Search a number
-
+
12022453300 = 225211131944249
BaseRepresentation
bin10110011001001100…
…00001010000110100
31011000212100220111011
423030212001100310
5144110222001200
65304550522004
7603633111154
oct131446012064
934025326434
1012022453300
11510a3a8120
1223b6366304
1311979c67c0
148209c4764
154a57085ba
hex2cc981434

12022453300 has 144 divisors (see below), whose sum is σ = 32263560000. Its totient is φ = 3823027200.

The previous prime is 12022453297. The next prime is 12022453309. The reversal of 12022453300 is 335422021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022453309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249576 + ... + 293824.

It is an arithmetic number, because the mean of its divisors is an integer number (224052500).

Almost surely, 212022453300 is an apocalyptic number.

12022453300 is a gapful number since it is divisible by the number (10) 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 12022453300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16131780000).

12022453300 is an abundant number, since it is smaller than the sum of its proper divisors (20241106700).

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

12022453300 is a wasteful number, since it uses less digits than its factorization.

12022453300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44306 (or 44299 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 12022453300 its reverse (335422021), we get a palindrome (12357875321).

The spelling of 12022453300 in words is "twelve billion, twenty-two million, four hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 19 20 22 25 26 38 44 50 52 55 65 76 95 100 110 130 143 190 209 220 247 260 275 286 325 380 418 475 494 550 572 650 715 836 950 988 1045 1100 1235 1300 1430 1900 2090 2470 2717 2860 3575 4180 4940 5225 5434 6175 7150 10450 10868 12350 13585 14300 20900 24700 27170 44249 54340 67925 88498 135850 176996 221245 271700 442490 486739 575237 840731 884980 973478 1106225 1150474 1681462 1946956 2212450 2300948 2433695 2876185 3362924 4203655 4424900 4867390 5752370 6327607 8407310 9248041 9734780 10929503 11504740 12168475 12655214 14380925 16814620 18496082 21018275 21859006 24336950 25310428 28761850 31638035 36992164 42036550 43718012 46240205 48673900 54647515 57523700 63276070 84073100 92480410 109295030 120224533 126552140 158190175 184960820 218590060 231201025 240449066 273237575 316380350 462402050 480898132 546475150 601122665 632760700 924804100 1092950300 1202245330 2404490660 3005613325 6011226650 12022453300