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11352423120 = 2435431100041
BaseRepresentation
bin10101001001010100…
…00011101011010000
31002022011120211212120
422210222003223100
5141222210014440
65114253454240
7551216001333
oct124452035320
932264524776
1011352423120
1148a6168575
122249aa1380
1310bbc4b73c
14799a0c61a
154669a5dd0
hex2a4a83ad0

11352423120 has 80 divisors (see below), whose sum is σ = 36010974912. Its totient is φ = 2956907520.

The previous prime is 11352423119. The next prime is 11352423127. The reversal of 11352423120 is 2132425311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352423127) 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, 539701 + ... + 560340.

Almost surely, 211352423120 is an apocalyptic number.

11352423120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11352423120 is an abundant number, since it is smaller than the sum of its proper divisors (24658551792).

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

11352423120 is a wasteful number, since it uses less digits than its factorization.

11352423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100100 (or 1100094 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11352423120 its reverse (2132425311), we get a palindrome (13484848431).

The spelling of 11352423120 in words is "eleven billion, three hundred fifty-two million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 1100041 2200082 3300123 4400164 5500205 6600246 8800328 11000410 13200492 16500615 17600656 22000820 26400984 33001230 44001640 47301763 52801968 66002460 88003280 94603526 132004920 141905289 189207052 236508815 264009840 283810578 378414104 473017630 567621156 709526445 756828208 946035260 1135242312 1419052890 1892070520 2270484624 2838105780 3784141040 5676211560 11352423120