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211102220100 = 223522924264623
BaseRepresentation
bin1100010010011010101…
…1000011111101000100
3202011220002001220100110
43010212223003331010
511424314132020400
6240551245113020
721152211156432
oct3044653037504
9664802056313
10211102220100
1181589777512
1234ab5858770
1316ba3486995
14a30879dd52
155757ea5e50
hex3126ac3f44

211102220100 has 72 divisors (see below), whose sum is σ = 631850808960. Its totient is φ = 54352753280.

The previous prime is 211102220089. The next prime is 211102220123. The reversal of 211102220100 is 1022201112.

It is a super-2 number, since 2×2111022201002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12123612 + ... + 12141011.

It is an arithmetic number, because the mean of its divisors is an integer number (8775705680).

Almost surely, 2211102220100 is an apocalyptic number.

211102220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102220100 is an abundant number, since it is smaller than the sum of its proper divisors (420748588860).

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

211102220100 is a wasteful number, since it uses less digits than its factorization.

211102220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24264669 (or 24264662 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211102220100 its reverse (1022201112), we get a palindrome (212124421212).

The spelling of 211102220100 in words is "two hundred eleven billion, one hundred two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 24264623 48529246 72793869 97058492 121323115 145587738 242646230 291175476 363969345 485292460 606615575 703674067 727938690 1213231150 1407348134 1455877380 1819846725 2111022201 2426462300 2814696268 3518370335 3639693450 4222044402 7036740670 7279386900 8444088804 10555111005 14073481340 17591851675 21110222010 35183703350 42220444020 52775555025 70367406700 105551110050 211102220100