Search a number
-
+
20221100233323 = 3114367976473389
BaseRepresentation
bin1001001100100000101110…
…11111110001001001101011
32122121010012020120002210020
410212100113133301021223
510122300303124431243
6111001240055251523
74154632500010053
oct446202737611153
978533166502706
1020221100233323
1164967a1a118a0
122326b99679ba3
13b38ac2c10772
144dc9c67c4563
15250ee5956283
hex1264177f126b

20221100233323 has 128 divisors (see below), whose sum is σ = 30917445672960. Its totient is φ = 11648509931520.

The previous prime is 20221100233273. The next prime is 20221100233349. The reversal of 20221100233323 is 32333200112202.

It is not a de Polignac number, because 20221100233323 - 28 = 20221100233067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20221100233293 and 20221100233302.

It is not an unprimeable number, because it can be changed into a prime (20221100233363) 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 127 ways as a sum of consecutive naturals, for example, 5966684713 + ... + 5966688101.

It is an arithmetic number, because the mean of its divisors is an integer number (241542544320).

Almost surely, 220221100233323 is an apocalyptic number.

20221100233323 is a deficient number, since it is larger than the sum of its proper divisors (10696345439637).

20221100233323 is a wasteful number, since it uses less digits than its factorization.

20221100233323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20221100233323 its reverse (32333200112202), we get a palindrome (52554300345525).

The spelling of 20221100233323 in words is "twenty trillion, two hundred twenty-one billion, one hundred million, two hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 3 11 33 43 67 97 129 201 291 473 647 737 1067 1419 1941 2211 2881 3201 3389 4171 6499 7117 8643 10167 12513 19497 21351 27821 31691 37279 43349 45881 62759 71489 83463 95073 111837 130047 137643 145727 188277 214467 227063 279457 306031 328733 437181 476839 681189 690349 838371 918093 986199 1430517 1602997 1864007 2071047 2192683 2497693 2698637 3074027 3616063 4204853 4808991 5592021 6578049 7493079 8095911 9222081 9763709 10848189 12614559 14135519 20504077 22025111 24119513 29291127 29685007 42406557 46253383 61512231 66075333 72358539 89055021 94285369 107400799 138760149 146909761 155490709 180808679 212690251 242276221 282856107 322202397 440729283 466472127 542426037 638070753 726828663 947079773 1037139059 1616007371 1988895469 2339592761 2841239319 3111417177 4848022113 5966686407 6317119723 7018778283 9145680793 10417877503 14250246817 18951359169 27437042379 31253632509 42750740451 69488316953 100602488723 156752714987 208464950859 301807466169 470258144961 612760613131 1838281839393 6740366744441 20221100233323