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200122101020 = 22543137676163
BaseRepresentation
bin1011101001100000110…
…1001110110100011100
3201010112212001001121102
42322120031032310130
511234322224213040
6231533531052232
720313132535442
oct2723015166434
9633485031542
10200122101020
1177964788536
12329505a1078
1315b437004ba
1499863c6b92
155314042515
hex2e9834ed1c

200122101020 has 48 divisors (see below), whose sum is σ = 421411673088. Its totient is φ = 79828956480.

The previous prime is 200122101019. The next prime is 200122101029. The reversal of 200122101020 is 20101221002.

It is a happy number.

200122101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200122100992 and 200122101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200122101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32468459 + ... + 32474621.

It is an arithmetic number, because the mean of its divisors is an integer number (8779409856).

Almost surely, 2200122101020 is an apocalyptic number.

200122101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122101020 is an abundant number, since it is smaller than the sum of its proper divisors (221289572068).

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

200122101020 is a wasteful number, since it uses less digits than its factorization.

200122101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200122101020 its reverse (20101221002), we get a palindrome (220223322022).

The spelling of 200122101020 in words is "two hundred billion, one hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 431 862 1724 2155 3767 4310 6163 7534 8620 12326 15068 18835 24652 30815 37670 61630 75340 123260 1623577 2656253 3247154 5312506 6494308 8117885 10625012 13281265 16235770 23216021 26562530 32471540 46432042 53125060 92864084 116080105 232160210 464320420 10006105051 20012210102 40024420204 50030525255 100061050510 200122101020