Search a number
-
+
132301213212 = 223719787105331
BaseRepresentation
bin111101100110111000…
…1000100111000011100
3110122111022001222200210
41323031301010320130
54131423102310322
6140440042052420
712362355520530
oct1731561047034
9418438058623
10132301213212
1151121649733
12217834aa110
13c625882c5c
146590d71bc0
153694dc470c
hex1ecdc44e1c

132301213212 has 96 divisors (see below), whose sum is σ = 371847239680. Its totient is φ = 35765012160.

The previous prime is 132301213207. The next prime is 132301213237. The reversal of 132301213212 is 212312103231.

It is a super-2 number, since 2×1323012132122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 1203387 + ... + 1308717.

Almost surely, 2132301213212 is an apocalyptic number.

132301213212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132301213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185923619840).

132301213212 is an abundant number, since it is smaller than the sum of its proper divisors (239546026468).

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

132301213212 is a wasteful number, since it uses less digits than its factorization.

132301213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106151 (or 106149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132301213212 its reverse (212312103231), we get a palindrome (344613316443).

The spelling of 132301213212 in words is "one hundred thirty-two billion, three hundred one million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 787 798 1574 1596 2361 3148 4722 5509 9444 11018 14953 16527 22036 29906 33054 44859 59812 66108 89718 104671 105331 179436 209342 210662 314013 315993 418684 421324 628026 631986 737317 1256052 1263972 1474634 2001289 2211951 2949268 4002578 4423902 6003867 8005156 8847804 12007734 14009023 24015468 28018046 42027069 56036092 82895497 84054138 165790994 168108276 248686491 331581988 497372982 580268479 994745964 1160536958 1575014443 1740805437 2321073916 3150028886 3481610874 4725043329 6300057772 6963221748 9450086658 11025101101 18900173316 22050202202 33075303303 44100404404 66150606606 132301213212