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211432420100 = 225211386349757
BaseRepresentation
bin1100010011101001011…
…0101011001100000100
3202012202002101210121002
43010322112223030010
511431003144420400
6241044122312432
721163330626566
oct3047226531404
9665662353532
10211432420100
11817390a8680
1234b88358718
1316c269c97b5
14a33a595336
155776e7ced5
hex313a5ab304

211432420100 has 72 divisors (see below), whose sum is σ = 500657830848. Its totient is φ = 76863068800.

The previous prime is 211432420051. The next prime is 211432420139. The reversal of 211432420100 is 1024234112.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4224422 + ... + 4274178.

It is an arithmetic number, because the mean of its divisors is an integer number (6953580984).

Almost surely, 2211432420100 is an apocalyptic number.

211432420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211432420100 is an abundant number, since it is smaller than the sum of its proper divisors (289225410748).

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

211432420100 is a wasteful number, since it uses less digits than its factorization.

211432420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53645 (or 53638 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211432420100 its reverse (1024234112), we get a palindrome (212456654212).

The spelling of 211432420100 in words is "two hundred eleven billion, four hundred thirty-two million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 3863 7726 15452 19315 38630 42493 49757 77260 84986 96575 99514 169972 193150 199028 212465 248785 386300 424930 497570 547327 849860 995140 1062325 1094654 1243925 2124650 2189308 2487850 2736635 4249300 4975700 5473270 10946540 13683175 27366350 54732700 192211291 384422582 768845164 961056455 1922112910 2114324201 3844225820 4228648402 4805282275 8457296804 9610564550 10571621005 19221129100 21143242010 42286484020 52858105025 105716210050 211432420100