Search a number
-
+
11258021232 = 24322315122511
BaseRepresentation
bin10100111110000011…
…11100010101110000
31002001120221201211100
422133001330111300
5141024023134412
65101042244400
7545661413223
oct123701742560
932046851740
1011258021232
11485794aa87
122222356700
1310a5518033
1478b2775ba
1545d559edc
hex29f07c570

11258021232 has 120 divisors (see below), whose sum is σ = 33095881728. Its totient is φ = 3565584000.

The previous prime is 11258021213. The next prime is 11258021233. The reversal of 11258021232 is 23212085211.

11258021232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11258021196 and 11258021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11258021233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488857 + ... + 511367.

Almost surely, 211258021232 is an apocalyptic number.

11258021232 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 11258021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547940864).

11258021232 is an abundant number, since it is smaller than the sum of its proper divisors (21837860496).

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

11258021232 is a wasteful number, since it uses less digits than its factorization.

11258021232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22699 (or 22690 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11258021232 in words is "eleven billion, two hundred fifty-eight million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 151 184 207 276 302 368 414 453 552 604 828 906 1104 1208 1359 1656 1812 2416 2718 3312 3473 3624 5436 6946 7248 10419 10872 13892 20838 21744 22511 27784 31257 41676 45022 55568 62514 67533 83352 90044 125028 135066 166704 180088 202599 250056 270132 360176 405198 500112 517753 540264 810396 1035506 1080528 1553259 1620792 2071012 3106518 3241584 3399161 4142024 4659777 6213036 6798322 8284048 9319554 10197483 12426072 13596644 18639108 20394966 24852144 27193288 30592449 37278216 40789932 54386576 61184898 74556432 78180703 81579864 122369796 156361406 163159728 234542109 244739592 312722812 469084218 489479184 625445624 703626327 938168436 1250891248 1407252654 1876336872 2814505308 3752673744 5629010616 11258021232