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10133132003412 = 22311177361858301
BaseRepresentation
bin1001001101110100110110…
…1110111100100001010100
31022212201101101120202102120
42103131031232330201110
52312010123243102122
633315032505535540
72064044312611035
oct223351556744124
938781341522376
1010133132003412
113257489933720
121177a514a45b0
1358671cb81bc2
14270636562a8c
151288bcc2275c
hex9374dbbc854

10133132003412 has 96 divisors (see below), whose sum is σ = 27684806776704. Its totient is φ = 2850430464000.

The previous prime is 10133132003411. The next prime is 10133132003431. The reversal of 10133132003412 is 21430023133101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133132003411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30765339 + ... + 31092962.

It is an arithmetic number, because the mean of its divisors is an integer number (288383403924).

Almost surely, 210133132003412 is an apocalyptic number.

10133132003412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133132003412 is an abundant number, since it is smaller than the sum of its proper divisors (17551674773292).

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

10133132003412 is a wasteful number, since it uses less digits than its factorization.

10133132003412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61858409 (or 61858407 counting only the distinct ones).

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

Adding to 10133132003412 its reverse (21430023133101), we get a palindrome (31563155136513).

The spelling of 10133132003412 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty-two million, three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 73 102 132 146 187 204 219 292 374 438 561 748 803 876 1122 1241 1606 2244 2409 2482 3212 3723 4818 4964 7446 9636 13651 14892 27302 40953 54604 81906 163812 61858301 123716602 185574903 247433204 371149806 680441311 742299612 1051591117 1360882622 2041323933 2103182234 2721765244 3154773351 4082647866 4206364468 4515655973 6309546702 8165295732 9031311946 11567502287 12619093404 13546967919 18062623892 23135004574 27093935838 34702506861 46270009148 49672215703 54187871676 69405013722 76766151541 99344431406 138810027444 149016647109 153532303082 198688862812 230298454623 298033294218 307064606164 460596909246 596066588436 844427666951 921193818492 1688855333902 2533283000853 3377710667804 5066566001706 10133132003412