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1071111011157 = 33112437624597
BaseRepresentation
bin11111001011000110011…
…00001111101101010101
310210101201120100002011000
433211203030033231111
5120022113404324112
62140021150133513
7140246062242165
oct17454314175525
93711646302130
101071111011157
1138328a273100
12153708ab1299
137a00b94aa35
1439bb08265a5
151ccde6857dc
hexf96330fb55

1071111011157 has 48 divisors (see below), whose sum is σ = 1784765899840. Its totient is φ = 634061403360.

The previous prime is 1071111011147. The next prime is 1071111011167. The reversal of 1071111011157 is 7511101111701.

It is an interprime number because it is at equal distance from previous prime (1071111011147) and next prime (1071111011167).

It is not a de Polignac number, because 1071111011157 - 211 = 1071111009109 is a prime.

It is a super-2 number, since 2×10711110111572 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1071111011157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071111011147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3671818 + ... + 3952779.

Almost surely, 21071111011157 is an apocalyptic number.

It is an amenable number.

1071111011157 is a deficient number, since it is larger than the sum of its proper divisors (713654888683).

1071111011157 is a wasteful number, since it uses less digits than its factorization.

1071111011157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624671 (or 7624654 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 27.

Adding to 1071111011157 its reverse (7511101111701), we get a palindrome (8582212122858).

The spelling of 1071111011157 in words is "one trillion, seventy-one billion, one hundred eleven million, eleven thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 27 33 43 99 121 129 297 363 387 473 1089 1161 1419 3267 4257 5203 12771 15609 46827 140481 7624597 22873791 68621373 83870567 205864119 251611701 327857671 754835103 922576237 983573013 2264505309 2767728711 2950719039 3606434381 8303186133 8852157117 10819303143 24909558399 32457909429 39670778191 97373728287 119012334573 357037003719 1071111011157