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120209413000 = 23533127713999
BaseRepresentation
bin110111111110100001…
…0100001001110001000
3102111021121012220010111
41233331002201032020
53432142102204000
6131120132524104
711453621102635
oct1577502411610
9374247186114
10120209413000
1146a87097216
121b369a80634
13b4496b8ca1
145b6509918c
1531d856dcba
hex1bfd0a1388

120209413000 has 128 divisors (see below), whose sum is σ = 291432960000. Its totient is φ = 46361376000.

The previous prime is 120209412989. The next prime is 120209413001. The reversal of 120209413000 is 314902021.

It is not an unprimeable number, because it can be changed into a prime (120209413001) 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, 8580001 + ... + 8593999.

It is an arithmetic number, because the mean of its divisors is an integer number (2276820000).

Almost surely, 2120209413000 is an apocalyptic number.

120209413000 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 120209413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145716480000).

120209413000 is an abundant number, since it is smaller than the sum of its proper divisors (171223547000).

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

120209413000 is a wasteful number, since it uses less digits than its factorization.

120209413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14314 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 120209413000 in words is "one hundred twenty billion, two hundred nine million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 277 310 500 554 620 775 1000 1108 1240 1385 1550 2216 2770 3100 3875 5540 6200 6925 7750 8587 11080 13850 13999 15500 17174 27700 27998 31000 34348 34625 42935 55400 55996 68696 69250 69995 85870 111992 138500 139990 171740 214675 277000 279980 343480 349975 429350 433969 559960 699950 858700 867938 1073375 1399900 1717400 1735876 1749875 2146750 2169845 2799800 3471752 3499750 3877723 4293500 4339690 6999500 7755446 8587000 8679380 10849225 13999000 15510892 17358760 19388615 21698450 31021784 38777230 43396900 54246125 77554460 86793800 96943075 108492250 120209413 155108920 193886150 216984500 240418826 387772300 433969000 480837652 484715375 601047065 775544600 961675304 969430750 1202094130 1938861500 2404188260 3005235325 3877723000 4808376520 6010470650 12020941300 15026176625 24041882600 30052353250 60104706500 120209413000