Search a number
-
+
10123001321433 = 37111337471938449
BaseRepresentation
bin1001001101001111000111…
…1001011101011111011001
31022211202020100220210022220
42103103301321131133121
52311323401314241213
633310235334134253
72063235260335050
oct223236171353731
938752210823286
1010123001321433
113253160381380
121175aa47b1389
1358579709a720
1426dd54d03397
151284c864de23
hex934f1e5d7d9

10123001321433 has 128 divisors (see below), whose sum is σ = 19008099532800. Its totient is φ = 4622500638720.

The previous prime is 10123001321417. The next prime is 10123001321453. The reversal of 10123001321433 is 33412310032101.

It is not a de Polignac number, because 10123001321433 - 24 = 10123001321417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10123001321453) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4252993 + ... + 6191441.

It is an arithmetic number, because the mean of its divisors is an integer number (148500777600).

Almost surely, 210123001321433 is an apocalyptic number.

10123001321433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10123001321433 is a deficient number, since it is larger than the sum of its proper divisors (8885098211367).

10123001321433 is a wasteful number, since it uses less digits than its factorization.

10123001321433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938567.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10123001321433 its reverse (33412310032101), we get a palindrome (43535311353534).

The spelling of 10123001321433 in words is "ten trillion, one hundred twenty-three billion, one million, three hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 37 39 47 77 91 111 141 143 231 259 273 329 407 429 481 517 611 777 987 1001 1221 1443 1551 1739 1833 2849 3003 3367 3619 4277 5217 5291 6721 8547 10101 10857 12173 12831 15873 19129 20163 22607 36519 37037 47047 57387 67821 111111 133903 141141 158249 248677 401709 474747 746031 1740739 1938449 5222217 5815347 13569143 21322939 25199837 40707429 63968817 71722613 75599511 91107103 149260573 176398859 215167839 273321309 277198207 447781719 502058291 529196577 637749721 788948743 831594621 932393969 1002178133 1184392339 1506174873 1913249163 1940387449 2366846229 2797181907 3006534399 3370962811 3553177017 5522641201 5821162347 6526757783 7015246931 8290746373 10112888433 10256333659 13028315729 16567923603 19580273349 21045740793 23596739677 24872239119 30769000977 37080590921 39084947187 43822516543 70790219031 71794335613 91198210103 111241772763 131467549629 215383006839 259564136447 273594630309 306757615801 482047681973 778692409341 920272847403 1446143045919 3374333773811 10123001321433