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201032023332 = 223753306714723
BaseRepresentation
bin1011101100111001110…
…0010011110100100100
3201012220021012220100210
42323032130103310210
511243203144221312
6232204113535420
720344522001250
oct2731634236444
9635807186323
10201032023332
1178291377648
1232b65274570
1315c5a08c27a
149a311a7260
155368d7de3c
hex2ece713d24

201032023332 has 96 divisors (see below), whose sum is σ = 546415414272. Its totient is φ = 56331789696.

The previous prime is 201032023327. The next prime is 201032023337. The reversal of 201032023332 is 233320230102.

It is an interprime number because it is at equal distance from previous prime (201032023327) and next prime (201032023337).

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

It is a junction number, because it is equal to n+sod(n) for n = 201032023299 and 201032023308.

It is not an unprimeable number, because it can be changed into a prime (201032023337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13646923 + ... + 13661645.

It is an arithmetic number, because the mean of its divisors is an integer number (5691827232).

Almost surely, 2201032023332 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 201032023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273207707136).

201032023332 is an abundant number, since it is smaller than the sum of its proper divisors (345383390940).

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

201032023332 is a wasteful number, since it uses less digits than its factorization.

201032023332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17857 (or 17855 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 201032023332 its reverse (233320230102), we get a palindrome (434352253434).

The spelling of 201032023332 in words is "two hundred one billion, thirty-two million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 3067 4452 6134 9201 12268 14723 18402 21469 29446 36804 42938 44169 58892 64407 85876 88338 103061 128814 162551 176676 206122 257628 309183 325102 412244 487653 618366 650204 780319 975306 1137857 1236732 1560638 1950612 2275714 2340957 3121276 3413571 4551428 4681914 5462233 6827142 9363828 10924466 13654284 16386699 21848932 32773398 45155441 65546796 90310882 135466323 180621764 270932646 316088087 541865292 632176174 948264261 1264352348 1896528522 2393238373 3793057044 4786476746 7179715119 9572953492 14359430238 16752668611 28718860476 33505337222 50258005833 67010674444 100516011666 201032023332