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104223134004 = 223112334996791
BaseRepresentation
bin110000100010000101…
…1101101000100110100
3100222000111012210000020
41201010023231010310
53201422110242004
6115513543245140
710346514010353
oct1410413550464
9328014183006
10104223134004
11402232731a0
12182481497b0
139a9c7281c2
145089c9999a
152a9ed888d9
hex18442ed134

104223134004 has 96 divisors (see below), whose sum is σ = 267007104000. Its totient is φ = 31379577600.

The previous prime is 104223133939. The next prime is 104223134009. The reversal of 104223134004 is 400431322401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104223134009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15343849 + ... + 15350639.

It is an arithmetic number, because the mean of its divisors is an integer number (2781324000).

Almost surely, 2104223134004 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 104223134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133503552000).

104223134004 is an abundant number, since it is smaller than the sum of its proper divisors (162783969996).

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

104223134004 is a wasteful number, since it uses less digits than its factorization.

104223134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 104223134004 its reverse (400431322401), we get a palindrome (504654456405).

The spelling of 104223134004 in words is "one hundred four billion, two hundred twenty-three million, one hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 466 499 699 932 998 1398 1497 1996 2563 2796 2994 5126 5489 5988 6791 7689 10252 10978 13582 15378 16467 20373 21956 27164 30756 32934 40746 65868 74701 81492 116267 149402 224103 232534 298804 348801 448206 465068 697602 896412 1278937 1395204 1582303 2557874 3164606 3388709 3836811 4746909 5115748 6329212 6777418 7673622 9493818 10166127 13554836 15347244 17405333 18987636 20332254 34810666 37275799 40664508 52215999 69621332 74551598 104431998 111827397 149103196 208863996 223654794 447309588 789569197 1579138394 2368707591 3158276788 4737415182 8685261167 9474830364 17370522334 26055783501 34741044668 52111567002 104223134004