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123031021220 = 225314314593163
BaseRepresentation
bin111001010010100111…
…0000110011010100100
3102202120020120102221122
41302211032012122210
54003431420134340
6132304125433112
711613552265652
oct1624516063244
9382506512848
10123031021220
11481a4893238
121ba16a0b798
13b7a9140653
145d51b05dd2
153301125db5
hex1ca53866a4

123031021220 has 96 divisors (see below), whose sum is σ = 273175203840. Its totient is φ = 46470775680.

The previous prime is 123031021151. The next prime is 123031021237. The reversal of 123031021220 is 22120130321.

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 31 ways as a sum of consecutive naturals, for example, 38895359 + ... + 38898521.

It is an arithmetic number, because the mean of its divisors is an integer number (2845575040).

Almost surely, 2123031021220 is an apocalyptic number.

123031021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123031021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136587601920).

123031021220 is an abundant number, since it is smaller than the sum of its proper divisors (150144182620).

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

123031021220 is a wasteful number, since it uses less digits than its factorization.

123031021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 123031021220 its reverse (22120130321), we get a palindrome (145151151541).

The spelling of 123031021220 in words is "one hundred twenty-three billion, thirty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 310 430 620 860 1333 1459 2666 2918 3163 5332 5836 6326 6665 7295 12652 13330 14590 15815 26660 29180 31630 45229 62737 63260 90458 98053 125474 136009 180916 196106 226145 250948 272018 313685 392212 452290 490265 544036 627370 680045 904580 980530 1254740 1360090 1944847 1961060 2720180 3889694 4216279 4614817 7779388 8432558 9229634 9724235 16865116 18459268 19448470 21081395 23074085 38896940 42162790 46148170 84325580 92296340 143059327 198437131 286118654 396874262 572237308 715296635 793748524 992185655 1430593270 1984371310 2861186540 3968742620 6151551061 12303102122 24606204244 30757755305 61515510610 123031021220