Search a number
-
+
20122213104 = 243472218057
BaseRepresentation
bin10010101111011000…
…001001101011110000
31220221100111100010000
4102233120021223300
5312202241304404
613124412510000
71311434663220
oct225730115360
956840440100
1020122213104
118596512594
123a96a7b300
131b88ac7c96
14d8c61a080
157cb85c339
hex4af609af0

20122213104 has 100 divisors (see below), whose sum is σ = 66559484464. Its totient is φ = 5749201152.

The previous prime is 20122213099. The next prime is 20122213109. The reversal of 20122213104 is 40131222102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20122213099) and next prime (20122213109).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122213109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1099957 + ... + 1118100.

Almost surely, 220122213104 is an apocalyptic number.

20122213104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20122213104 is an abundant number, since it is smaller than the sum of its proper divisors (46437271360).

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

20122213104 is a wasteful number, since it uses less digits than its factorization.

20122213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218084 (or 2218069 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20122213104 its reverse (40131222102), we get a palindrome (60253435206).

The spelling of 20122213104 in words is "twenty billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 2218057 4436114 6654171 8872228 13308342 15526399 17744456 19962513 26616684 31052798 35488912 39925026 46579197 53233368 59887539 62105596 79850052 93158394 106466736 119775078 124211192 139737591 159700104 179662617 186316788 239550156 248422384 279475182 319400208 359325234 372633576 419212773 479100312 558950364 718650468 745267152 838425546 958200624 1117900728 1257638319 1437300936 1676851092 2235801456 2515276638 2874601872 3353702184 5030553276 6707404368 10061106552 20122213104