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10022013022311 = 341713815270203
BaseRepresentation
bin1001000111010110111010…
…0001101011000001100111
31022111002120022121122120000
42101311232201223001213
52303200040313203221
633152014344312343
72053031553061023
oct221655641530147
938432508548500
1010022013022311
113214348094544
12115a3bba726b3
135790c18b9904
142690d48dd383
15125a67794e26
hex91d6e86b067

10022013022311 has 40 divisors (see below), whose sum is σ = 15863292959184. Its totient is φ = 6283767248640.

The previous prime is 10022013022249. The next prime is 10022013022313. The reversal of 10022013022311 is 11322031022001.

10022013022311 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 130 + 2 + 2 + 311 = 666.

10022013022311 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 10022013022311 - 26 = 10022013022247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022013022313) 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, 733465 + ... + 4536738.

Almost surely, 210022013022311 is an apocalyptic number.

10022013022311 is a deficient number, since it is larger than the sum of its proper divisors (5841279936873).

10022013022311 is a wasteful number, since it uses less digits than its factorization.

10022013022311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271613 (or 5271604 counting only the distinct ones).

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

Adding to 10022013022311 its reverse (11322031022001), we get a palindrome (21344044044312).

The spelling of 10022013022311 in words is "ten trillion, twenty-two billion, thirteen million, twenty-two thousand, three hundred eleven".

Divisors: 1 3 9 17 27 51 81 153 459 1377 1381 4143 12429 23477 37287 70431 111861 211293 633879 1901637 5270203 15810609 47431827 89593451 142295481 268780353 426886443 806341059 2419023177 7257069531 7278150343 21834451029 65503353087 123728555831 196510059261 371185667493 589530177783 1113557002479 3340671007437 10022013022311