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211100100210 = 23351941150117
BaseRepresentation
bin1100010010011010001…
…0111110011001110010
3202011212221002012102000
43010212202332121302
511424313111201320
6240551131434430
721152154150126
oct3044642763162
9664787065360
10211100100210
118158855983a
1234ab4bb5a16
1316ba2bc3acc
14a3083ab586
155757bd7c90
hex31268be672

211100100210 has 64 divisors (see below), whose sum is σ = 592561699200. Its totient is φ = 53330550336.

The previous prime is 211100100209. The next prime is 211100100217. The reversal of 211100100210 is 12001001112.

It is a happy number.

211100100210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211100100192 and 211100100201.

It is not an unprimeable number, because it can be changed into a prime (211100100217) 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 31 ways as a sum of consecutive naturals, for example, 20569929 + ... + 20580188.

It is an arithmetic number, because the mean of its divisors is an integer number (9258776550).

Almost surely, 2211100100210 is an apocalyptic number.

211100100210 is an abundant number, since it is smaller than the sum of its proper divisors (381461598990).

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

211100100210 is a wasteful number, since it uses less digits than its factorization.

211100100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41150152 (or 41150146 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211100100210 its reverse (12001001112), we get a palindrome (223101101322).

The spelling of 211100100210 in words is "two hundred eleven billion, one hundred million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 41150117 82300234 123450351 205750585 246900702 370351053 411501170 617251755 740702106 781852223 1111053159 1234503510 1563704446 1851755265 2222106318 2345556669 3703510530 3909261115 4691113338 5555265795 7036670007 7818522230 11110531590 11727783345 14073340014 21110010021 23455566690 35183350035 42220020042 70366700070 105550050105 211100100210