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103133441004 = 223114756329527
BaseRepresentation
bin110000000001100111…
…0110110101111101100
3100212012112202122020020
41200003032312233230
53142204130103004
6115213455322140
710310512533006
oct1400316665754
9325175678206
10103133441004
113a814158770
1217ba3220350
139957a45a49
144dc5281376
152a3938b8d9
hex18033b6bec

103133441004 has 96 divisors (see below), whose sum is σ = 268592357376. Its totient is φ = 30532246080.

The previous prime is 103133440997. The next prime is 103133441027. The reversal of 103133441004 is 400144331301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3478089 + ... + 3507615.

It is an arithmetic number, because the mean of its divisors is an integer number (2797837056).

Almost surely, 2103133441004 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 103133441004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134296178688).

103133441004 is an abundant number, since it is smaller than the sum of its proper divisors (165458916372).

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

103133441004 is a wasteful number, since it uses less digits than its factorization.

103133441004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30155 (or 30153 counting only the distinct ones).

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

Adding to 103133441004 its reverse (400144331301), we get a palindrome (503277772305).

The spelling of 103133441004 in words is "one hundred three billion, one hundred thirty-three million, four hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 563 564 1034 1126 1551 1689 2068 2252 3102 3378 6193 6204 6756 12386 18579 24772 26461 29527 37158 52922 59054 74316 79383 88581 105844 118108 158766 177162 291071 317532 324797 354324 582142 649594 873213 974391 1164284 1299188 1387769 1746426 1948782 2775538 3492852 3897564 4163307 5551076 8326614 15265459 16623701 16653228 30530918 33247402 45796377 49871103 61061836 66494804 91592754 99742206 182860711 183185508 199484412 365721422 548582133 731442844 781313947 1097164266 1562627894 2194328532 2343941841 3125255788 4687883682 8594453417 9375767364 17188906834 25783360251 34377813668 51566720502 103133441004