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1141203252 = 223759409563
BaseRepresentation
bin100010000000101…
…0110000100110100
32221112101010120010
41010001112010310
54314122001002
6305123540220
740165032120
oct10401260464
92845333503
101141203252
115361a7992
1227a22a670
131525790c7
14ab7c6580
156a2c446c
hex44056134

1141203252 has 96 divisors (see below), whose sum is σ = 3107865600. Its totient is φ = 319180032.

The previous prime is 1141203227. The next prime is 1141203263. The reversal of 1141203252 is 2523021411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2026723 + ... + 2027285.

It is an arithmetic number, because the mean of its divisors is an integer number (32373600).

Almost surely, 21141203252 is an apocalyptic number.

1141203252 is a gapful number since it is divisible by the number (12) 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 1141203252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553932800).

1141203252 is an abundant number, since it is smaller than the sum of its proper divisors (1966662348).

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

1141203252 is a wasteful number, since it uses less digits than its factorization.

1141203252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1141203252 is about 33781.6999572254. The cubic root of 1141203252 is about 1045.0113326457.

Adding to 1141203252 its reverse (2523021411), we get a palindrome (3664224663).

The spelling of 1141203252 in words is "one billion, one hundred forty-one million, two hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 409 413 563 708 818 826 1126 1227 1239 1636 1652 1689 2252 2454 2478 2863 3378 3941 4908 4956 5726 6756 7882 8589 11452 11823 15764 17178 23646 24131 33217 34356 47292 48262 66434 72393 96524 99651 132868 144786 168917 199302 230267 232519 289572 337834 398604 460534 465038 506751 675668 690801 697557 921068 930076 1013502 1381602 1395114 1611869 2027004 2763204 2790228 3223738 4835607 6447476 9671214 13585753 19342428 27171506 40757259 54343012 81514518 95100271 163029036 190200542 285300813 380401084 570601626 1141203252