Search a number
-
+
102123111432111 = 37112383503460403
BaseRepresentation
bin10111001110000101100011…
…110001111011111110101111
3111101120212121020001010012120
4113032011203301323332233
5101341141113011311421
61001110413145004023
730340102621433340
oct2716054361737657
9441525536033176
10102123111432111
112a5a3194072080
12b554187483613
1344ca225393063
141b30adbd3a0c7
15bc16ca9a88c6
hex5ce163c7bfaf

102123111432111 has 128 divisors (see below), whose sum is σ = 179635173064704. Its totient is φ = 50033248129920.

The previous prime is 102123111432107. The next prime is 102123111432149. The reversal of 102123111432111 is 111234111321201.

It is not a de Polignac number, because 102123111432111 - 22 = 102123111432107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123111432191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221582236 + ... + 222042638.

It is an arithmetic number, because the mean of its divisors is an integer number (1403399789568).

Almost surely, 2102123111432111 is an apocalyptic number.

102123111432111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102123111432111 is a deficient number, since it is larger than the sum of its proper divisors (77512061632593).

102123111432111 is a wasteful number, since it uses less digits than its factorization.

102123111432111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461033.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 102123111432111 its reverse (111234111321201), we get a palindrome (213357222753312).

The spelling of 102123111432111 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred eleven million, four hundred thirty-two thousand, one hundred eleven".

Divisors: 1 3 7 11 21 23 33 69 77 83 161 231 249 253 483 503 581 759 913 1509 1743 1771 1909 2739 3521 5313 5533 5727 6391 10563 11569 13363 16599 19173 20999 34707 38731 40089 41749 62997 80983 116193 125247 127259 146993 242949 292243 381777 440979 459239 460403 876729 890813 960227 1377717 1381209 2672439 2880681 3214673 3222821 5064433 6721589 9644019 9668463 10562497 10589269 15193299 20164767 31687491 31767807 35451031 38213449 73937479 74124883 106353093 114640347 116481959 221812437 222374649 231582709 267494143 349445877 420347939 694748127 802482429 815373713 878909327 1261043817 1621078963 2446121139 2547409799 2636727981 2942435573 4863236889 5326402307 6152365289 7642229397 8827306719 9668002597 15979206921 17831868593 18457095867 19221364847 29004007791 37284816149 53495605779 57664094541 58590425377 67676018179 111854448447 134549553929 175771276131 203028054537 211435013317 403648661787 410132977639 442091391481 634305039951 1230398932917 1326274174443 1480045093219 3094639740367 4440135279657 4863005306291 9283919221101 14589015918873 34041037144037 102123111432111