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211212010210100 = 225223280132785187
BaseRepresentation
bin110000000001100010100000…
…110101110100001100110100
31000200211200010010220022100112
4300001202200311310030310
5210140444144103210400
62025113242531402152
762326364336535014
oct6001424065641464
91020750103808315
10211212010210100
1161331568529029
121b832376a53358
1390b128ccccca3
143a22a04395c44
1519641982a8835
hexc018a0d74334

211212010210100 has 72 divisors (see below), whose sum is σ = 478428216009408. Its totient is φ = 80782698304000.

The previous prime is 211212010210099. The next prime is 211212010210139. The reversal of 211212010210100 is 1012010212112.

It is a super-2 number, since 2×2112120102101002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 9950294 + ... + 22834893.

It is an arithmetic number, because the mean of its divisors is an integer number (6644836333464).

Almost surely, 2211212010210100 is an apocalyptic number.

211212010210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212010210100 is an abundant number, since it is smaller than the sum of its proper divisors (267216205799308).

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

211212010210100 is a wasteful number, since it uses less digits than its factorization.

211212010210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32788025 (or 32788018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211212010210100 its reverse (1012010212112), we get a palindrome (212224020422212).

The spelling of 211212010210100 in words is "two hundred eleven trillion, two hundred twelve billion, ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 2801 5602 11204 14005 28010 56020 64423 70025 128846 140050 257692 280100 322115 644230 1288460 1610575 3221150 6442300 32785187 65570374 131140748 163925935 327851870 655703740 754059301 819629675 1508118602 1639259350 3016237204 3278518700 3770296505 7540593010 15081186020 18851482525 37702965050 75405930100 91831308787 183662617574 367325235148 459156543935 918313087870 1836626175740 2112120102101 2295782719675 4224240204202 4591565439350 8448480408404 9183130878700 10560600510505 21121201021010 42242402042020 52803002552525 105606005105050 211212010210100