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20100122220 = 2235734589069
BaseRepresentation
bin10010101110000011…
…111000011001101100
31220212210221000010010
4102232003320121230
5312131112402340
613122303213220
71311046135263
oct225603703154
956783830103
1020100122220
118584aa4362
123a8b5a7210
131b84361c59
14d897095da
157c9946b80
hex4ae0f866c

20100122220 has 48 divisors (see below), whose sum is σ = 57051318240. Its totient is φ = 5286606336.

The previous prime is 20100122197. The next prime is 20100122243. The reversal of 20100122220 is 2222100102.

It is an interprime number because it is at equal distance from previous prime (20100122197) and next prime (20100122243).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20100122196 and 20100122205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2290155 + ... + 2298914.

It is an arithmetic number, because the mean of its divisors is an integer number (1188569130).

Almost surely, 220100122220 is an apocalyptic number.

20100122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100122220 is an abundant number, since it is smaller than the sum of its proper divisors (36951196020).

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

20100122220 is a wasteful number, since it uses less digits than its factorization.

20100122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589154 (or 4589152 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20100122220 its reverse (2222100102), we get a palindrome (22322222322).

The spelling of 20100122220 in words is "twenty billion, one hundred million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 4589069 9178138 13767207 18356276 22945345 27534414 45890690 55068828 68836035 91781380 137672070 275344140 335002037 670004074 1005006111 1340008148 1675010185 2010012222 3350020370 4020024444 5025030555 6700040740 10050061110 20100122220