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105044120232 = 23317793259001
BaseRepresentation
bin110000111010100011…
…1100001001010101000
3101001010201001012101120
41201311013201022220
53210112243321412
6120131232015240
710406043201252
oct1416507411250
9331121035346
10105044120232
1140604738307
1218437091520
139ba084837c
145126d28cd2
152aebea8b8c
hex18751e12a8

105044120232 has 64 divisors (see below), whose sum is σ = 281577772800. Its totient is φ = 32537856000.

The previous prime is 105044120227. The next prime is 105044120243. The reversal of 105044120232 is 232021440501.

It is a super-2 number, since 2×1050441202322 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597269 + ... + 1661732.

It is an arithmetic number, because the mean of its divisors is an integer number (4399652700).

Almost surely, 2105044120232 is an apocalyptic number.

105044120232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105044120232 is an abundant number, since it is smaller than the sum of its proper divisors (176533652568).

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

105044120232 is a wasteful number, since it uses less digits than its factorization.

105044120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259106 (or 3259102 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 105044120232 its reverse (232021440501), we get a palindrome (337065560733).

The spelling of 105044120232 in words is "one hundred five billion, forty-four million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 136 158 204 237 316 408 474 632 948 1343 1896 2686 4029 5372 8058 10744 16116 32232 3259001 6518002 9777003 13036004 19554006 26072008 39108012 55403017 78216024 110806034 166209051 221612068 257461079 332418102 443224136 514922158 664836204 772383237 1029844316 1329672408 1544766474 2059688632 3089532948 4376838343 6179065896 8753676686 13130515029 17507353372 26261030058 35014706744 52522060116 105044120232