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1011110010064 = 247112928300213
BaseRepresentation
bin11101011011010101101…
…10100101110011010000
310120122211222212102011021
432231222312211303100
5113031223130310224
62052255244325224
7133023151164640
oct16555266456320
93518758772137
101011110010064
1135a89a2719a0
12143b62843814
1374468c2ccab
1436d1bb92520
151b47bcd61e4
hexeb6ada5cd0

1011110010064 has 80 divisors (see below), whose sum is σ = 2526643105920. Its totient is φ = 380354849280.

The previous prime is 1011110010049. The next prime is 1011110010077. The reversal of 1011110010064 is 4600100111101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14114379 + ... + 14185834.

It is an arithmetic number, because the mean of its divisors is an integer number (31583038824).

Almost surely, 21011110010064 is an apocalyptic number.

1011110010064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1011110010064 is an abundant number, since it is smaller than the sum of its proper divisors (1515533095856).

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

1011110010064 is a wasteful number, since it uses less digits than its factorization.

1011110010064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28300268 (or 28300262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1011110010064 its reverse (4600100111101), we get a palindrome (5611210121165).

The spelling of 1011110010064 in words is "one trillion, eleven billion, one hundred ten million, ten thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 1232 1276 1624 2233 2552 3248 4466 5104 8932 17864 35728 28300213 56600426 113200852 198101491 226401704 311302343 396202982 452803408 622604686 792405964 820706177 1245209372 1584811928 1641412354 2179116401 2490418744 3169623856 3282824708 4358232802 4980837488 5744943239 6565649416 8716465604 9027767947 11489886478 13131298832 17432931208 18055535894 22979772956 34865862416 36111071788 45959545912 63194375629 72222143576 91919091824 126388751258 144444287152 252777502516 505555005032 1011110010064