 1382048 2073072 2390016 2764096 4146144 5528192 8292288 11056384 16584576 16800521 22112768 33169152 33601042 44225536 50401563 66338304 67202084 88451072 100803126 132676608 134404168 201606252 265353216 268808336 403212504 537616672 806425008 1075233344 1612850016 2150466688 3225700032 4300933376 6451400064 8601866752 12902800128 17203733504 25805600256 34407467008 51611200512 103222401024