Search a number
-
+
12320132322102 = 231117293710233467
BaseRepresentation
bin1011001101001000000100…
…0111000101001100110110
31121121210102012112001120220
42303102001013011030312
53103323112333301402
642111442440435210
72411046235603443
oct263220107051466
947553365461526
1012320132322102
113a1aa36568730
12146b883478b06
136b4a25445807
1430842480c9ca
1516571cc86dbc
hexb34811c5336

12320132322102 has 128 divisors (see below), whose sum is σ = 30238669923840. Its totient is φ = 3300906792960.

The previous prime is 12320132322067. The next prime is 12320132322143. The reversal of 12320132322102 is 20122323102321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3912828 + ... + 6320639.

It is an arithmetic number, because the mean of its divisors is an integer number (236239608780).

Almost surely, 212320132322102 is an apocalyptic number.

12320132322102 is an abundant number, since it is smaller than the sum of its proper divisors (17918537601738).

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

12320132322102 is a wasteful number, since it uses less digits than its factorization.

12320132322102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233566.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12320132322102 its reverse (20122323102321), we get a palindrome (32442455424423).

The spelling of 12320132322102 in words is "twelve trillion, three hundred twenty billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 29 33 34 37 51 58 66 74 87 102 111 174 187 222 319 374 407 493 561 629 638 814 957 986 1073 1122 1221 1258 1479 1887 1914 2146 2442 2958 3219 3774 5423 6438 6919 10846 11803 13838 16269 18241 20757 23606 32538 35409 36482 41514 54723 70818 109446 200651 401302 601953 1203906 10233467 20466934 30700401 61400802 112568137 173968939 225136274 296770543 337704411 347937878 378638279 521906817 593541086 675408822 757276558 890311629 1043813634 1135914837 1780623258 1913658329 2271829674 3264475973 3827316658 4165021069 5045099231 5740974987 6436850743 6528951946 8330042138 9793427919 10090198462 10980510091 11481949974 12495063207 12873701486 15135297693 19310552229 19586855838 21961020182 24990126414 30270595386 32941530273 38621104458 55496091541 65883060546 70805358173 110992183082 120785611001 141610716346 166488274623 186668671547 212416074519 241571222002 332976549246 362356833003 373337343094 424832149038 560006014641 724713666006 1120012029282 2053355387017 4106710774034 6160066161051 12320132322102