Search a number
-
+
32212030412133 = 321121321371064737
BaseRepresentation
bin1110101001011111100101…
…01000010101010101100101
311020001102212210011112220100
413110233302220111111211
513210230214241142013
6152302000311454313
76533146066561155
oct724576250252545
9136042783145810
1032212030412133
11a29a055446800
123742aa7987399
1314c8773544a40
147d50db9b4765
153acd974a7473
hex1d4bf2a15565

32212030412133 has 72 divisors (see below), whose sum is σ = 55102776683864. Its totient is φ = 18012266680320.

The previous prime is 32212030412119. The next prime is 32212030412143. The reversal of 32212030412133 is 33121403021223.

32212030412133 is a `hidden beast` number, since 3 + 2 + 212 + 0 + 3 + 0 + 412 + 1 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 282490124004 + 31929540288129 = 531498^2 + 5650623^2 .

It is not a de Polignac number, because 32212030412133 - 29 = 32212030411621 is a prime.

It is a super-2 number, since 2×322120304121332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32212030412097 and 32212030412106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32212030412113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29721141 + ... + 30785877.

Almost surely, 232212030412133 is an apocalyptic number.

32212030412133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

32212030412133 is a deficient number, since it is larger than the sum of its proper divisors (22890746271731).

32212030412133 is a wasteful number, since it uses less digits than its factorization.

32212030412133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066915 (or 1066901 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 32212030412133 its reverse (33121403021223), we get a palindrome (65333433433356).

The spelling of 32212030412133 in words is "thirty-two trillion, two hundred twelve billion, thirty million, four hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 2137 4719 6411 14157 19233 23507 27781 70521 83343 211563 250029 258577 305591 775731 916773 1064737 2327193 2750319 3194211 3361501 9582633 10084503 11712107 13841581 30253509 35136321 41524743 105408963 124574229 128833177 152257391 386499531 456772173 1159498593 1370316519 1674831301 2275342969 5024493903 6826028907 15073481709 20478086721 25028772659 29579458597 75086317977 88738375791 225258953931 266215127373 275316499249 325374044567 825949497747 976122133701 2477848493241 2928366401103 3579114490237 10737343470711 32212030412133