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201223242322102 = 27113131635096137
BaseRepresentation
bin101101110000001011101111…
…111000010001000010110110
3222101110202100201212110120101
4231300023233320101002312
5202333320200013301402
61551544403101424314
760245620346433550
oct5560135770210266
9871422321773511
10201223242322102
1159130330459000
121a69a4b486b09a
138838368bba7b0
143799384cb84d0
15183e4294a3b87
hexb702efe110b6

201223242322102 has 128 divisors (see below), whose sum is σ = 411116949347328. Its totient is φ = 71924009667840.

The previous prime is 201223242322097. The next prime is 201223242322147.

It is a happy number.

201223242322102 is nontrivially palindromic in base 10.

201223242322102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36937378 + ... + 42033514.

It is an arithmetic number, because the mean of its divisors is an integer number (3211851166776).

Almost surely, 2201223242322102 is an apocalyptic number.

201223242322102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201223242322102 is an abundant number, since it is smaller than the sum of its proper divisors (209893707025226).

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

201223242322102 is a wasteful number, since it uses less digits than its factorization.

201223242322102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096355 (or 5096333 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 201223242322102 in words is "two hundred one trillion, two hundred twenty-three billion, two hundred forty-two million, three hundred twenty-two thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 163 182 242 286 326 847 1001 1141 1331 1573 1694 1793 2002 2119 2282 2662 3146 3586 4238 9317 11011 12551 14833 17303 18634 19723 22022 23309 25102 29666 34606 39446 46618 121121 138061 163163 216953 242242 256399 276122 326326 433906 512798 1518671 1794793 2820389 3037342 3589586 5096137 5640778 10192274 19742723 35672959 39485446 56057507 66249781 71345918 112115014 132499562 392402549 463748467 616632577 728747591 784805098 830670331 927496934 1233265154 1457495182 1661340662 4316428039 5101233137 5814692317 6782958347 8016223501 8632856078 9137373641 10202466274 10798714303 11629384634 13565916694 16032447002 18274747282 21597428606 47480708429 56113564507 63961615487 75591000121 88178458511 94961416858 100511110051 112227129014 118785857333 127923230974 151182000242 176356917022 201022220102 237571714666 617249209577 703577770357 831501001331 1105622210561 1234498419154 1306644430663 1407155540714 1663002002662 2211244421122 2613288861326 7739355473927 9146511014641 14373088737293 15478710947854 18293022029282 28746177474586 100611621161051 201223242322102