Search a number
-
+
102003222421134 = 232311032237958617
BaseRepresentation
bin10111001100010101111001…
…110101101001111010001110
3111101011102010221201100000200
4113030111321311221322032
5101332210044414434014
61000535344455234330
730325326640602156
oct2714257165517216
9441142127640020
10102003222421134
112a557361924721
12b534aa89789a6
1344bbb2a199288
141b28da7645766
15bbd510628a09
hex5cc579d69e8e

102003222421134 has 96 divisors (see below), whose sum is σ = 231384148230144. Its totient is φ = 32438682126720.

The previous prime is 102003222421109. The next prime is 102003222421171. The reversal of 102003222421134 is 431124222300201.

102003222421134 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 3 + 222 + 421 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102003222421098 and 102003222421107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8837394 + ... + 16796010.

It is an arithmetic number, because the mean of its divisors is an integer number (2410251544064).

Almost surely, 2102003222421134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003222421134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115692074115072).

102003222421134 is an abundant number, since it is smaller than the sum of its proper divisors (129380925809010).

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

102003222421134 is a wasteful number, since it uses less digits than its factorization.

102003222421134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958982 (or 7958979 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102003222421134 its reverse (431124222300201), we get a palindrome (533127444721335).

The spelling of 102003222421134 in words is "one hundred two trillion, three billion, two hundred twenty-two million, four hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 223 279 309 446 558 618 669 927 1338 1854 2007 3193 4014 6386 6913 9579 13826 19158 20739 22969 28737 41478 45938 57474 62217 68907 124434 137814 206721 413442 712039 1424078 2136117 4272234 6408351 7958617 12816702 15917234 23875851 47751702 71627553 143255106 246717127 493434254 740151381 819737551 1480302762 1639475102 1774771591 2220454143 2459212653 3549543182 4440908286 4918425306 5324314773 7377637959 10648629546 14755275918 15972944319 25411864081 31945888638 50823728162 55017919321 76235592243 110035838642 152471184486 165053757963 182801473873 228706776729 330107515926 365602947746 457413553458 495161273889 548404421619 990322547778 1096808843238 1645213264857 3290426529714 5666845690063 11333691380126 17000537070189 34001074140378 51001611210567 102003222421134