Search a number
-
+
103040200325004 = 2231724115493135277
BaseRepresentation
bin10111011011011011101010…
…100010011011011110001100
3111111211112202201120220110220
4113123123222202123132030
5102001202312240400004
61003052003050431340
730463260135420135
oct2733335242333614
9444745681526426
10103040200325004
112a917115916048
12b681a6a732550
1345658593975b7
141b6325ab40c8c
15bda4a33badd9
hex5db6ea89b78c

103040200325004 has 96 divisors (see below), whose sum is σ = 255644602589376. Its totient is φ = 32189887365120.

The previous prime is 103040200324991. The next prime is 103040200325011. The reversal of 103040200325004 is 400523002040301.

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, 761630214 + ... + 761765490.

It is an arithmetic number, because the mean of its divisors is an integer number (2662964610306).

Almost surely, 2103040200325004 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 103040200325004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127822301294688).

103040200325004 is an abundant number, since it is smaller than the sum of its proper divisors (152604402264372).

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

103040200325004 is a wasteful number, since it uses less digits than its factorization.

103040200325004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151035 (or 151033 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 103040200325004 its reverse (400523002040301), we get a palindrome (503563202365305).

The spelling of 103040200325004 in words is "one hundred three trillion, forty billion, two hundred million, three hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 241 482 723 964 1446 2892 4097 8194 12291 15493 16388 24582 30986 46479 49164 61972 92958 135277 185916 263381 270554 405831 526762 541108 790143 811662 1053524 1580286 1623324 2299709 3160572 3733813 4599418 6899127 7467626 9198836 11201439 13798254 14935252 22402878 27596508 32601757 44805756 63474821 65203514 97805271 126949642 130407028 190424463 195610542 253899284 380848926 391221084 554229869 761697852 1108459738 1662689607 2095846561 2216919476 3325379214 4191693122 6287539683 6650758428 8383386244 12575079366 25150158732 35629391537 71258783074 106888174611 142517566148 213776349222 427552698444 505099021201 1010198042402 1515297063603 2020396084804 3030594127206 6061188254412 8586683360417 17173366720834 25760050081251 34346733441668 51520100162502 103040200325004