Search a number
-
+
11102122021230 = 2345109125746087
BaseRepresentation
bin1010000110001110101000…
…0010100001000101101110
31110022100111222020212110000
42201203222002201011232
52423344121214134410
635340124444525130
72224046635063542
oct241435202410556
943270458225400
1011102122021230
1135a04244a3a69
1212b37ba2507a6
13626c05761a56
142a54ba375a22
15143bd1d5adc0
hexa18ea0a116e

11102122021230 has 80 divisors (see below), whose sum is σ = 30126247763040. Its totient is φ = 2933404694208.

The previous prime is 11102122021223. The next prime is 11102122021231. The reversal of 11102122021230 is 3212022120111.

11102122021230 is a `hidden beast` number, since 11 + 10 + 212 + 202 + 1 + 230 = 666.

It is a super-3 number, since 3×111021220212303 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102122021231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62784754 + ... + 62961333.

It is an arithmetic number, because the mean of its divisors is an integer number (376578097038).

Almost surely, 211102122021230 is an apocalyptic number.

11102122021230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11102122021230 is an abundant number, since it is smaller than the sum of its proper divisors (19024125741810).

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

11102122021230 is a wasteful number, since it uses less digits than its factorization.

11102122021230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125746215 (or 125746206 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11102122021230 its reverse (3212022120111), we get a palindrome (14314144141341).

The spelling of 11102122021230 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 218 270 327 405 545 654 810 981 1090 1635 1962 2943 3270 4905 5886 8829 9810 14715 17658 29430 44145 88290 125746087 251492174 377238261 628730435 754476522 1131714783 1257460870 1886191305 2263429566 3395144349 3772382610 5658573915 6790288698 10185433047 11317147830 13706323483 16975721745 20370866094 27412646966 33951443490 41118970449 50927165235 68531617415 82237940898 101854330470 123356911347 137063234830 205594852245 246713822694 370070734041 411189704490 616784556735 740141468082 1110212202123 1233569113470 1850353670205 2220424404246 3700707340410 5551061010615 11102122021230