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1001020000212 = 223250355280539
BaseRepresentation
bin11101001000100010111…
…00010000011111010100
310112200210210201210201200
432210101130100133110
5112400042110001322
62043510124352500
7132215131416411
oct16442134203724
93480723653650
101001020000212
1135659176a181
121420076a5730
137351b6b926b
1436641abd108
151b08b0988ac
hexe9117107d4

1001020000212 has 36 divisors (see below), whose sum is σ = 2535386686560. Its totient is φ = 333009960912.

The previous prime is 1001020000199. The next prime is 1001020000229. The reversal of 1001020000212 is 2120000201001.

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 = 1001020000194 and 1001020000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27622162 + ... + 27658377.

It is an arithmetic number, because the mean of its divisors is an integer number (70427407960).

Almost surely, 21001020000212 is an apocalyptic number.

1001020000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001020000212 is an abundant number, since it is smaller than the sum of its proper divisors (1534366686348).

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

1001020000212 is a wasteful number, since it uses less digits than its factorization.

1001020000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55281052 (or 55281047 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001020000212 its reverse (2120000201001), we get a palindrome (3121020201213).

The spelling of 1001020000212 in words is "one trillion, one billion, twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 503 1006 1509 2012 3018 4527 6036 9054 18108 55280539 110561078 165841617 221122156 331683234 497524851 663366468 995049702 1990099404 27806111117 55612222234 83418333351 111224444468 166836666702 250255000053 333673333404 500510000106 1001020000212