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11452421200 = 24521111092347
BaseRepresentation
bin10101010101001111…
…00001010001010000
31002120010202021110011
422222213201101100
5141423304434300
65132225044304
7553541655043
oct125247412120
932503667404
1011452421200
114947658610
122277486694
1311068913bc
147a8ddcc5a
15470659eba
hex2aa9e1450

11452421200 has 120 divisors (see below), whose sum is σ = 30055620960. Its totient is φ = 4158988800.

The previous prime is 11452421179. The next prime is 11452421221. The reversal of 11452421200 is 212425411.

It is an interprime number because it is at equal distance from previous prime (11452421179) and next prime (11452421221).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4878427 + ... + 4880773.

It is an arithmetic number, because the mean of its divisors is an integer number (250463508).

Almost surely, 211452421200 is an apocalyptic number.

11452421200 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 11452421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027810480).

11452421200 is an abundant number, since it is smaller than the sum of its proper divisors (18603199760).

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

11452421200 is a wasteful number, since it uses less digits than its factorization.

11452421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 11452421200 its reverse (212425411), we get a palindrome (11664846611).

The spelling of 11452421200 in words is "eleven billion, four hundred fifty-two million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1109 2200 2218 2347 4400 4436 4694 5545 8872 9388 11090 11735 12199 17744 18776 22180 23470 24398 25817 27725 37552 44360 46940 48796 51634 55450 58675 60995 88720 93880 97592 103268 110900 117350 121990 129085 187760 195184 206536 221800 234700 243980 258170 304975 413072 443600 469400 487960 516340 609950 645425 938800 975920 1032680 1219900 1290850 2065360 2439800 2581700 2602823 4879600 5163400 5205646 10326800 10411292 13014115 20822584 26028230 28631053 41645168 52056460 57262106 65070575 104112920 114524212 130141150 143155265 208225840 229048424 260282300 286310530 458096848 520564600 572621060 715776325 1041129200 1145242120 1431552650 2290484240 2863105300 5726210600 11452421200