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10202032201311 = 346715112449443
BaseRepresentation
bin1001010001110101100010…
…0000010101111001011111
31100010022020011110110110000
42110131120200111321133
52314122230220420221
633410425432145343
72102033603620416
oct224353040257137
940108204413400
1010202032201311
113283726236135
12118927bb38253
135900804b7982
14273ad108c47d
1512a5a19dae26
hex94758815e5f

10202032201311 has 40 divisors (see below), whose sum is σ = 15569971835264. Its totient is φ = 6655471693200.

The previous prime is 10202032201253. The next prime is 10202032201363. The reversal of 10202032201311 is 11310223020201.

10202032201311 is a `hidden beast` number, since 10 + 2 + 0 + 20 + 322 + 0 + 1 + 311 = 666.

10202032201311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10202032201311 - 26 = 10202032201247 is a prime.

It is a super-2 number, since 2×102020322013112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202032201411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5405245 + ... + 7044198.

Almost surely, 210202032201311 is an apocalyptic number.

10202032201311 is a deficient number, since it is larger than the sum of its proper divisors (5367939633953).

10202032201311 is a wasteful number, since it uses less digits than its factorization.

10202032201311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449673 (or 12449664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10202032201311 its reverse (11310223020201), we get a palindrome (21512255221512).

The spelling of 10202032201311 in words is "ten trillion, two hundred two billion, thirty-two million, two hundred one thousand, three hundred eleven".

Divisors: 1 3 9 27 67 81 151 201 453 603 1359 1809 4077 5427 10117 12231 30351 91053 273159 819477 12449443 37348329 112044987 336134961 834112681 1008404883 1879865893 2502338043 5639597679 7507014129 16918793037 22521042387 50756379111 67563127161 125951014831 152269137333 377853044493 1133559133479 3400677400437 10202032201311