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10211214031002 = 232567289668389
BaseRepresentation
bin1001010010010111101111…
…0010001111100010011010
31100011011221001200201220100
42110211323302033202122
52314300031242443002
633414544510440230
72102510255110245
oct224457362174232
940134831621810
1010211214031002
113287608129736
12118b002b03076
13590bb482c8aa
142743226b625c
1512a93cb3311c
hex9497bc8f89a

10211214031002 has 12 divisors (see below), whose sum is σ = 22124297067210. Its totient is φ = 3403738010328.

The previous prime is 10211214030973. The next prime is 10211214031061. The reversal of 10211214031002 is 20013041211201.

10211214031002 is a `hidden beast` number, since 1 + 0 + 211 + 2 + 140 + 310 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10050542127081 + 160671903921 = 3170259^2 + 400839^2 .

It is a super-2 number, since 2×102112140310022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 567289668389 = 10211214031002 / (1 + 0 + 2 + 1 + 1 + 2 + 1 + 4 + 0 + 3 + 1 + 0 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283644834177 + ... + 283644834212.

Almost surely, 210211214031002 is an apocalyptic number.

10211214031002 is an abundant number, since it is smaller than the sum of its proper divisors (11913083036208).

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

10211214031002 is a wasteful number, since it uses less digits than its factorization.

10211214031002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567289668397 (or 567289668394 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10211214031002 its reverse (20013041211201), we get a palindrome (30224255242203).

The spelling of 10211214031002 in words is "ten trillion, two hundred eleven billion, two hundred fourteen million, thirty-one thousand, two".

Divisors: 1 2 3 6 9 18 567289668389 1134579336778 1701869005167 3403738010334 5105607015501 10211214031002