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1010100110010 = 235172953122251
BaseRepresentation
bin11101011001011101010…
…10001000001010111010
310120120020121120011201120
432230232222020022322
5113022141112010020
62052011130530110
7132656136161625
oct16545652101272
93516217504646
101010100110010
1135a4211a7052
12143920596936
13743379378b4
1436c639c8dbc
151b41d2eb740
hexeb2ea882ba

1010100110010 has 96 divisors (see below), whose sum is σ = 2577954330432. Its totient is φ = 253247232000.

The previous prime is 1010100109987. The next prime is 1010100110029. The reversal of 1010100110010 is 100110010101.

1010100110010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8201385 + ... + 8323635.

It is an arithmetic number, because the mean of its divisors is an integer number (26853690942).

Almost surely, 21010100110010 is an apocalyptic number.

1010100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010100110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288977165216).

1010100110010 is an abundant number, since it is smaller than the sum of its proper divisors (1567854220422).

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

1010100110010 is a wasteful number, since it uses less digits than its factorization.

1010100110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123248 (or 123231 counting only the distinct ones).

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

Adding to 1010100110010 its reverse (100110010101), we get a palindrome (1110210120111).

Subtracting from 1010100110010 its reverse (100110010101), we obtain a palindrome (909990099909).

The spelling of 1010100110010 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 953 1445 1734 1906 2859 2890 4335 4765 5718 8670 9530 14295 16201 28590 32402 48603 81005 97206 122251 162010 243015 244502 275417 366753 486030 550834 611255 733506 826251 1222510 1377085 1652502 1833765 2078267 2754170 3667530 4131255 4156534 6234801 8262510 10391335 12469602 20782670 31174005 35330539 62348010 70661078 105991617 116505203 176652695 211983234 233010406 349515609 353305390 529958085 582526015 699031218 1059916170 1165052030 1747578045 1980588451 3495156090 3961176902 5941765353 9902942255 11883530706 19805884510 29708826765 33670003667 59417653530 67340007334 101010011001 168350018335 202020022002 336700036670 505050055005 1010100110010