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10103705898 = 23111327871151
BaseRepresentation
bin10010110100011101…
…00101000100101010
3222002010220102212120
421122032211010222
5131143022042043
64350325252110
7505244040336
oct113216450452
928063812776
1010103705898
114315307870
121b5b864036
13c5032aa00
146bbc3a7c6
153e2045983
hex25a3a512a

10103705898 has 96 divisors (see below), whose sum is σ = 23921713152. Its totient is φ = 2820168000.

The previous prime is 10103705861. The next prime is 10103705929. The reversal of 10103705898 is 89850730101.

10103705898 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8777623 + ... + 8778773.

It is an arithmetic number, because the mean of its divisors is an integer number (249184512).

Almost surely, 210103705898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103705898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11960856576).

10103705898 is an abundant number, since it is smaller than the sum of its proper divisors (13818007254).

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

10103705898 is a wasteful number, since it uses less digits than its factorization.

10103705898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 10103705898 in words is "ten billion, one hundred three million, seven hundred five thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 787 858 1014 1151 1574 1859 2302 2361 3453 3718 4722 5577 6906 8657 10231 11154 12661 14963 17314 20462 25322 25971 29926 30693 37983 44889 51942 61386 75966 89778 112541 133003 164593 194519 225082 266006 329186 337623 389038 399009 493779 583557 675246 798018 905837 987558 1167114 1463033 1811674 2139709 2717511 2926066 4279418 4389099 5435022 6419127 8778198 9964207 11775881 12838254 19928414 23551762 29892621 35327643 59785242 70655286 129534691 153086453 259069382 306172906 388604073 459259359 777208146 918518718 1683950983 3367901966 5051852949 10103705898