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1010101112010 = 232569127975807
BaseRepresentation
bin11101011001011101011…
…01111100110011001010
310120120020200110002012200
432230232231330303022
5113022141341041020
62052011204221030
7132656150534124
oct16545655746312
93516220402180
101010101112010
1135a421820951
1214392099a776
1374337bc89b3
1436c63baa214
151b41d448590
hexeb2eb7ccca

1010101112010 has 96 divisors (see below), whose sum is σ = 2631456951552. Its totient is φ = 268828018560.

The previous prime is 1010101111997. The next prime is 1010101112023. The reversal of 1010101112010 is 102111010101.

It is an interprime number because it is at equal distance from previous prime (1010101111997) and next prime (1010101112023).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010101111983 and 1010101112001.

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, 173942527 + ... + 173948333.

It is an arithmetic number, because the mean of its divisors is an integer number (27411009912).

Almost surely, 21010101112010 is an apocalyptic number.

1010101112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010101112010 is an abundant number, since it is smaller than the sum of its proper divisors (1621355839542).

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

1010101112010 is a wasteful number, since it uses less digits than its factorization.

1010101112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9308 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010101112010 its reverse (102111010101), we get a palindrome (1112212122111).

The spelling of 1010101112010 in words is "one trillion, ten billion, one hundred one million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 691 1382 2073 2797 3455 4146 5594 5807 6219 6910 8391 10365 11614 12438 13985 16782 17421 20730 25173 27970 29035 31095 34842 41955 50346 52263 58070 62190 83910 87105 104526 125865 174210 251730 261315 522630 1932727 3865454 4012637 5798181 8025274 9663635 11596362 12037911 16242179 17394543 19327270 20063185 24075822 28990905 32484358 34789086 36113733 40126370 48726537 57981810 60189555 72227466 81210895 86972715 97453074 120379110 146179611 162421790 173945430 180568665 243632685 292359222 361137330 487265370 730898055 1461796110 11223345689 22446691378 33670037067 56116728445 67340074134 101010111201 112233456890 168350185335 202020222402 336700370670 505050556005 1010101112010