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222101024134101 = 3761974673827479
BaseRepresentation
bin110010011111111111101100…
…101001011101001111010101
31002010101122120020200011022120
4302133333230221131033111
5213102400344134242401
62104211445114250153
764532161265661630
oct6237775451351725
91063348506604276
10222101024134101
116484a573a64392
1220ab07bb726959
1396c1062853908
143cbba657c2c17
151aa2555ed9836
hexc9ffeca5d3d5

222101024134101 has 64 divisors (see below), whose sum is σ = 348278388756480. Its totient is φ = 123282760181760.

The previous prime is 222101024134097. The next prime is 222101024134141. The reversal of 222101024134101 is 101431420101222.

It is not a de Polignac number, because 222101024134101 - 22 = 222101024134097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101024134141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56114280 + ... + 59941758.

It is an arithmetic number, because the mean of its divisors is an integer number (5441849824320).

Almost surely, 2222101024134101 is an apocalyptic number.

222101024134101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222101024134101 is a deficient number, since it is larger than the sum of its proper divisors (126177364622379).

222101024134101 is a wasteful number, since it uses less digits than its factorization.

222101024134101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828114.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 222101024134101 its reverse (101431420101222), we get a palindrome (323532444235323).

The spelling of 222101024134101 in words is "two hundred twenty-two trillion, one hundred one billion, twenty-four million, one hundred thirty-four thousand, one hundred one".

Divisors: 1 3 7 21 61 97 183 291 427 467 679 1281 1401 2037 3269 5917 9807 17751 28487 41419 45299 85461 124257 135897 199409 317093 598227 951279 2763239 3827479 8289717 11482437 19342673 26792353 58028019 80377059 233476219 371265463 700428657 1113796389 1634333533 1787432693 2598858241 4903000599 5362298079 7796574723 12512028851 22647193243 37536086553 67941579729 109033394273 158530352701 173380971221 327100182819 475591058103 520142913663 763233759911 1213666798547 2289701279733 3641000395641 10576239244481 31728717733443 74033674711367 222101024134101