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1001221122132 = 2232711733492757
BaseRepresentation
bin11101001000111010110…
…11011110100001010100
310112201022211011212010200
432210131123132201110
5112401000101402012
62043542111220500
7132223123055610
oct16443533364124
93481284155120
101001221122132
11356685249040
12142062b17730
137355127710a
14366606b4340
151b09da753dc
hexe91d6de854

1001221122132 has 144 divisors (see below), whose sum is σ = 3159674673792. Its totient is φ = 259702122240.

The previous prime is 1001221122107. The next prime is 1001221122163. The reversal of 1001221122132 is 2312211221001.

It is a super-2 number, since 2×10012211221322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 1785498 + ... + 2278254.

Almost surely, 21001221122132 is an apocalyptic number.

1001221122132 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 1001221122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579837336896).

1001221122132 is an abundant number, since it is smaller than the sum of its proper divisors (2158453551660).

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

1001221122132 is a wasteful number, since it uses less digits than its factorization.

1001221122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493518 (or 493513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1001221122132 its reverse (2312211221001), we get a palindrome (3313432343133).

The spelling of 1001221122132 in words is "one trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 733 924 1386 1466 2199 2772 2932 4398 5131 6597 8063 8796 10262 13194 15393 16126 20524 24189 26388 30786 32252 46179 48378 56441 61572 72567 92358 96756 112882 145134 169323 184716 225764 290268 338646 492757 507969 677292 985514 1015938 1478271 1971028 2031876 2956542 3449299 4434813 5420327 5913084 6898598 8869626 10347897 10840654 13797196 16260981 17739252 20695794 21681308 31043691 32521962 37942289 41391588 48782943 62087382 65043924 75884578 97565886 113826867 124174764 151769156 195131772 227653734 341480601 361190881 455307468 682961202 722381762 1083572643 1365922404 1444763524 2167145286 2528336167 3250717929 3973099691 4334290572 5056672334 6501435858 7585008501 7946199382 10113344668 11919299073 13002871716 15170017002 15892398764 22755025503 23838598146 27811697837 30340034004 35757897219 45510051006 47677196292 55623395674 71515794438 83435093511 91020102012 111246791348 143031588876 166870187022 250305280533 333740374044 500610561066 1001221122132