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1011110000001 = 329971272334049
BaseRepresentation
bin11101011011010101101…
…10100011010110000001
310120122211222211220100120
432231222312203112001
5113031223130000001
62052255244210453
7133023151123413
oct16555266432601
93518758756316
101011110000001
1135a89a265382
12143b62839a29
1374468c2853a
1436d1bb8c9b3
151b47bcd3236
hexeb6ada3581

1011110000001 has 64 divisors (see below), whose sum is σ = 1426553856000. Its totient is φ = 636148187136.

The previous prime is 1011109999973. The next prime is 1011110000009. The reversal of 1011110000001 is 1000000111101.

It is not a de Polignac number, because 1011110000001 - 26 = 1011109999937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011110000009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249716425 + ... + 249720473.

It is an arithmetic number, because the mean of its divisors is an integer number (22289904000).

Almost surely, 21011110000001 is an apocalyptic number.

It is an amenable number.

1011110000001 is a deficient number, since it is larger than the sum of its proper divisors (415443855999).

1011110000001 is a wasteful number, since it uses less digits than its factorization.

1011110000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1011110000001 its reverse (1000000111101), we get a palindrome (2011110111102).

The spelling of 1011110000001 in words is "one trillion, eleven billion, one hundred ten million, one", and thus it is an aban number.

Divisors: 1 3 29 87 97 127 233 291 381 699 2813 3683 4049 6757 8439 11049 12147 12319 20271 22601 29591 36957 67803 88773 117421 352263 357251 392753 514223 655429 858139 943417 1071753 1178259 1542669 1966287 2574417 2830251 2870327 8610981 11389837 14912467 27359093 34169511 44737401 49879631 82077279 83239483 91511449 119813959 149638893 249718449 274534347 359441877 1446509299 2653832021 3474604811 4339527897 7961496063 10423814433 11621954023 34865862069 337036666667 1011110000001