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2131321032 = 2333471491409
BaseRepresentation
bin111111100001001…
…0110000011001000
312111112110022211000
41333002112003020
513331104233112
6551253335000
7103546633641
oct17702260310
95445408730
102131321032
119a4091045
124b5937460
1327c736209
141630c06c8
15c71a27dc
hex7f0960c8

2131321032 has 128 divisors (see below), whose sum is σ = 6091200000. Its totient is φ = 690167808.

The previous prime is 2131320977. The next prime is 2131321033. The reversal of 2131321032 is 2301231312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2131320996 and 2131321014.

It is not an unprimeable number, because it can be changed into a prime (2131321033) 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, 1511944 + ... + 1513352.

It is an arithmetic number, because the mean of its divisors is an integer number (47587500).

Almost surely, 22131321032 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 2131321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045600000).

2131321032 is an abundant number, since it is smaller than the sum of its proper divisors (3959878968).

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

2131321032 is a wasteful number, since it uses less digits than its factorization.

2131321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1610 counting only the distinct ones).

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

The square root of 2131321032 is about 46166.2325948306. The cubic root of 2131321032 is about 1286.9142905631.

Adding to 2131321032 its reverse (2301231312), we get a palindrome (4432552344).

The spelling of 2131321032 in words is "two billion, one hundred thirty-one million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 149 188 216 282 298 376 423 447 564 596 846 894 1128 1192 1269 1341 1409 1692 1788 2538 2682 2818 3384 3576 4023 4227 5076 5364 5636 7003 8046 8454 10152 10728 11272 12681 14006 16092 16908 21009 25362 28012 32184 33816 38043 42018 50724 56024 63027 66223 76086 84036 101448 126054 132446 152172 168072 189081 198669 209941 252108 264892 304344 378162 397338 419882 504216 529784 596007 629823 756324 794676 839764 1192014 1259646 1512648 1589352 1679528 1788021 1889469 2384028 2519292 3576042 3778938 4768056 5038584 5668407 7152084 7557876 9867227 11336814 14304168 15115752 19734454 22673628 29601681 39468908 45347256 59203362 78937816 88805043 118406724 177610086 236813448 266415129 355220172 532830258 710440344 1065660516 2131321032