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1006061006010 = 235231917633819
BaseRepresentation
bin11101010001111011110…
…10001010110010111010
310120011211010021102200010
432220331322022302322
5112440403104143020
62050102242522350
7132454062311334
oct16507572126272
93504733242603
101006061006010
11358739234475
12142b939663b6
1373b42ba4428
143699d3b6454
151b2838eede0
hexea3de8acba

1006061006010 has 64 divisors (see below), whose sum is σ = 2532718264320. Its totient is φ = 255274873920.

The previous prime is 1006061005979. The next prime is 1006061006011. The reversal of 1006061006010 is 106001606001.

It is a super-2 number, since 2×10060610060102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006061006011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3685120 + ... + 3948699.

It is an arithmetic number, because the mean of its divisors is an integer number (39573722880).

Almost surely, 21006061006010 is an apocalyptic number.

1006061006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006061006010 is an abundant number, since it is smaller than the sum of its proper divisors (1526657258310).

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

1006061006010 is a wasteful number, since it uses less digits than its factorization.

1006061006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634043.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 1006061006010 in words is "one trillion, six billion, sixty-one million, six thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 191 230 345 382 573 690 955 1146 1910 2865 4393 5730 8786 13179 21965 26358 43930 65895 131790 7633819 15267638 22901457 38169095 45802914 76338190 114507285 175577837 229014570 351155674 526733511 877889185 1053467022 1458059429 1755778370 2633667555 2916118858 4374178287 5267335110 7290297145 8748356574 14580594290 21870891435 33535366867 43741782870 67070733734 100606100601 167676834335 201212201202 335353668670 503030503005 1006061006010