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10001011101110 = 2573137467214133
BaseRepresentation
bin1001000110001000101010…
…1101101100110110110110
31022102002100122210111210122
42101202022231230312312
52302324032320213420
633134222344251542
72051356243512041
oct221421255546666
938362318714718
1010001011101110
11320645004a277
12115631a470bb2
135771257814c3
142680a1529c58
15125238ab8725
hex9188ab6cdb6

10001011101110 has 64 divisors (see below), whose sum is σ = 18421067500992. Its totient is φ = 3908398934016.

The previous prime is 10001011101083. The next prime is 10001011101121. The reversal of 10001011101110 is 1110111010001.

10001011101110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46597604 + ... + 46811736.

It is an arithmetic number, because the mean of its divisors is an integer number (287829179703).

Almost surely, 210001011101110 is an apocalyptic number.

10001011101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001011101110 is a deficient number, since it is larger than the sum of its proper divisors (8420056399882).

10001011101110 is a wasteful number, since it uses less digits than its factorization.

10001011101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214817.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10001011101110 its reverse (1110111010001), we get a palindrome (11111122111111).

The spelling of 10001011101110 in words is "ten trillion, one billion, eleven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 5 10 73 137 146 274 365 467 685 730 934 1370 2335 4670 10001 20002 34091 50005 63979 68182 100010 127958 170455 214133 319895 340910 428266 639790 1070665 2141330 4670467 9340934 15631709 23352335 29336221 31263418 46704670 58672442 78158545 100000111 146681105 156317090 200000222 293362210 500000555 1000001110 2141544133 4283088266 7300008103 10707720665 13700015207 14600016206 21415441330 27400030414 36500040515 68500076035 73000081030 137000152070 1000101110111 2000202220222 5000505550555 10001011101110