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2145135212420 = 2251734061185233
BaseRepresentation
bin11111001101110100000…
…001011011011110000100
321121001222011100112211212
4133031310001123132010
5240121214103244140
64321243404150552
7310660310312114
oct37156401333604
97531864315755
102145135212420
117578239a4032
122a78a9538458
13127392ca70a5
1475b7a0d9044
153abee963765
hex1f37405b784

2145135212420 has 48 divisors (see below), whose sum is σ = 4769937024048. Its totient is φ = 807552245760.

The previous prime is 2145135212411. The next prime is 2145135212461. The reversal of 2145135212420 is 242125315412.

It can be written as a sum of positive squares in 8 ways, for example, as 124546879744 + 2020588332676 = 352912^2 + 1421474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11488124 + ... + 11673356.

It is an arithmetic number, because the mean of its divisors is an integer number (99373688001).

Almost surely, 22145135212420 is an apocalyptic number.

2145135212420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145135212420 is an abundant number, since it is smaller than the sum of its proper divisors (2624801811628).

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

2145135212420 is a wasteful number, since it uses less digits than its factorization.

2145135212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219320 (or 219318 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 2145135212420 in words is "two trillion, one hundred forty-five billion, one hundred thirty-five million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 34061 68122 136244 170305 185233 340610 370466 579037 681220 740932 926165 1158074 1852330 2316148 2895185 3148961 3704660 5790370 6297922 11580740 12595844 15744805 31489610 62979220 6309221213 12618442426 25236884852 31546106065 63092212130 107256760621 126184424260 214513521242 429027042484 536283803105 1072567606210 2145135212420