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200012120020 = 225101317312353
BaseRepresentation
bin1011101001000110100…
…1101011111111010100
3201010021012002110001001
42322101221223333110
511234111100320040
6231515001513044
720310325653226
oct2722151537724
9633235073031
10200012120020
117790869a149
123291b7a2784
1315b269a399b
149975958416
15530956a59a
hex2e91a6bfd4

200012120020 has 48 divisors (see below), whose sum is σ = 425523602448. Its totient is φ = 78962585600.

The previous prime is 200012119981. The next prime is 200012120027. The reversal of 200012120020 is 20021210002.

It can be written as a sum of positive squares in 8 ways, for example, as 1563253444 + 198448866576 = 39538^2 + 445476^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200012119979 and 200012120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200012120027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484164 + ... + 796516.

It is an arithmetic number, because the mean of its divisors is an integer number (8865075051).

Almost surely, 2200012120020 is an apocalyptic number.

200012120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200012120020 is an abundant number, since it is smaller than the sum of its proper divisors (225511482428).

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

200012120020 is a wasteful number, since it uses less digits than its factorization.

200012120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312780 (or 312778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200012120020 its reverse (20021210002), we get a palindrome (220033330022).

The spelling of 200012120020 in words is "two hundred billion, twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 317 404 505 634 1010 1268 1585 2020 3170 6340 32017 64034 128068 160085 312353 320170 624706 640340 1249412 1561765 3123530 6247060 31547653 63095306 99015901 126190612 157738265 198031802 315476530 396063604 495079505 630953060 990159010 1980318020 10000606001 20001212002 40002424004 50003030005 100006060010 200012120020