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210220110000100 = 225241271189199991
BaseRepresentation
bin101111110011000110101110…
…111110110010111111100100
31000120022211211220122211220201
4233303012232332302333210
5210023221241130000400
62023033441343440244
762164621204055044
oct5763065676627744
91016284756584821
10210220110000100
1160a89936739262
121b6b20955b6084
13903b895b465c5
1439ca9c9991724
151948492ba006a
hexbf31aefb2fe4

210220110000100 has 72 divisors (see below), whose sum is σ = 469028293767936. Its totient is φ = 81734395680000.

The previous prime is 210220110000077. The next prime is 210220110000107. The reversal of 210220110000100 is 1000011022012.

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

It is not an unprimeable number, because it can be changed into a prime (210220110000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93488896 + ... + 95711095.

It is an arithmetic number, because the mean of its divisors is an integer number (6514281857888).

Almost surely, 2210220110000100 is an apocalyptic number.

210220110000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210220110000100 is an abundant number, since it is smaller than the sum of its proper divisors (258808183767836).

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

210220110000100 is a wasteful number, since it uses less digits than its factorization.

210220110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189200317 (or 189200310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210220110000100 its reverse (1000011022012), we get a palindrome (211220121022112).

The spelling of 210220110000100 in words is "two hundred ten trillion, two hundred twenty billion, one hundred ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1355 2050 2710 4100 5420 6775 11111 13550 22222 27100 44444 55555 111110 222220 277775 555550 1111100 189199991 378399982 756799964 945999955 1891999910 3783999820 4729999775 7757199631 9459999550 15514399262 18919999100 31028798524 38785998155 51273197561 77571996310 102546395122 155143992620 193929990775 205092790244 256365987805 387859981550 512731975610 775719963100 1025463951220 1281829939025 2102201100001 2563659878050 4204402200002 5127319756100 8408804400004 10511005500005 21022011000010 42044022000020 52555027500025 105110055000050 210220110000100