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23132102102109 = 32711134139620359
BaseRepresentation
bin1010100001001110111001…
…01110101000110001011101
310000220101222222010212201100
411100213130232220301131
511012444021114231414
6121110424020103313
74605145024433640
oct520473456506135
9100811888125640
1023132102102109
1174092a6647310
1227171a6234b39
13cba46a361060
1459d857895a57
152a1abbc6d609
hex1509dcba8c5d

23132102102109 has 96 divisors (see below), whose sum is σ = 44873169868800. Its totient is φ = 11089618865280.

The previous prime is 23132102102071. The next prime is 23132102102113. The reversal of 23132102102109 is 90120120123132.

23132102102109 is a `hidden beast` number, since 23 + 1 + 3 + 210 + 210 + 210 + 9 = 666.

It is not a de Polignac number, because 23132102102109 - 28 = 23132102101853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132102102129) 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 95 ways as a sum of consecutive naturals, for example, 36978072 + ... + 37598430.

It is an arithmetic number, because the mean of its divisors is an integer number (467428852800).

Almost surely, 223132102102109 is an apocalyptic number.

It is an amenable number.

23132102102109 is a deficient number, since it is larger than the sum of its proper divisors (21741067766691).

23132102102109 is a wasteful number, since it uses less digits than its factorization.

23132102102109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624535 (or 624532 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 23132102102109 in words is "twenty-three trillion, one hundred thirty-two billion, one hundred two million, one hundred two thousand, one hundred nine".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 4139 9009 12417 28973 37251 45529 53807 86919 136587 161421 260757 318703 376649 409761 484263 591877 620359 956109 1129947 1775631 1861077 2868327 3389841 4143139 4342513 5326893 5583231 6823949 8064667 12429417 13027539 20471847 24194001 37288251 39082617 47767643 56452669 61415541 72582003 88711337 143302929 169358007 266134011 429908787 508074021 620979359 798402033 1862938077 2567665901 5588814231 7702997703 17973661307 23108993109 28244324911 33379656713 53920983921 84732974733 100138970139 161762951763 197710274377 233657596991 254198924199 300416910417 367176223843 593130823131 700972790973 1101528671529 1779392469393 2102918372919 2570233566901 3304586014587 7710700700703 23132102102109