Search a number
-
+
10033520140413 = 3271122694892999
BaseRepresentation
bin1001001000000001110001…
…1001110110000001111101
31022112012021021021211001100
42102000130121312001331
52303342122123443123
633201200250003313
72053616661005220
oct222003431660175
938465237254040
1010033520140413
113219212600700
121160691716539
1357a2068bc233
142698a6c995b7
15125edcb06643
hex9201c67607d

10033520140413 has 72 divisors (see below), whose sum is σ = 18273593520000. Its totient is φ = 5192840917440.

The previous prime is 10033520140379. The next prime is 10033520140421. The reversal of 10033520140413 is 31404102533001.

It is a happy number.

10033520140413 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 5 + 201 + 40 + 413 = 666.

It is not a de Polignac number, because 10033520140413 - 26 = 10033520140349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033520140313) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 395913 + ... + 4497086.

It is an arithmetic number, because the mean of its divisors is an integer number (253799910000).

Almost surely, 210033520140413 is an apocalyptic number.

It is an amenable number.

10033520140413 is a deficient number, since it is larger than the sum of its proper divisors (8240073379587).

10033520140413 is a wasteful number, since it uses less digits than its factorization.

10033520140413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893303 (or 4893289 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10033520140413 its reverse (31404102533001), we get a palindrome (41437622673414).

The spelling of 10033520140413 in words is "ten trillion, thirty-three billion, five hundred twenty million, one hundred forty thousand, four hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 269 363 693 807 847 1089 1883 2421 2541 2959 5649 7623 8877 16947 20713 26631 32549 62139 97647 186417 227843 292941 683529 2050587 4892999 14678997 34250993 44036991 53822989 102752979 161468967 308258937 376760923 484406901 592052879 1130282769 1316216731 1776158637 3390848307 3948650193 4144370153 5328475911 9213517117 11845950579 12433110459 14478384041 27640551351 37299331377 43435152123 82921654053 101348688287 130305456369 159262224451 304046064861 477786673353 912138194583 1114835571157 1433360020059 3344506713471 10033520140413