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11022331152 = 243756957653
BaseRepresentation
bin10100100001111101…
…10110110100010000
31001110011110102211010
422100332312310100
5140033204044102
65021422450520
7540100161150
oct122076666420
931404412733
1011022331152
114746900598
122177433a40
131068745b51
14767c44760
15447a00d6c
hex290fb6d10

11022331152 has 80 divisors (see below), whose sum is σ = 32599877760. Its totient is φ = 3143648256.

The previous prime is 11022331087. The next prime is 11022331153. The reversal of 11022331152 is 25113322011.

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

It is not an unprimeable number, because it can be changed into a prime (11022331153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162358 + ... + 220010.

It is an arithmetic number, because the mean of its divisors is an integer number (407498472).

Almost surely, 211022331152 is an apocalyptic number.

11022331152 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 11022331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299938880).

11022331152 is an abundant number, since it is smaller than the sum of its proper divisors (21577546608).

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

11022331152 is a wasteful number, since it uses less digits than its factorization.

11022331152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58240 (or 58234 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 11022331152 its reverse (25113322011), we get a palindrome (36135653163).

The spelling of 11022331152 in words is "eleven billion, twenty-two million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 569 1138 1707 2276 3414 3983 4552 6828 7966 9104 11949 13656 15932 23898 27312 31864 47796 57653 63728 95592 115306 172959 191184 230612 345918 403571 461224 691836 807142 922448 1210713 1383672 1614284 2421426 2767344 3228568 4842852 6457136 9685704 19371408 32804557 65609114 98413671 131218228 196827342 229631899 262436456 393654684 459263798 524872912 688895697 787309368 918527596 1377791394 1574618736 1837055192 2755582788 3674110384 5511165576 11022331152