Search a number
-
+
233112201021 = 33717179405323
BaseRepresentation
bin1101100100011010010…
…0011110011100111101
3211021200222201210002000
43121012210132130331
512304403210413041
6255031255252513
722561511005140
oct3310644363475
9737628653060
10233112201021
118a95383a997
123921897a139
1318ca03c192b
14b3d59bc057
1560e5406bb6
hex364691e73d

233112201021 has 64 divisors (see below), whose sum is σ = 420239923200. Its totient is φ = 124670562048.

The previous prime is 233112201019. The next prime is 233112201031. The reversal of 233112201021 is 120102211332.

It is not a de Polignac number, because 233112201021 - 21 = 233112201019 is a prime.

It is a super-2 number, since 2×2331122010212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233112200985 and 233112201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233112201031) 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, 372466 + ... + 777788.

It is an arithmetic number, because the mean of its divisors is an integer number (6566248800).

Almost surely, 2233112201021 is an apocalyptic number.

233112201021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233112201021 is a deficient number, since it is larger than the sum of its proper divisors (187127722179).

233112201021 is a wasteful number, since it uses less digits than its factorization.

233112201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405535 (or 405529 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 233112201021 its reverse (120102211332), we get a palindrome (353214412353).

The spelling of 233112201021 in words is "two hundred thirty-three billion, one hundred twelve million, two hundred one thousand, twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 179 189 357 459 537 1071 1253 1611 3043 3213 3759 4833 9129 11277 21301 27387 33831 63903 82161 191709 405323 575127 1215969 2837261 3647907 6890491 8511783 10943721 20671473 25535349 48233437 62014419 72552817 76606047 144700311 186043257 217658451 434100933 507869719 652975353 1233397889 1302302799 1523609157 1958926059 3700193667 4570827471 8633785223 11100581001 13712482413 25901355669 33301743003 77704067007 233112201021