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10033202013132 = 22323691157133487
BaseRepresentation
bin1001001000000000100101…
…1100010010001111001100
31022112011110002200021110110
42102000021130102033030
52303340444203410012
633201104523240020
72053606045656354
oct222001134221714
938464402607413
1010033202013132
113219069a759a1
121160603079010
1357a185a1553c
14269876927b64
15125ebec1673c
hex920097123cc

10033202013132 has 96 divisors (see below), whose sum is σ = 24480321675264. Its totient is φ = 3192233774400.

The previous prime is 10033202012989. The next prime is 10033202013227. The reversal of 10033202013132 is 23131020233001.

It is a junction number, because it is equal to n+sod(n) for n = 10033202013099 and 10033202013108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299598093 + ... + 299631579.

It is an arithmetic number, because the mean of its divisors is an integer number (255003350784).

Almost surely, 210033202013132 is an apocalyptic number.

10033202013132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10033202013132 is an abundant number, since it is smaller than the sum of its proper divisors (14447119662132).

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

10033202013132 is a wasteful number, since it uses less digits than its factorization.

10033202013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35779 (or 35777 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10033202013132 its reverse (23131020233001), we get a palindrome (33164222246133).

The spelling of 10033202013132 in words is "ten trillion, thirty-three billion, two hundred two million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 691 1382 1571 2073 2764 3142 4146 4713 6284 8292 9426 15893 18852 31786 33487 36133 47679 63572 66974 72266 95358 100461 108399 133948 144532 190716 200922 216798 401844 433596 770201 1085561 1540402 2171122 2310603 3080804 3256683 4342244 4621206 6513366 9242412 13026732 23139517 24967903 46279034 49935806 52608077 69418551 74903709 92558068 99871612 105216154 138837102 149807418 157824231 210432308 277674204 299614836 315648462 532208891 631296924 1064417782 1209985771 1596626673 2128835564 2419971542 3193253346 3629957313 4839943084 6386506692 7259914626 14519829252 36352181207 72704362414 109056543621 145408724828 218113087242 436226174484 836100167761 1672200335522 2508300503283 3344400671044 5016601006566 10033202013132