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1010100010212 = 223237758333341
BaseRepresentation
bin11101011001011101010…
…01101111110011100100
310120120020121101002211100
432230232221233303210
5113022141100311322
62052011124440100
7132656135264646
oct16545651576344
93516217332740
101010100010212
1135a421139077
12143920549030
1374337901347
1436c639a0896
151b41d2cbdac
hexeb2ea6fce4

1010100010212 has 36 divisors (see below), whose sum is σ = 2622316696636. Its totient is φ = 327600002880.

The previous prime is 1010100010211. The next prime is 1010100010217. The reversal of 1010100010212 is 2120100010101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 433827726336 + 576272283876 = 658656^2 + 759126^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010100010194 and 1010100010203.

It is not an unprimeable number, because it can be changed into a prime (1010100010211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379165339 + ... + 379168002.

Almost surely, 21010100010212 is an apocalyptic number.

1010100010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010100010212 is an abundant number, since it is smaller than the sum of its proper divisors (1612216686424).

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

1010100010212 is a wasteful number, since it uses less digits than its factorization.

1010100010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758333388 (or 758333383 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010100010212 its reverse (2120100010101), we get a palindrome (3130200020313).

The spelling of 1010100010212 in words is "one trillion, ten billion, one hundred million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 758333341 1516666682 2275000023 3033333364 4550000046 6825000069 9100000092 13650000138 27300000276 28058333617 56116667234 84175000851 112233334468 168350001702 252525002553 336700003404 505050005106 1010100010212