Search a number
-
+
111020021020013 = 7293789520931883
BaseRepresentation
bin11001001111100011011100…
…111010100111010101101101
3112120002102002011001101212212
4121033203130322213111231
5104022423000340120023
61032041521002140205
732245634421240410
oct3117433472472555
9476072064041785
10111020021020013
1132413365641816
12105505104b1665
1349c41b23c43b1
141d5b57d381b77
15cc7d43997e78
hex64f8dcea756d

111020021020013 has 64 divisors (see below), whose sum is σ = 136347717312000. Its totient is φ = 88371247878144.

The previous prime is 111020021020001. The next prime is 111020021020063. The reversal of 111020021020013 is 310020120020111.

It is not a de Polignac number, because 111020021020013 - 230 = 111018947278189 is a prime.

It is a super-4 number, since 4×1110200210200134 (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111020021020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020021020063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3482091170 + ... + 3482123052.

It is an arithmetic number, because the mean of its divisors is an integer number (2130433083000).

Almost surely, 2111020021020013 is an apocalyptic number.

It is an amenable number.

111020021020013 is a deficient number, since it is larger than the sum of its proper divisors (25327696291987).

111020021020013 is a wasteful number, since it uses less digits than its factorization.

111020021020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37254.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 111020021020013 its reverse (310020120020111), we get a palindrome (421040141040124).

The spelling of 111020021020013 in words is "one hundred eleven trillion, twenty billion, twenty-one million, twenty thousand, thirteen".

Divisors: 1 7 29 37 89 203 259 623 1073 2581 3293 5209 7511 18067 23051 31883 36463 95497 151061 192733 223181 463601 668479 924607 1057427 1179671 1349131 2837587 3245207 5589257 6472249 8257697 13444429 17153237 19863109 34210459 39124799 82290023 94111003 104990719 120072659 166078547 239473213 497443873 576030161 734935033 1162549829 3044730851 3482107111 4816277863 6144906239 14780990683 21313115957 33713945041 43014343673 103466934781 178202280931 428648729807 546896655271 1247415966517 3000541108649 3828276586897 15860003002859 111020021020013