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11452241020 = 2251125980209
BaseRepresentation
bin10101010101001101…
…10101010001111100
31002120010102010021211
422222212311101330
5141423233203040
65132221134204
7553540304533
oct125246652174
932503363254
1011452241020
114947545200
1222773ba364
13110682a39c
147a8d9331a
154706218ea
hex2aa9b547c

11452241020 has 72 divisors (see below), whose sum is σ = 26883183600. Its totient is φ = 4093816320.

The previous prime is 11452240973. The next prime is 11452241023. The reversal of 11452241020 is 2014225411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11452240982 and 11452241000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452241023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102676 + ... + 182884.

It is an arithmetic number, because the mean of its divisors is an integer number (373377550).

Almost surely, 211452241020 is an apocalyptic number.

11452241020 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 11452241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441591800).

11452241020 is an abundant number, since it is smaller than the sum of its proper divisors (15430942580).

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

11452241020 is a wasteful number, since it uses less digits than its factorization.

11452241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80299 (or 80286 counting only the distinct ones).

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

Adding to 11452241020 its reverse (2014225411), we get a palindrome (13466466431).

The spelling of 11452241020 in words is "eleven billion, four hundred fifty-two million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 121 220 236 242 295 484 590 605 649 1180 1210 1298 2420 2596 3245 6490 7139 12980 14278 28556 35695 71390 80209 142780 160418 320836 401045 802090 882299 1604180 1764598 3529196 4411495 4732331 8822990 9464662 9705289 17645980 18929324 19410578 23661655 38821156 47323310 48526445 52055641 94646620 97052890 104111282 194105780 208222564 260278205 520556410 572612051 1041112820 1145224102 2290448204 2863060255 5726120510 11452241020