Search a number
-
+
231211112303223 = 35132511541318919
BaseRepresentation
bin110100100100100100001000…
…001101111000101001110111
31010022122120021221210102100000
4310210210020031320221313
5220301130324222200343
62135424530232322343
766462310621516413
oct6444441015705167
91108576257712300
10231211112303223
116774209a263368
1221b223198433b3
139c02164270c80
14411496b27dd43
151bae4e93c7ed3
hexd24908378a77

231211112303223 has 96 divisors (see below), whose sum is σ = 374512611432960. Its totient is φ = 141700208976000.

The previous prime is 231211112303209. The next prime is 231211112303261. The reversal of 231211112303223 is 322303211112132.

231211112303223 is a `hidden beast` number, since 2 + 3 + 1 + 21 + 1 + 112 + 303 + 223 = 666.

It is not a de Polignac number, because 231211112303223 - 241 = 229012089047671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231211112307223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12221096958 + ... + 12221115876.

It is an arithmetic number, because the mean of its divisors is an integer number (3901173035760).

Almost surely, 2231211112303223 is an apocalyptic number.

231211112303223 is a deficient number, since it is larger than the sum of its proper divisors (143301499129737).

231211112303223 is a wasteful number, since it uses less digits than its factorization.

231211112303223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34611 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 231211112303223 its reverse (322303211112132), we get a palindrome (553514323415355).

The spelling of 231211112303223 in words is "two hundred thirty-one trillion, two hundred eleven billion, one hundred twelve million, three hundred three thousand, two hundred twenty-three".

Divisors: 1 3 9 13 27 39 81 117 243 251 351 753 1053 2259 3159 3263 6777 9789 15413 18919 20331 29367 46239 56757 60993 88101 138717 170271 200369 245947 264303 416151 510813 601107 737841 792909 1248453 1532439 1803321 2213523 3745359 3868663 4597317 4748669 5409963 6640569 11605989 14246007 16229889 19921707 34817967 42738021 48689667 50292619 59765121 61732697 104453901 128214063 150877857 185198091 291598547 313361703 384642189 452633571 555594273 874795641 940085109 1153926567 1357900713 1666782819 2624386923 3790781111 4073702139 5000348457 7873160769 11372343333 12221106417 15001045371 23619482307 34117029999 70858446921 73191235297 102351089997 219573705891 307053269991 658721117673 921159809973 951486058861 1976163353019 2854458176583 5928490059057 8563374529749 17785470177171 25690123589247 77070370767741 231211112303223