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21711010146 = 23731372771627
BaseRepresentation
bin10100001110000100…
…111011100101100010
32002001002002120220220
4110032010323211202
5323431004311041
613550210143510
71366006353450
oct241604734542
962032076826
1021711010146
1192313322a1
12425ab81b96
13208000a787
14109d6359d0
15871096d66
hex50e13b962

21711010146 has 128 divisors (see below), whose sum is σ = 52832845824. Its totient is φ = 5816136960.

The previous prime is 21711010141. The next prime is 21711010163. The reversal of 21711010146 is 64101011712.

It is not an unprimeable number, because it can be changed into a prime (21711010141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13343385 + ... + 13345011.

It is an arithmetic number, because the mean of its divisors is an integer number (412756608).

Almost surely, 221711010146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21711010146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26416422912).

21711010146 is an abundant number, since it is smaller than the sum of its proper divisors (31121835678).

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

21711010146 is a wasteful number, since it uses less digits than its factorization.

21711010146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984.

The product of its (nonzero) digits is 336, while the sum is 24.

Adding to 21711010146 its reverse (64101011712), we get a palindrome (85812021858).

The spelling of 21711010146 in words is "twenty-one billion, seven hundred eleven million, ten thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 74 93 111 186 217 222 259 277 434 518 554 651 777 831 1147 1302 1554 1627 1662 1939 2294 3254 3441 3878 4881 5817 6882 8029 8587 9762 10249 11389 11634 16058 17174 20498 22778 24087 25761 30747 34167 48174 50437 51522 60109 60199 61494 68334 71743 100874 120218 120398 143486 151311 180327 180597 215229 302622 317719 353059 360654 361194 421393 430458 450679 635438 706118 842786 901358 953157 1059177 1264179 1352037 1866169 1906314 2118354 2224033 2528358 2704074 3154753 3732338 4448066 5598507 6309506 6672099 9464259 11197014 13063183 13344198 13971049 16675123 18928518 26126366 27942098 33350246 39189549 41913147 50025369 78379098 83826294 97797343 100050738 116725861 195594686 233451722 293392029 350177583 516928813 586784058 700355166 1033857626 1550786439 3101572878 3618501691 7237003382 10855505073 21711010146