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13310124432 = 24311172951133
BaseRepresentation
bin11000110010101100…
…00110000110010000
31021100121100101012120
430121112012012100
5204224342440212
610040430054240
7650560122333
oct143126060620
937317311176
1013310124432
115710244540
1226b564a380
131341705b97
14903a1661a
1552d7b088c
hex319586190

13310124432 has 160 divisors (see below), whose sum is σ = 41087191680. Its totient is φ = 3665141760.

The previous prime is 13310124409. The next prime is 13310124463. The reversal of 13310124432 is 23442101331.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234738 + ... + 285870.

It is an arithmetic number, because the mean of its divisors is an integer number (256794948).

Almost surely, 213310124432 is an apocalyptic number.

13310124432 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 13310124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20543595840).

13310124432 is an abundant number, since it is smaller than the sum of its proper divisors (27777067248).

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

13310124432 is a wasteful number, since it uses less digits than its factorization.

13310124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51201 (or 51195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13310124432 its reverse (23442101331), we get a palindrome (36752225763).

The spelling of 13310124432 in words is "thirteen billion, three hundred ten million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 29 33 34 44 48 51 58 66 68 87 88 102 116 132 136 174 176 187 204 232 264 272 319 348 374 408 464 493 528 561 638 696 748 816 957 986 1122 1276 1392 1479 1496 1914 1972 2244 2552 2958 2992 3828 3944 4488 5104 5423 5916 7656 7888 8976 10846 11832 15312 16269 21692 23664 32538 43384 51133 65076 86768 102266 130152 153399 204532 260304 306798 409064 562463 613596 818128 869261 1124926 1227192 1482857 1687389 1738522 2249852 2454384 2607783 2965714 3374778 3477044 4448571 4499704 5215566 5931428 6749556 6954088 8897142 8999408 9561871 10431132 11862856 13499112 13908176 16311427 17794284 19123742 20862264 23725712 25208569 26998224 28685613 32622854 35588568 38247484 41724528 48934281 50417138 57371226 65245708 71177136 75625707 76494968 97868562 100834276 114742452 130491416 151251414 152989936 195737124 201668552 229484904 260982832 277294259 302502828 391474248 403337104 458969808 554588518 605005656 782948496 831882777 1109177036 1210011312 1663765554 2218354072 3327531108 4436708144 6655062216 13310124432