Search a number
-
+
101002011111122 = 211198321531352171
BaseRepresentation
bin10110111101110001011100…
…111111100110111011010010
3111020121200211210222222120212
4112331301130333212323102
5101214304104321023442
6554451403334204122
730163103664101102
oct2675613477467322
9436550753888525
10101002011111122
112a200792178680
12b3b2a491b3642
1344485aac79364
141ad27483a7202
15ba2462890a82
hex5bdc5cfe6ed2

101002011111122 has 64 divisors (see below), whose sum is σ = 176152746954240. Its totient is φ = 42949678838400.

The previous prime is 101002011111019. The next prime is 101002011111137. The reversal of 101002011111122 is 221111110200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002011111097 and 101002011111106.

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, 74020097 + ... + 75372267.

It is an arithmetic number, because the mean of its divisors is an integer number (2752386671160).

Almost surely, 2101002011111122 is an apocalyptic number.

101002011111122 is a deficient number, since it is larger than the sum of its proper divisors (75150735843118).

101002011111122 is a wasteful number, since it uses less digits than its factorization.

101002011111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354439.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101002011111122 its reverse (221111110200101), we get a palindrome (322113121311223).

The spelling of 101002011111122 in words is "one hundred one trillion, two billion, eleven million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 38 83 166 209 418 913 1577 1826 2153 3154 4306 17347 23683 34694 40907 47366 81814 178699 357398 449977 899954 1352171 1965689 2704342 3395281 3931378 6790562 14873881 25691249 29747762 37348091 51382498 74696182 112230193 224460386 282603739 565207478 1234532123 2132373667 2469064246 2911224163 4264747334 5822448326 23456110337 32023465793 46912220674 55313259097 64046931586 110626518194 241631605529 483263211058 608445850067 1216891700134 2657947660819 4591000505051 5315895321638 9182001010102 50501005555561 101002011111122