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11022374430 = 2335197512861
BaseRepresentation
bin10100100001111110…
…00001011000011110
31001110011112122012000
422100333001120132
5140033211440210
65021423423130
7540100431264
oct122077013036
931404478160
1011022374430
114746930061
122177454aa6
13106875c762
14767c56434
15447a0dac0
hex290fc161e

11022374430 has 128 divisors (see below), whose sum is σ = 30992025600. Its totient is φ = 2779920000.

The previous prime is 11022374413. The next prime is 11022374471. The reversal of 11022374430 is 3447322011.

It is a happy number.

11022374430 is a `hidden beast` number, since 1 + 1 + 0 + 223 + 7 + 4 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11022374394 and 11022374403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3851200 + ... + 3854060.

It is an arithmetic number, because the mean of its divisors is an integer number (242125200).

Almost surely, 211022374430 is an apocalyptic number.

11022374430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022374430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15496012800).

11022374430 is an abundant number, since it is smaller than the sum of its proper divisors (19969651170).

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

11022374430 is a wasteful number, since it uses less digits than its factorization.

11022374430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 11022374430 its reverse (3447322011), we get a palindrome (14469696441).

The spelling of 11022374430 in words is "eleven billion, twenty-two million, three hundred seventy-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 751 855 1026 1502 1710 2253 2565 2861 3755 4506 5130 5722 6759 7510 8583 11265 13518 14269 14305 17166 20277 22530 25749 28538 28610 33795 40554 42807 42915 51498 54359 67590 71345 77247 85614 85830 101385 108718 128421 128745 142690 154494 163077 202770 214035 256842 257490 271795 326154 385263 386235 428070 489231 543590 642105 770526 772470 815385 978462 1284210 1467693 1630770 1926315 2148611 2446155 2935386 3852630 4297222 4892310 6445833 7338465 10743055 12891666 14676930 19337499 21486110 32229165 38674998 40823609 58012497 64458330 81647218 96687495 116024994 122470827 193374990 204118045 244941654 290062485 367412481 408236090 580124970 612354135 734824962 1102237443 1224708270 1837062405 2204474886 3674124810 5511187215 11022374430