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2132121120 = 25354441919
BaseRepresentation
bin111111100010101…
…1001011000100000
312111120221222022220
41333011121120200
513331310333440
6551322431040
7103556505363
oct17705313040
95446858286
102132121120
119a4588178
124b6062480
1327c95643c
1416324c0da
15c72ae8d0
hex7f159620

2132121120 has 48 divisors (see below), whose sum is σ = 6716183040. Its totient is φ = 568565504.

The previous prime is 2132121109. The next prime is 2132121127. The reversal of 2132121120 is 211212312.

2132121120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2132121120.

It is not an unprimeable number, because it can be changed into a prime (2132121127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2220480 + ... + 2221439.

It is an arithmetic number, because the mean of its divisors is an integer number (139920480).

Almost surely, 22132121120 is an apocalyptic number.

2132121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132121120 is an abundant number, since it is smaller than the sum of its proper divisors (4584061920).

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

2132121120 is a wasteful number, since it uses less digits than its factorization.

2132121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441937 (or 4441929 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2132121120 is about 46174.8970762253. The cubic root of 2132121120 is about 1287.0753042961.

Adding to 2132121120 its reverse (211212312), we get a palindrome (2343333432).

The spelling of 2132121120 in words is "two billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4441919 8883838 13325757 17767676 22209595 26651514 35535352 44419190 53303028 66628785 71070704 88838380 106606056 133257570 142141408 177676760 213212112 266515140 355353520 426424224 533030280 710707040 1066060560 2132121120