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120020010200 = 235217208116963
BaseRepresentation
bin110111111000111000…
…0000000010011011000
3102110210101211020022222
41233301300000103120
53431300110311300
6131045245203212
711446131153116
oct1576160002330
9373711736288
10120020010200
114699a192082
121b316560508
13b4193a231c
145b47c74ab6
1531c6b09785
hex1bf1c004d8

120020010200 has 96 divisors (see below), whose sum is σ = 295620431760. Its totient is φ = 45159628800.

The previous prime is 120020010191. The next prime is 120020010239. The reversal of 120020010200 is 2010020021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7066919 + ... + 7083881.

Almost surely, 2120020010200 is an apocalyptic number.

120020010200 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 120020010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147810215880).

120020010200 is an abundant number, since it is smaller than the sum of its proper divisors (175600421560).

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

120020010200 is a wasteful number, since it uses less digits than its factorization.

120020010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19077 (or 19068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120020010200 its reverse (2010020021), we get a palindrome (122030030221).

The spelling of 120020010200 in words is "one hundred twenty billion, twenty million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2081 3400 4162 8324 10405 16648 16963 20810 33926 35377 41620 52025 67852 70754 83240 84815 104050 135704 141508 169630 176885 208100 283016 288371 339260 353770 416200 424075 576742 678520 707540 848150 884425 1153484 1415080 1441855 1696300 1768850 2306968 2883710 3392600 3537700 5767420 7075400 7209275 11534840 14418550 28837100 35300003 57674200 70600006 141200012 176500015 282400024 353000030 600100051 706000060 882500075 1200200102 1412000120 1765000150 2400400204 3000500255 3530000300 4800800408 6001000510 7060000600 12002001020 15002501275 24004002040 30005002550 60010005100 120020010200