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1010120331312 = 243264171109313
BaseRepresentation
bin11101011001011111101…
…11010001000000110000
310120120022000121112010200
432230233313101000300
5113022211301100222
62052013132155200
7132656503102101
oct16545767210060
93516260545120
101010120331312
1135a431658674
12143927308b00
137433bb97971
1436c665703a8
151b41ee92eac
hexeb2fdd1030

1010120331312 has 60 divisors (see below), whose sum is σ = 2827003897224. Its totient is φ = 336698449920.

The previous prime is 1010120331307. The next prime is 1010120331313. The reversal of 1010120331312 is 2131330210101.

1010120331312 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 20 + 331 + 312 = 666.

1010120331312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1010120331313) 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, 9185968 + ... + 9295280.

Almost surely, 21010120331312 is an apocalyptic number.

1010120331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010120331312 is an abundant number, since it is smaller than the sum of its proper divisors (1816883565912).

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

1010120331312 is a wasteful number, since it uses less digits than its factorization.

1010120331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173498 (or 173489 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1010120331312 its reverse (2131330210101), we get a palindrome (3141450541413).

The spelling of 1010120331312 in words is "one trillion, ten billion, one hundred twenty million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 64171 109313 128342 192513 218626 256684 327939 385026 437252 513368 577539 655878 770052 874504 983817 1026736 1155078 1311756 1540104 1749008 1967634 2310156 2623512 3080208 3935268 4620312 5247024 7870536 9240624 15741072 7014724523 14029449046 21044173569 28058898092 42088347138 56117796184 63132520707 84176694276 112235592368 126265041414 168353388552 252530082828 336706777104 505060165656 1010120331312