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13023210110100 = 22352672572521093
BaseRepresentation
bin1011110110000011001111…
…0011111111110010010100
31201010000011220102021201220
42331200303303333302110
53201333013242010400
643410440301450340
72512616200314021
oct275406363776224
951100156367656
1013023210110100
114171126657a73
121563b9a8709b0
13736111431588
143304807a8548
15178b6c14b7a0
hexbd833cffc94

13023210110100 has 144 divisors (see below), whose sum is σ = 38391703482048. Its totient is φ = 3407709634560.

The previous prime is 13023210110087. The next prime is 13023210110129. The reversal of 13023210110100 is 101101232031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13023210110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3905154 + ... + 6426246.

Almost surely, 213023210110100 is an apocalyptic number.

13023210110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023210110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195851741024).

13023210110100 is an abundant number, since it is smaller than the sum of its proper divisors (25368493371948).

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

13023210110100 is a wasteful number, since it uses less digits than its factorization.

13023210110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521434 (or 2521427 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13023210110100 its reverse (101101232031), we get a palindrome (13124311342131).

The spelling of 13023210110100 in words is "thirteen trillion, twenty-three billion, two hundred ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 257 268 300 335 402 514 670 771 804 1005 1028 1285 1340 1542 1675 2010 2570 3084 3350 3855 4020 5025 5140 6425 6700 7710 10050 12850 15420 17219 19275 20100 25700 34438 38550 51657 68876 77100 86095 103314 172190 206628 258285 344380 430475 516570 860950 1033140 1291425 1721900 2521093 2582850 5042186 5165700 7563279 10084372 12605465 15126558 25210930 30253116 37816395 50421860 63027325 75632790 126054650 151265580 168913231 189081975 252109300 337826462 378163950 506739693 647920901 675652924 756327900 844566155 1013479386 1295841802 1689132310 1943762703 2026958772 2533698465 2591683604 3239604505 3378264620 3887525406 4222830775 5067396930 6479209010 7775050812 8445661550 9718813515 10134793860 12668492325 12958418020 16198022525 16891323100 19437627030 25336984650 32396045050 38875254060 43410700367 48594067575 50673969300 64792090100 86821400734 97188135150 130232101101 173642801468 194376270300 217053501835 260464202202 434107003670 520928404404 651160505505 868214007340 1085267509175 1302321011010 2170535018350 2604642022020 3255802527525 4341070036700 6511605055050 13023210110100