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11022031332 = 223213142916481
BaseRepresentation
bin10100100001111011…
…01101100111100100
31001110010220012112200
422100331231213210
5140033120000312
65021412214500
7540064502064
oct122075554744
931403805480
1011022031332
114746716304
12217730a430
13106866c540
14767ba73a4
154479920dc
hex290f6d9e4

11022031332 has 72 divisors (see below), whose sum is σ = 30027237240. Its totient is φ = 3388815360.

The previous prime is 11022031331. The next prime is 11022031441. The reversal of 11022031332 is 23313022011.

11022031332 is a `hidden beast` number, since 110 + 220 + 3 + 1 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142706916 + 10879324416 = 11946^2 + 104304^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11022031331) 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, 660532 + ... + 677012.

Almost surely, 211022031332 is an apocalyptic number.

11022031332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11022031332 is an abundant number, since it is smaller than the sum of its proper divisors (19005205908).

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

11022031332 is a wasteful number, since it uses less digits than its factorization.

11022031332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17933 (or 17928 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11022031332 its reverse (23313022011), we get a palindrome (34335053343).

The spelling of 11022031332 in words is "eleven billion, twenty-two million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1429 2858 4287 5716 8574 12861 16481 17148 18577 25722 32962 37154 49443 51444 55731 65924 74308 98886 111462 148329 167193 197772 214253 222924 296658 334386 428506 593316 642759 668772 857012 1285518 1928277 2571036 3856554 7713108 23551349 47102698 70654047 94205396 141308094 211962141 282616188 306167537 423924282 612335074 847848564 918502611 1224670148 1837005222 2755507833 3674010444 5511015666 11022031332