Search a number
-
+
212111011332 = 2232112337629417
BaseRepresentation
bin1100010110001011001…
…1010010111000000100
3202021111101021210202200
43011202303102320010
511433400404330312
6241235323034500
721216210563643
oct3054263227004
9667441253680
10212111011332
1181a57155280
123513766ba30
131700448147c
14a3a275935a
1557b68220dc
hex3162cd2e04

212111011332 has 144 divisors (see below), whose sum is σ = 626839903872. Its totient is φ = 59819696640.

The previous prime is 212111011319. The next prime is 212111011349. The reversal of 212111011332 is 233110111212.

212111011332 is a `hidden beast` number, since 21 + 211 + 101 + 1 + 332 = 666.

212111011332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121110113322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22288 + ... + 651704.

It is an arithmetic number, because the mean of its divisors is an integer number (4353054888).

Almost surely, 2212111011332 is an apocalyptic number.

212111011332 is a gapful number since it is divisible by the number (22) 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 212111011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313419951936).

212111011332 is an abundant number, since it is smaller than the sum of its proper divisors (414728892540).

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

212111011332 is a wasteful number, since it uses less digits than its factorization.

212111011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629498 (or 629493 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212111011332 its reverse (233110111212), we get a palindrome (445221122544).

The spelling of 212111011332 in words is "two hundred twelve billion, one hundred eleven million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 37 44 46 66 69 74 92 99 111 132 138 148 198 207 222 253 276 333 396 407 414 444 506 666 759 814 828 851 1012 1221 1332 1518 1628 1702 2277 2442 2553 3036 3404 3663 4554 4884 5106 7326 7659 9108 9361 10212 14652 15318 18722 28083 30636 37444 56166 84249 112332 168498 336996 629417 1258834 1888251 2517668 3776502 5664753 6923587 7553004 11329506 13847174 14476591 20770761 22659012 23288429 27694348 28953182 41541522 43429773 46576858 57906364 62312283 69865287 83083044 86859546 93153716 124624566 130289319 139730574 159242501 173719092 209595861 249249132 256172719 260578638 279461148 318485002 419191722 477727503 512345438 521157276 535633867 636970004 768518157 838383444 955455006 1024690876 1071267734 1433182509 1537036314 1606901601 1910910012 2142535468 2305554471 2866365018 3074072628 3213803202 4611108942 4820704803 5732730036 5891972537 6427606404 9222217884 9641409606 11783945074 17675917611 19282819212 23567890148 35351835222 53027752833 70703670444 106055505666 212111011332