Search a number
-
+
123030003120232 = 231331472041139779
BaseRepresentation
bin11011111110010100100111…
…101000011111100001101000
3121010121112221110012201220211
4123332110213220133201220
5112111210421244321412
61113355111515230504
734625424111564055
oct3376244750374150
9533545843181824
10123030003120232
113622380541521a
1211970057148434
1353858aab74c50
14225498098402c
15e3545cddcca7
hex6fe527a1f868

123030003120232 has 128 divisors (see below), whose sum is σ = 261915287961600. Its totient is φ = 53778201235200.

The previous prime is 123030003120197. The next prime is 123030003120247. The reversal of 123030003120232 is 232021300030321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3092818119 + ... + 3092857897.

It is an arithmetic number, because the mean of its divisors is an integer number (2046213187200).

Almost surely, 2123030003120232 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 123030003120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130957643980800).

123030003120232 is an abundant number, since it is smaller than the sum of its proper divisors (138885284841368).

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

123030003120232 is a wasteful number, since it uses less digits than its factorization.

123030003120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60287 (or 60283 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 123030003120232 its reverse (232021300030321), we get a palindrome (355051303150553).

The spelling of 123030003120232 in words is "one hundred twenty-three trillion, thirty billion, three million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 31 47 52 62 94 104 124 188 248 376 403 611 806 1222 1457 1612 2444 2914 3224 4888 5828 11656 18941 20411 37882 39779 40822 75764 79558 81644 151528 159116 163288 265343 318232 517127 530686 632741 959317 1034254 1061372 1233149 1265482 1869613 1918634 2068508 2122744 2466298 2530964 3739226 3837268 4137016 4932596 5061928 7478452 7674536 8225633 9865192 12471121 14956904 16030937 16451266 24304969 24942242 29738827 32061874 32902532 48609938 49884484 57958003 59477654 64123748 65805064 97219876 99768968 115916006 118955308 128247496 194439752 231832012 237910616 386604751 463664024 753454039 773209502 811929169 1506908078 1546419004 1623858338 3013816156 3092838008 3247716676 6027632312 6495433352 10555079197 21110158394 25169804239 38160670943 42220316788 50339608478 76321341886 84440633576 100679216956 152642683772 201358433912 305285367544 327207455107 496088722259 654414910214 992177444518 1182980799233 1308829820428 1984354889036 2365961598466 2617659640856 3968709778072 4731923196932 9463846393864 15378750390029 30757500780058 61515001560116 123030003120232