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123034431000 = 23353133154729
BaseRepresentation
bin111001010010101101…
…1000110111000011000
3102202120110222200021210
41302211123012320120
54003433303243000
6132304330503120
711613623260005
oct1624533067030
9382513880253
10123034431000
11481a6802038
121ba17b94aa0
13b7a9a65680
145d523528ac
15330159b350
hex1ca56c6e18

123034431000 has 128 divisors (see below), whose sum is σ = 413395819200. Its totient is φ = 30285388800.

The previous prime is 123034430999. The next prime is 123034431031. The reversal of 123034431000 is 134430321.

It is a super-2 number, since 2×1230344310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1538365 + ... + 1616364.

Almost surely, 2123034431000 is an apocalyptic number.

123034431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123034431000 is an abundant number, since it is smaller than the sum of its proper divisors (290361388200).

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

123034431000 is a wasteful number, since it uses less digits than its factorization.

123034431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154766 (or 3154752 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 123034431000 its reverse (134430321), we get a palindrome (123168861321).

The spelling of 123034431000 in words is "one hundred twenty-three billion, thirty-four million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 3154729 6309458 9464187 12618916 15773645 18928374 25237832 31547290 37856748 41011477 47320935 63094580 75713496 78868225 82022954 94641870 123034431 126189160 157736450 164045908 189283740 205057385 236604675 246068862 315472900 328091816 378567480 394341125 410114770 473209350 492137724 615172155 630945800 788682250 820229540 946418700 984275448 1025286925 1183023375 1230344310 1577364500 1640459080 1892837400 2050573850 2366046750 2460688620 3075860775 3154729000 4101147700 4732093500 4921377240 5126434625 6151721550 8202295400 9464187000 10252869250 12303443100 15379303875 20505738500 24606886200 30758607750 41011477000 61517215500 123034431000