Search a number
-
+
211215150132 = 223721743348799
BaseRepresentation
bin1100010010110101100…
…1110110110000110100
3202012011221120100020020
43010231121312300310
511430032034301012
6241010401405140
721155052103500
oct3045531666064
9665157510206
10211215150132
118163749a518
1234b276397b0
1316bc09a689c
14a319799300
155762d61a8c
hex312d676c34

211215150132 has 144 divisors (see below), whose sum is σ = 608436057600. Its totient is φ = 56665018368.

The previous prime is 211215150119. The next prime is 211215150161. The reversal of 211215150132 is 231051512112.

211215150132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112151501322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4303869 + ... + 4352667.

It is an arithmetic number, because the mean of its divisors is an integer number (4225250400).

Almost surely, 2211215150132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211215150132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304218028800).

211215150132 is an abundant number, since it is smaller than the sum of its proper divisors (397220907468).

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

211215150132 is a wasteful number, since it uses less digits than its factorization.

211215150132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49270 (or 49261 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 211215150132 its reverse (231051512112), we get a palindrome (442266662244).

The spelling of 211215150132 in words is "two hundred eleven billion, two hundred fifteen million, one hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 433 476 588 714 833 866 1299 1428 1666 1732 2499 2598 3031 3332 4998 5196 6062 7361 9093 9996 12124 14722 18186 21217 22083 29444 36372 42434 44166 48799 51527 63651 84868 88332 97598 103054 127302 146397 154581 195196 206108 254604 292794 309162 341593 360689 585588 618324 683186 721378 829583 1024779 1082067 1366372 1442756 1659166 2049558 2164134 2391151 2488749 3318332 4099116 4328268 4782302 4977498 5807081 7173453 9564604 9954996 11614162 14346906 17421243 21129967 23228324 28693812 34842486 40649567 42259934 63389901 69684972 81299134 84519868 121948701 126779802 147909769 162598268 243897402 253559604 295819538 359209439 443729307 487794804 591639076 718418878 887458614 1035368383 1077628317 1436837756 1774917228 2070736766 2155256634 2514466073 3106105149 4141473532 4310513268 5028932146 6212210298 7543398219 10057864292 12424420596 15086796438 17601262511 30173592876 35202525022 52803787533 70405050044 105607575066 211215150132