Search a number
-
+
123430225024 = 2717293835107
BaseRepresentation
bin111001011110100000…
…0111100010010000000
3102210121001202002121201
41302331000330102000
54010241114200044
6132411510030544
711626500413311
oct1627500742200
9383531662551
10123430225024
114838a164a37
121bb08648454
13b840a63712
145d8cb40608
1533261cd7d4
hex1cbd03c480

123430225024 has 128 divisors (see below), whose sum is σ = 270094694400. Its totient is φ = 55924506624.

The previous prime is 123430225021. The next prime is 123430225031. The reversal of 123430225024 is 420522034321.

123430225024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 123430224983 and 123430225001.

It is not an unprimeable number, because it can be changed into a prime (123430225021) 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, 24166279 + ... + 24171385.

It is an arithmetic number, because the mean of its divisors is an integer number (2110114800).

Almost surely, 2123430225024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123430225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135047347200).

123430225024 is an abundant number, since it is smaller than the sum of its proper divisors (146664469376).

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

123430225024 is a wasteful number, since it uses less digits than its factorization.

123430225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 123430225024 its reverse (420522034321), we get a palindrome (543952259345).

The spelling of 123430225024 in words is "one hundred twenty-three billion, four hundred thirty million, two hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 383 464 493 544 766 928 986 1088 1532 1856 1972 2176 3064 3712 3944 5107 6128 6511 7888 10214 11107 12256 13022 15776 20428 22214 24512 26044 31552 40856 44428 49024 52088 63104 81712 86819 88856 104176 148103 163424 173638 177712 188819 208352 296206 326848 347276 355424 377638 416704 592412 653696 694552 710848 755276 833408 1184824 1389104 1421696 1510552 1955981 2369648 2517751 2778208 3021104 3911962 4739296 5035502 5556416 6042208 7823924 9478592 10071004 11112832 12084416 15647848 18957184 20142008 24168832 31295696 33251677 40284016 56723449 62591392 66503354 80568032 113446898 125182784 133006708 161136064 226893796 250365568 266013416 322272128 453787592 532026832 907575184 964298633 1064053664 1815150368 1928597266 2128107328 3630300736 3857194532 4256214656 7260601472 7714389064 15428778128 30857556256 61715112512 123430225024