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123103320032 = 25711193125873
BaseRepresentation
bin111001010100110000…
…1111001011111100000
3102202202021121121021102
41302221201321133200
54004103422220112
6132315231213532
711615420645450
oct1625141713740
9382667547242
10123103320032
1148231684420
121ba370772a8
13b7bb105604
145d5b565d60
153307657bc2
hex1ca98797e0

123103320032 has 96 divisors (see below), whose sum is σ = 302330859264. Its totient is φ = 47935641600.

The previous prime is 123103319981. The next prime is 123103320061. The reversal of 123103320032 is 230023301321.

It is a junction number, because it is equal to n+sod(n) for n = 123103319986 and 123103320013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4745048 + ... + 4770920.

It is an arithmetic number, because the mean of its divisors is an integer number (3149279784).

Almost surely, 2123103320032 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 123103320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151165429632).

123103320032 is an abundant number, since it is smaller than the sum of its proper divisors (179227539232).

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

123103320032 is a wasteful number, since it uses less digits than its factorization.

123103320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27832 (or 27824 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 123103320032 its reverse (230023301321), we get a palindrome (353126621353).

The spelling of 123103320032 in words is "one hundred twenty-three billion, one hundred three million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1931 2464 3862 7724 13517 15448 21241 25873 27034 30896 42482 51746 54068 61792 84964 103492 108136 148687 169928 181111 206984 216272 284603 297374 339856 362222 413968 432544 569206 594748 679712 724444 827936 1138412 1189496 1448888 1992221 2276824 2378992 2897776 3984442 4553648 4757984 5795552 7968884 9107296 15937768 31875536 49960763 63751072 99921526 199843052 349725341 399686104 549568393 699450682 799372208 1099136786 1398901364 1598744416 2198273572 2797802728 3846978751 4396547144 5595605456 7693957502 8793094288 11191210912 15387915004 17586188576 30775830008 61551660016 123103320032