Search a number
-
+
10033110304 = 257475317981
BaseRepresentation
bin10010101100000010…
…10001110100100000
3221220020001210220221
421112001101310200
5131021434012204
64335324212424
7503426013310
oct112601216440
927806053827
1010033110304
11428947a2a8
121b4009a114
13c3b811079
146b2701440
153dac4d654
hex256051d20

10033110304 has 96 divisors (see below), whose sum is σ = 23491109376. Its totient is φ = 4128783360.

The previous prime is 10033110271. The next prime is 10033110349. The reversal of 10033110304 is 40301133001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548994 + ... + 566974.

It is an arithmetic number, because the mean of its divisors is an integer number (244699056).

Almost surely, 210033110304 is an apocalyptic number.

10033110304 is a gapful number since it is divisible by the number (14) 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 10033110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745554688).

10033110304 is an abundant number, since it is smaller than the sum of its proper divisors (13457999072).

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

10033110304 is a wasteful number, since it uses less digits than its factorization.

10033110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18098 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10033110304 its reverse (40301133001), we get a palindrome (50334243305).

The spelling of 10033110304 in words is "ten billion, thirty-three million, one hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 53 56 94 106 112 188 212 224 329 371 376 424 658 742 752 848 1316 1484 1504 1696 2491 2632 2968 4982 5264 5936 9964 10528 11872 17437 17981 19928 34874 35962 39856 69748 71924 79712 125867 139496 143848 251734 278992 287696 503468 557984 575392 845107 952993 1006936 1690214 1905986 2013872 3380428 3811972 4027744 5915749 6670951 6760856 7623944 11831498 13341902 13521712 15247888 23662996 26683804 27043424 30495776 44790671 47325992 53367608 89581342 94651984 106735216 179162684 189303968 213470432 313534697 358325368 627069394 716650736 1254138788 1433301472 2508277576 5016555152 10033110304