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2101231332 = 22322337107641
BaseRepresentation
bin111110100111110…
…0011111011100100
312102102211121111200
41331033203323210
513300403400312
6544300402500
7103033112604
oct17517437344
95372747450
102101231332
119890aa222
124a7846430
1327642c465
1415d0cac04
15c470c0dc
hex7d3e3ee4

2101231332 has 144 divisors (see below), whose sum is σ = 5754333312. Its totient is φ = 644751360.

The previous prime is 2101231277. The next prime is 2101231333. The reversal of 2101231332 is 2331321012.

2101231332 is a `hidden beast` number, since 2 + 101 + 231 + 332 = 666.

It is a super-2 number, since 2×21012313322 = 8830346221156988448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2101231333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3277732 + ... + 3278372.

It is an arithmetic number, because the mean of its divisors is an integer number (39960648).

Almost surely, 22101231332 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 2101231332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877166656).

2101231332 is an abundant number, since it is smaller than the sum of its proper divisors (3653101980).

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

2101231332 is a wasteful number, since it uses less digits than its factorization.

2101231332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2101231332 is about 45839.1899143080. The cubic root of 2101231332 is about 1280.8294046726.

Adding to 2101231332 its reverse (2331321012), we get a palindrome (4432552344).

The spelling of 2101231332 in words is "two billion, one hundred one million, two hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 107 111 138 148 207 214 222 276 321 333 414 428 444 641 642 666 828 851 963 1282 1284 1332 1702 1923 1926 2461 2553 2564 3404 3846 3852 3959 4922 5106 5769 7383 7659 7692 7918 9844 10212 11538 11877 14743 14766 15318 15836 22149 23076 23717 23754 29486 29532 30636 35631 44229 44298 47434 47508 58972 68587 71151 71262 88458 88596 91057 94868 132687 137174 142302 142524 176916 182114 205761 213453 265374 273171 274348 284604 364228 411522 426906 530748 545491 546342 617283 819513 823044 853812 1090982 1092684 1234566 1577501 1636473 1639026 2181964 2469132 2537719 3155002 3272946 3278052 4732503 4909419 5075438 6310004 6545892 7613157 9465006 9818838 10150876 14197509 15226314 18930012 19637676 22839471 28395018 30452628 45678942 56790036 58367537 91357884 116735074 175102611 233470148 350205222 525307833 700410444 1050615666 2101231332