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120303031120 = 245194710116673
BaseRepresentation
bin111000000001010011…
…1101001001101010000
3102111112010101012001021
41300002213221031100
53432340033443440
6131133315245224
711456135615026
oct1600247511520
9374463335037
10120303031120
1147024a19968
121b3952a9814
13b462c06a1c
145b736a8716
1531e18b284a
hex1c029e9350

120303031120 has 160 divisors (see below), whose sum is σ = 303685562880. Its totient is φ = 44174131200.

The previous prime is 120303031081. The next prime is 120303031127. The reversal of 120303031120 is 21130303021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120303031094 and 120303031103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120303031127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7207104 + ... + 7223776.

It is an arithmetic number, because the mean of its divisors is an integer number (1898034768).

Almost surely, 2120303031120 is an apocalyptic number.

120303031120 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 120303031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151842781440).

120303031120 is an abundant number, since it is smaller than the sum of its proper divisors (183382531760).

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

120303031120 is a wasteful number, since it uses less digits than its factorization.

120303031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16853 (or 16847 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120303031120 its reverse (21130303021), we get a palindrome (141433334141).

The spelling of 120303031120 in words is "one hundred twenty billion, three hundred three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 101 152 188 190 202 235 304 376 380 404 470 505 752 760 808 893 940 1010 1520 1616 1786 1880 1919 2020 3572 3760 3838 4040 4465 4747 7144 7676 8080 8930 9494 9595 14288 15352 16673 17860 18988 19190 23735 30704 33346 35720 37976 38380 47470 66692 71440 75952 76760 83365 90193 94940 133384 153520 166730 180386 189880 266768 316787 333460 360772 379760 450965 633574 666920 721544 783631 901930 1267148 1333840 1443088 1567262 1583935 1683973 1803860 2534296 3134524 3167870 3367946 3607720 3918155 5068592 6269048 6335740 6735892 7215440 7836310 8419865 12538096 12671480 13471784 14888989 15672620 16839730 25342960 26943568 29777978 31345240 31995487 33679460 59555956 62690480 63990974 67358920 74444945 79146731 119111912 127981948 134717840 148889890 158293462 159977435 238223824 255963896 297779780 316586924 319954870 395733655 511927792 595559560 633173848 639909740 791467310 1191119120 1266347696 1279819480 1503787889 1582934620 2559638960 3007575778 3165869240 6015151556 6331738480 7518939445 12030303112 15037878890 24060606224 30075757780 60151515560 120303031120