Search a number
-
+
21311000100 = 22335213607151
BaseRepresentation
bin10011110110001111…
…000000111000100100
32001000012101222022000
4103312033000320210
5322121104000400
613442400405300
71353051340425
oct236617007044
961005358260
1021311000100
11904655a885
124169016830
132018194740
14106246b64c
1584add0600
hex4f63c0e24

21311000100 has 144 divisors (see below), whose sum is σ = 73781111040. Its totient is φ = 5245776000.

The previous prime is 21311000089. The next prime is 21311000107. The reversal of 21311000100 is 100011312.

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

It is not an unprimeable number, because it can be changed into a prime (21311000107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268476 + ... + 338675.

Almost surely, 221311000100 is an apocalyptic number.

21311000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21311000100 is an abundant number, since it is smaller than the sum of its proper divisors (52470110940).

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

21311000100 is a wasteful number, since it uses less digits than its factorization.

21311000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607187 (or 607174 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 21311000100 its reverse (100011312), we get a palindrome (21411011412).

The spelling of 21311000100 in words is "twenty-one billion, three hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3900 5850 7020 8775 11700 17550 35100 607151 1214302 1821453 2428604 3035755 3642906 5464359 6071510 7285812 7892963 9107265 10928718 12143020 15178775 15785926 16393077 18214530 21857436 23678889 27321795 30357550 31571852 32786154 36429060 39464815 45536325 47357778 54643590 60715100 65572308 71036667 78929630 81965385 91072650 94715556 109287180 118394445 136608975 142073334 157859260 163930770 182145300 197324075 213110001 236788890 273217950 284146668 327861540 355183335 394648150 409826925 426220002 473577780 546435900 591972225 710366670 789296300 819653850 852440004 1065550005 1183944450 1420733340 1639307700 1775916675 2131100010 2367888900 3551833350 4262200020 5327750025 7103666700 10655500050 21311000100