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211021102100 = 225239718312903
BaseRepresentation
bin1100010010000111010…
…1100111110000010100
3202011200102102200101002
43010201311213300110
511424132400231400
6240535230322432
721150204526004
oct3044165476024
9664612380332
10211021102100
1181547a02346
1234a92659418
1316b8c724773
14a2dbac6004
155750cd0ed5
hex3121d67c14

211021102100 has 72 divisors (see below), whose sum is σ = 459478174848. Its totient is φ = 84120854400.

The previous prime is 211021102099. The next prime is 211021102133. The reversal of 211021102100 is 1201120112.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 72689249 + ... + 72692151.

Almost surely, 2211021102100 is an apocalyptic number.

211021102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021102100 is an abundant number, since it is smaller than the sum of its proper divisors (248457072748).

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

211021102100 is a wasteful number, since it uses less digits than its factorization.

211021102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211021102100 its reverse (1201120112), we get a palindrome (212222222212).

The spelling of 211021102100 in words is "two hundred eleven billion, twenty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1831 1985 2903 3662 3970 5806 7324 7940 9155 9925 11612 14515 18310 19850 29030 36620 39700 45775 58060 72575 91550 145150 183100 290300 726907 1152491 1453814 2304982 2907628 3634535 4609964 5315393 5762455 7269070 10630786 11524910 14538140 18172675 21261572 23049820 26576965 28812275 36345350 53153930 57624550 72690700 106307860 115249100 132884825 265769650 531539300 2110211021 4220422042 8440844084 10551055105 21102110210 42204220420 52755275525 105510551050 211021102100