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20123433432102 = 23711133790555541
BaseRepresentation
bin1001001001101010110100…
…00110011111010000100110
32122020210002200020112120010
410210311122012133100212
510114200242424311402
6110444324440551050
74144604303623260
oct444653206372046
978223080215503
1020123433432102
116459333612550
122310081182486
13b2c8298cb120
144d7d9d594b30
1524d6cb499a6c
hex124d5a19f426

20123433432102 has 128 divisors (see below), whose sum is σ = 55498231692288. Its totient is φ = 4694399193600.

The previous prime is 20123433432101. The next prime is 20123433432133.

It is a happy number.

20123433432102 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 20123433432102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123433432101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45055549 + ... + 45499992.

It is an arithmetic number, because the mean of its divisors is an integer number (433579935096).

Almost surely, 220123433432102 is an apocalyptic number.

20123433432102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20123433432102 is an abundant number, since it is smaller than the sum of its proper divisors (35374798260186).

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

20123433432102 is a wasteful number, since it uses less digits than its factorization.

20123433432102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90555614.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2012343 and 3432102, that added together give a palindrome (5444445).

The spelling of 20123433432102 in words is "twenty trillion, one hundred twenty-three billion, four hundred thirty-three million, four hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 90555541 181111082 271666623 543333246 633888787 996110951 1177222033 1267777574 1901666361 1992221902 2354444066 2988332853 3350555017 3531666099 3803332722 5976665706 6701110034 6972776657 7063332198 8240554231 10051665051 12949442363 13945553314 16481108462 20103330102 20918329971 23453885119 24721662693 25898884726 36856105187 38848327089 41836659942 43557215221 46907770238 49443325386 70361655357 73712210374 77696654178 87114430442 90646096541 110568315561 130671645663 140723310714 181292193082 221136631122 257992736309 261343291326 271938289623 304900506547 479129367431 515985472618 543876579246 609801013094 773978208927 914701519641 958258734862 1437388102293 1547956417854 1829403039282 2874776204586 3353905572017 6707811144034 10061716716051 20123433432102