Search a number
-
+
101404133004 = 223231134217723
BaseRepresentation
bin101111001110000101…
…0000100011010001100
3100200202000202200121210
41132130022010122030
53130133424224004
6114330122254420
710216613623506
oct1363412043214
9320660680553
10101404133004
113a006a97aa9
12177a0057410
1397406a7485
144c9d72ad76
152987649089
hex179c28468c

101404133004 has 96 divisors (see below), whose sum is σ = 249705921024. Its totient is φ = 31965373440.

The previous prime is 101404132987. The next prime is 101404133011. The reversal of 101404133004 is 400331404101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13126287 + ... + 13134009.

It is an arithmetic number, because the mean of its divisors is an integer number (2601103344).

Almost surely, 2101404133004 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 101404133004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124852960512).

101404133004 is an abundant number, since it is smaller than the sum of its proper divisors (148301788020).

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

101404133004 is a wasteful number, since it uses less digits than its factorization.

101404133004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101404133004 its reverse (400331404101), we get a palindrome (501735537105).

The spelling of 101404133004 in words is "one hundred one billion, four hundred four million, one hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 12 23 46 69 92 113 138 226 276 339 421 452 678 842 1263 1356 1684 2526 2599 5052 5198 7723 7797 9683 10396 15446 15594 19366 23169 29049 30892 31188 38732 46338 47573 58098 92676 95146 116196 142719 177629 190292 285438 355258 532887 570876 710516 872699 1065774 1094179 1745398 2131548 2188358 2618097 3251383 3282537 3490796 4376716 5236194 6502766 6565074 9754149 10472388 13005532 13130148 19508298 20072077 39016596 40144154 60216231 74781809 80288308 120432462 149563618 224345427 240864924 299127236 367406279 448690854 734812558 897381708 1102218837 1469625116 2204437674 4408875348 8450344417 16900688834 25351033251 33801377668 50702066502 101404133004