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2132322120 = 2332519311743
BaseRepresentation
bin111111100011000…
…1010011101001000
312111121100012001100
41333012022131020
513331333301440
6551331021400
7103561303365
oct17706123510
95447305040
102132322120
119a4705195
124b613a860
1327c9c6a86
141632a146c
15c72ee230
hex7f18a748

2132322120 has 96 divisors (see below), whose sum is σ = 7294809600. Its totient is φ = 538690176.

The previous prime is 2132322119. The next prime is 2132322131. The reversal of 2132322120 is 212232312.

2132322120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 2132322093 and 2132322102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149032 + ... + 162711.

It is an arithmetic number, because the mean of its divisors is an integer number (75987600).

Almost surely, 22132322120 is an apocalyptic number.

2132322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132322120 is an abundant number, since it is smaller than the sum of its proper divisors (5162487480).

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

2132322120 is a wasteful number, since it uses less digits than its factorization.

2132322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311779 (or 311772 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2132322120 is about 46177.0735322194. The cubic root of 2132322120 is about 1287.1157482160.

Adding to 2132322120 its reverse (212232312), we get a palindrome (2344554432).

The spelling of 2132322120 in words is "two billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 311743 623486 935229 1246972 1558715 1870458 2493944 2805687 3117430 3740916 4676145 5611374 5923117 6234860 7481832 9352290 11222748 11846234 12469720 14028435 17769351 18704580 22445496 23692468 28056870 29615585 35538702 37409160 47384936 53308053 56113740 59231170 71077404 88846755 106616106 112227480 118462340 142154808 177693510 213232212 236924680 266540265 355387020 426464424 533080530 710774040 1066161060 2132322120