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1057101312 = 293688217
BaseRepresentation
bin111111000000100…
…001011000000000
32201200010022101110
4333000201120000
54131104220222
6252521203320
735124133011
oct7700413000
92650108343
101057101312
114a2784953
12256030540
1313b010947
14a0573008
1562c1030c
hex3f021600

1057101312 has 40 divisors (see below), whose sum is σ = 2816188056. Its totient is φ = 352366592.

The previous prime is 1057101281. The next prime is 1057101329. The reversal of 1057101312 is 2131017501.

It is a happy number.

It is a super-2 number, since 2×10571013122 = 2234926367664242688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 342573 + ... + 345644.

Almost surely, 21057101312 is an apocalyptic number.

1057101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057101312 is an abundant number, since it is smaller than the sum of its proper divisors (1759086744).

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

1057101312 is an frugal number, since it uses more digits than its factorization.

1057101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688238 (or 688222 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 1057101312 is about 32513.0944697671. The cubic root of 1057101312 is about 1018.6825590143.

Adding to 1057101312 its reverse (2131017501), we get a palindrome (3188118813).

The spelling of 1057101312 in words is "one billion, fifty-seven million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 688217 1376434 2064651 2752868 4129302 5505736 8258604 11011472 16517208 22022944 33034416 44045888 66068832 88091776 132137664 176183552 264275328 352367104 528550656 1057101312