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120311133140 = 225115326339233
BaseRepresentation
bin111000000001100011…
…0100011001111010100
3102111112200121210221002
41300003012203033110
53432344122230030
6131134205042432
711456264521052
oct1600306431724
9374480553832
10120311133140
1147029553050
121b397b56418
13b4647b2713
145b747b71d2
1531e2463245
hex1c031a33d4

120311133140 has 96 divisors (see below), whose sum is σ = 281897231616. Its totient is φ = 42759741440.

The previous prime is 120311133101. The next prime is 120311133179. The reversal of 120311133140 is 41331113021.

It is an interprime number because it is at equal distance from previous prime (120311133101) and next prime (120311133179).

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

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, 3046964 + ... + 3086196.

It is an arithmetic number, because the mean of its divisors is an integer number (2936429496).

Almost surely, 2120311133140 is an apocalyptic number.

120311133140 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 120311133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140948615808).

120311133140 is an abundant number, since it is smaller than the sum of its proper divisors (161586098476).

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

120311133140 is a wasteful number, since it uses less digits than its factorization.

120311133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39569 (or 39567 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 120311133140 its reverse (41331113021), we get a palindrome (161642246161).

The spelling of 120311133140 in words is "one hundred twenty billion, three hundred eleven million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 263 265 526 530 583 1052 1060 1166 1315 2332 2630 2893 2915 5260 5786 5830 11572 11660 13939 14465 27878 28930 39233 55756 57860 69695 78466 139390 153329 156932 196165 278780 306658 392330 431563 613316 766645 784660 863126 1533290 1726252 2079349 2157815 3066580 4158698 4315630 8317396 8631260 10318279 10396745 20636558 20793490 22872839 41273116 41586980 45745678 51591395 91491356 103182790 113501069 114364195 206365580 227002138 228728390 454004276 457456780 546868787 567505345 1093737574 1135010690 2187475148 2270021380 2734343935 5468687870 6015556657 10937375740 12031113314 24062226628 30077783285 60155566570 120311133140