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120231431053002 = 23341211257370013
BaseRepresentation
bin11011010101100110001111…
…101111010001111011001010
3120202201000100011010122111000
4123111212033233101323022
5111224332432322144002
61103413320143315430
734216301641525203
oct3325461757217312
9522630304118430
10120231431053002
1135344955447775
12115997a6babb76
135211a10442a59
1421993376725aa
15dd776717e61c
hex6d598fbd1eca

120231431053002 has 64 divisors (see below), whose sum is σ = 274994712558720. Its totient is φ = 38914345814400.

The previous prime is 120231431053001. The next prime is 120231431053133. The reversal of 120231431053002 is 200350134132021.

120231431053002 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 314 + 310 + 5 + 30 + 0 + 2 = 666.

It is a super-2 number, since 2×1202314310530022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120231431053001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128217853 + ... + 129152160.

It is an arithmetic number, because the mean of its divisors is an integer number (4296792383730).

Almost surely, 2120231431053002 is an apocalyptic number.

120231431053002 is an abundant number, since it is smaller than the sum of its proper divisors (154763281505718).

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

120231431053002 is a wasteful number, since it uses less digits than its factorization.

120231431053002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257370276 (or 257370270 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 120231431053002 its reverse (200350134132021), we get a palindrome (320581565185023).

The spelling of 120231431053002 in words is "one hundred twenty trillion, two hundred thirty-one billion, four hundred thirty-one million, fifty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 211 246 369 422 633 738 1107 1266 1899 2214 3798 5697 8651 11394 17302 25953 51906 77859 155718 233577 467154 257370013 514740026 772110039 1544220078 2316330117 4632660234 6948990351 10552170533 13897980702 21104341066 31656511599 54305072743 63313023198 94969534797 108610145486 162915218229 189939069594 284908604391 325830436458 488745654687 569817208782 977491309374 1466236964061 2226507982463 2932473928122 4453015964926 6679523947389 13359047894778 20038571842167 40077143684334 60115715526501 120231431053002