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3002302142120 = 2351722731942433
BaseRepresentation
bin101011101100000111001…
…001110001011010101000
3101122000110121011012202002
4223230013021301122220
5343142203322021440
610215123310230132
7426623563066511
oct53540711613250
911560417135662
103002302142120
11a582a6320176
12405a48ab5348
1318a167775088
14a5452961a08
155316b8da115
hex2bb072716a8

3002302142120 has 64 divisors (see below), whose sum is σ = 7155693763920. Its totient is φ = 1129780609024.

The previous prime is 3002302142113. The next prime is 3002302142131. The reversal of 3002302142120 is 212412032003.

It can be written as a sum of positive squares in 8 ways, for example, as 1234503210724 + 1767798931396 = 1111082^2 + 1329586^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3002302142092 and 3002302142101.

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, 574424 + ... + 2516856.

Almost surely, 23002302142120 is an apocalyptic number.

It is an amenable number.

3002302142120 is an abundant number, since it is smaller than the sum of its proper divisors (4153391621800).

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

3002302142120 is a wasteful number, since it uses less digits than its factorization.

3002302142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944734 (or 1944730 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3002302142120 its reverse (212412032003), we get a palindrome (3214714174123).

The spelling of 3002302142120 in words is "three trillion, two billion, three hundred two million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 2273 4546 9092 11365 18184 22730 38641 45460 77282 90920 154564 193205 309128 386410 772820 1545640 1942433 3884866 7769732 9712165 15539464 19424330 33021361 38848660 66042722 77697320 132085444 165106805 264170888 330213610 660427220 1320854440 4415150209 8830300418 17660600836 22075751045 35321201672 44151502090 75057553553 88303004180 150115107106 176606008360 300230214212 375287767765 600460428424 750575535530 1501151071060 3002302142120