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10133104344 = 2331125365837
BaseRepresentation
bin10010110111111101…
…01110011011011000
3222011012020000221220
421123332232123120
5131223033314334
64353255332040
7506051652156
oct113376563330
928135200856
1010133104344
11432a967300
121b69681020
13c56451c3c
146c1ad03d6
153e4901449
hex25bfae6d8

10133104344 has 96 divisors (see below), whose sum is σ = 28370910960. Its totient is φ = 3012655360.

The previous prime is 10133104279. The next prime is 10133104351. The reversal of 10133104344 is 44340133101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120994 + ... + 186830.

Almost surely, 210133104344 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 10133104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185455480).

10133104344 is an abundant number, since it is smaller than the sum of its proper divisors (18237806616).

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

10133104344 is a wasteful number, since it uses less digits than its factorization.

10133104344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65921 (or 65906 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10133104344 its reverse (44340133101), we get a palindrome (54473237445).

The spelling of 10133104344 in words is "ten billion, one hundred thirty-three million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 121 132 159 212 242 264 318 363 424 484 583 636 726 968 1166 1272 1452 1749 2332 2904 3498 4664 6413 6996 12826 13992 19239 25652 38478 51304 65837 76956 131674 153912 197511 263348 395022 526696 724207 790044 1448414 1580088 2172621 2896828 3489361 4345242 5793656 6978722 7966277 8690484 10468083 13957444 15932554 17380968 20936166 23898831 27914888 31865108 38382971 41872332 47797662 63730216 76765942 83744664 95595324 115148913 153531884 191190648 230297826 307063768 422212681 460595652 844425362 921191304 1266638043 1688850724 2533276086 3377701448 5066552172 10133104344