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13332103130310 = 2353747614189363
BaseRepresentation
bin1100001000000001111101…
…0001010110110011000110
31202012112111012010112210220
43002000133101112303012
53221413121400132220
644204403355125210
72544132641545116
oct302003721266306
952175435115726
1013332103130310
114280127716a48
1215b3a26443806
1375929a7c4a03
143413c4a35046
15181bea404540
hexc201f456cc6

13332103130310 has 128 divisors (see below), whose sum is σ = 34111209314304. Its totient is φ = 3330040066560.

The previous prime is 13332103130257. The next prime is 13332103130329. The reversal of 13332103130310 is 1303130123331.

It is a super-2 number, since 2×133321031303102 (a number of 27 digits) contains 22 as substring.

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, 1087689 + ... + 5277051.

It is an arithmetic number, because the mean of its divisors is an integer number (266493822768).

Almost surely, 213332103130310 is an apocalyptic number.

13332103130310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332103130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055604657152).

13332103130310 is an abundant number, since it is smaller than the sum of its proper divisors (20779106183994).

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

13332103130310 is a wasteful number, since it uses less digits than its factorization.

13332103130310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189518.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13332103130310 its reverse (1303130123331), we get a palindrome (14635233253641).

The spelling of 13332103130310 in words is "thirteen trillion, three hundred thirty-two billion, one hundred three million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 47 61 74 94 111 122 141 183 185 222 235 282 305 366 370 470 555 610 705 915 1110 1410 1739 1830 2257 2867 3478 4514 5217 5734 6771 8601 8695 10434 11285 13542 14335 17202 17390 22570 26085 28670 33855 43005 52170 67710 86010 106079 212158 318237 530395 636474 1060790 1591185 3182370 4189363 8378726 12568089 20946815 25136178 41893630 62840445 125680890 155006431 196900061 255551143 310012862 393800122 465019293 511102286 590700183 766653429 775032155 930038586 984500305 1181400366 1277755715 1533306858 1550064310 1969000610 2325096465 2555511430 2953500915 3833267145 4650192930 5907001830 7285302257 7666534290 9455392291 12010903721 14570604514 18910784582 21855906771 24021807442 28366176873 36032711163 36426511285 43711813542 47276961455 56732353746 60054518605 72065422326 72853022570 94553922910 109279533855 120109037210 141830884365 180163555815 218559067710 283661768730 360327111630 444403437677 888806875354 1333210313031 2222017188385 2666420626062 4444034376770 6666051565155 13332103130310