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100010202212 = 221371597114277
BaseRepresentation
bin101110100100100010…
…0101001010001100100
3100120010212211200001102
41131021010221101210
53114310102432322
6113535525415232
710140226456364
oct1351104512144
9316125750042
10100010202212
1139461174188
121747126a518
13957a97235b
144baa5589a4
1529050a2792
hex1749129464

100010202212 has 24 divisors (see below), whose sum is σ = 176407291704. Its totient is φ = 49608582912.

The previous prime is 100010202163. The next prime is 100010202301. The reversal of 100010202212 is 212202010001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11745357376 + 88264844836 = 108376^2 + 297094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100010202193 and 100010202202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818018 + ... + 932294.

It is an arithmetic number, because the mean of its divisors is an integer number (7350303821).

Almost surely, 2100010202212 is an apocalyptic number.

It is an amenable number.

100010202212 is a deficient number, since it is larger than the sum of its proper divisors (76397089492).

100010202212 is a wasteful number, since it uses less digits than its factorization.

100010202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116015 (or 116013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100010202212 its reverse (212202010001), we get a palindrome (312212212213).

The spelling of 100010202212 in words is "one hundred billion, ten million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 137 274 548 1597 3194 6388 114277 218789 228554 437578 457108 875156 15655949 31311898 62623796 182500369 365000738 730001476 25002550553 50005101106 100010202212