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103030332032 = 2716746710321
BaseRepresentation
bin101111111110100010…
…1100001101010000000
3100211221100202011022102
41133331011201222000
53142001231111112
6115155333325532
710305121241525
oct1377505415200
9324840664272
10103030332032
113a770a33441
1217b747968a8
13993c584114
144db56c114c
152a302c0bc2
hex17fd161a80

103030332032 has 64 divisors (see below), whose sum is σ = 206947016640. Its totient is φ = 51092090880.

The previous prime is 103030331977. The next prime is 103030332047. The reversal of 103030332032 is 230233030301.

103030332032 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 103030331995 and 103030332013.

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, 9977432 + ... + 9987752.

It is an arithmetic number, because the mean of its divisors is an integer number (3233547135).

Almost surely, 2103030332032 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 103030332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103473508320).

103030332032 is an abundant number, since it is smaller than the sum of its proper divisors (103916684608).

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

103030332032 is a wasteful number, since it uses less digits than its factorization.

103030332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10969 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 103030332032 its reverse (230233030301), we get a palindrome (333263362333).

The spelling of 103030332032 in words is "one hundred three billion, thirty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 167 334 467 668 934 1336 1868 2672 3736 5344 7472 10321 10688 14944 20642 21376 29888 41284 59776 77989 82568 155978 165136 311956 330272 623912 660544 1247824 1321088 1723607 2495648 3447214 4819907 4991296 6894428 9639814 9982592 13788856 19279628 27577712 38559256 55155424 77118512 110310848 154237024 220621696 308474048 616948096 804924469 1609848938 3219697876 6439395752 12878791504 25757583008 51515166016 103030332032