Search a number
-
+
111241012010010 = 235191933359301039
BaseRepresentation
bin11001010010110001010001…
…000000010101110000011010
3112120212112111101120212100020
4121102301101000111300122
5104040033043033310020
61032331225422051310
732300616656535111
oct3122612100256032
9476775441525306
10111241012010010
1132499059261433
1210587305a19b36
134a0bca04c22bc
141d681451ccc78
15ccd979b89c40
hex652c51015c1a

111241012010010 has 128 divisors (see below), whose sum is σ = 282571075584000. Its totient is φ = 27948965179392.

The previous prime is 111241012009993. The next prime is 111241012010069. The reversal of 111241012010010 is 10010210142111.

It is a happy number.

It is a super-2 number, since 2×1112410120100102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369373071 + ... + 369674109.

It is an arithmetic number, because the mean of its divisors is an integer number (2207586528000).

Almost surely, 2111241012010010 is an apocalyptic number.

111241012010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111241012010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141285537792000).

111241012010010 is an abundant number, since it is smaller than the sum of its proper divisors (171330063573990).

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

111241012010010 is a wasteful number, since it uses less digits than its factorization.

111241012010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304620.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111241012010010 its reverse (10010210142111), we get a palindrome (121251222152121).

The spelling of 111241012010010 in words is "one hundred eleven trillion, two hundred forty-one billion, twelve million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 193 285 386 570 579 965 1158 1930 2895 3359 3667 5790 6718 7334 10077 11001 16795 18335 20154 22002 33590 36670 50385 55005 63821 100770 110010 127642 191463 301039 319105 382926 602078 638210 648287 903117 957315 1296574 1505195 1806234 1914630 1944861 3010390 3241435 3889722 4515585 5719741 6482870 9031170 9724305 11439482 12317453 17159223 19448610 24634906 28598705 34318446 36952359 57197410 58100527 61587265 73904718 85796115 116201054 123174530 171592230 174301581 184761795 290502635 348603162 369523590 581005270 871507905 1011190001 1103910013 1743015810 2022380002 2207820026 3033570003 3311730039 5055950005 5519550065 6067140006 6623460078 10111900010 11039100130 15167850015 16558650195 19212610019 30335700030 33117300390 38425220038 57637830057 96063050095 115275660114 192126100190 195159670193 288189150285 390319340386 576378300570 585479010579 975798350965 1170958021158 1951596701930 2927395052895 3708033733667 5854790105790 7416067467334 11124101201001 18540168668335 22248202402002 37080337336670 55620506005005 111241012010010