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123031133120 = 2657371484449
BaseRepresentation
bin111001010010100111…
…0100001101111000000
3102202120020210010110002
41302211032201233000
54003431432224440
6132304132055132
711613553243130
oct1624516415700
9382506703402
10123031133120
11481a495a315
121ba16a644a8
13b7a917c56c
145d51b34ac0
153301149115
hex1ca53a1bc0

123031133120 has 112 divisors (see below), whose sum is σ = 343869873600. Its totient is φ = 41042018304.

The previous prime is 123031133119. The next prime is 123031133167. The reversal of 123031133120 is 21331130321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123031133092 and 123031133101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659345 + ... + 825104.

Almost surely, 2123031133120 is an apocalyptic number.

123031133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123031133120 is an abundant number, since it is smaller than the sum of its proper divisors (220838740480).

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

123031133120 is a wasteful number, since it uses less digits than its factorization.

123031133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484510 (or 1484500 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123031133120 its reverse (21331130321), we get a palindrome (144362263441).

The spelling of 123031133120 in words is "one hundred twenty-three billion, thirty-one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 740 1036 1120 1184 1295 1480 2072 2240 2368 2590 2960 4144 5180 5920 8288 10360 11840 16576 20720 41440 82880 1484449 2968898 5937796 7422245 10391143 11875592 14844490 20782286 23751184 29688980 41564572 47502368 51955715 54924613 59377960 83129144 95004736 103911430 109849226 118755920 166258288 207822860 219698452 237511840 274623065 332516576 384472291 415645720 439396904 475023680 549246130 665033152 768944582 831291440 878793808 1098492260 1537889164 1662582880 1757587616 1922361455 2196984520 3075778328 3325165760 3515175232 3844722910 4393969040 6151556656 7689445820 8787938080 12303113312 15378891640 17575876160 24606226624 30757783280 61515566560 123031133120