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2011341108 = 2237711632069
BaseRepresentation
bin111011111100010…
…1010000100110100
312012011200201022010
41313320222010310
513104400403413
6531330004220
7100562055150
oct16770520464
95164621263
102011341108
11942393387
12481716670
1326091848a
141511ac060
15bb8a2dc3
hex77e2a134

2011341108 has 96 divisors (see below), whose sum is σ = 5475133440. Its totient is φ = 562826880.

The previous prime is 2011341097. The next prime is 2011341109. The reversal of 2011341108 is 8011431102.

It is a happy number.

2011341108 is digitally balanced in base 4, 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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011341109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971098 + ... + 973166.

It is an arithmetic number, because the mean of its divisors is an integer number (57032640).

Almost surely, 22011341108 is an apocalyptic number.

2011341108 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011341108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737566720).

2011341108 is an abundant number, since it is smaller than the sum of its proper divisors (3463792332).

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

2011341108 is a wasteful number, since it uses less digits than its factorization.

2011341108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 2011341108 is about 44847.9777470512. The cubic root of 2011341108 is about 1262.2980460286.

The spelling of 2011341108 in words is "two billion, eleven million, three hundred forty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 163 213 284 326 426 489 497 652 852 978 994 1141 1491 1956 1988 2069 2282 2982 3423 4138 4564 5964 6207 6846 8276 11573 12414 13692 14483 23146 24828 28966 34719 43449 46292 57932 69438 81011 86898 138876 146899 162022 173796 243033 293798 324044 337247 440697 486066 587596 674494 881394 972132 1011741 1028293 1348988 1762788 2023482 2056586 2360729 3084879 4046964 4113172 4721458 6169758 7082187 9442916 12339516 14164374 23944537 28328748 47889074 71833611 95778148 143667222 167611759 287334444 335223518 502835277 670447036 1005670554 2011341108