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2122103232040 = 235112438451081
BaseRepresentation
bin11110111000010111001…
…101011001011000101000
321111212112000121201102111
4132320113031121120220
5234232031411411130
64302514125012104
7306213460565221
oct36702715313050
97455460551374
102122103232040
11748a84a51300
122a33400b4034
131251623cb72c
14749d3284248
153a30293802a
hex1ee17359628

2122103232040 has 48 divisors (see below), whose sum is σ = 5248259451540. Its totient is φ = 771673900800.

The previous prime is 2122103232037. The next prime is 2122103232043. The reversal of 2122103232040 is 402323012212.

It is an interprime number because it is at equal distance from previous prime (2122103232037) and next prime (2122103232043).

It can be written as a sum of positive squares in 2 ways, for example, as 1952654095876 + 169449136164 = 1397374^2 + 411642^2 .

It is a super-2 number, since 2×21221032320402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2122103232043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219220701 + ... + 219230380.

Almost surely, 22122103232040 is an apocalyptic number.

2122103232040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122103232040 is an abundant number, since it is smaller than the sum of its proper divisors (3126156219500).

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

2122103232040 is a wasteful number, since it uses less digits than its factorization.

2122103232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438451114 (or 438451099 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2122103232040 its reverse (402323012212), we get a palindrome (2524426244252).

The spelling of 2122103232040 in words is "two trillion, one hundred twenty-two billion, one hundred three million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 438451081 876902162 1753804324 2192255405 3507608648 4384510810 4822961891 8769021620 9645923782 17538043240 19291847564 24114809455 38583695128 48229618910 53052580801 96459237820 106105161602 192918475640 212210323204 265262904005 424420646408 530525808010 1061051616020 2122103232040