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1057711108233 = 31337258733749
BaseRepresentation
bin11110110010001000111…
…11101011000010001001
310202010010201001111000010
433121010133223002021
5114312143020430413
62125523351502133
7136263032035623
oct17310437530211
93663121044003
101057711108233
1137863338976a
12150ba9387949
137898476c9b0
143929cd1dc13
151c7a808ddc3
hexf6447eb089

1057711108233 has 48 divisors (see below), whose sum is σ = 1563627240000. Its totient is φ = 632209653504.

The previous prime is 1057711108219. The next prime is 1057711108249. The reversal of 1057711108233 is 3328011177501.

1057711108233 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1057711108233 - 220 = 1057710059657 is a prime.

It is a super-2 number, since 2×10577111082332 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1057711108191 and 1057711108200.

It is not an unprimeable number, because it can be changed into a prime (1057711108283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31323643 + ... + 31357391.

It is an arithmetic number, because the mean of its divisors is an integer number (32575567500).

Almost surely, 21057711108233 is an apocalyptic number.

1057711108233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1057711108233 is a deficient number, since it is larger than the sum of its proper divisors (505916131767).

1057711108233 is a wasteful number, since it uses less digits than its factorization.

1057711108233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34426 (or 34389 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 1057711108233 in words is "one trillion, fifty-seven billion, seven hundred eleven million, one hundred eight thousand, two hundred thirty-three".

Divisors: 1 3 13 37 39 111 481 587 1369 1443 1761 4107 7631 17797 21719 22893 33749 53391 65157 101247 282347 438737 803603 847041 1248713 1316211 2410809 3746139 10446839 16233269 19810663 31340517 46202381 48699807 59431989 138607143 257538619 600630953 732994531 772615857 1801892859 2198983593 9528928903 27120797647 28586786709 81362392941 352570369411 1057711108233