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122033132213010 = 2356792965539973
BaseRepresentation
bin11011101111110100001101…
…011111110001001100010010
3121000002020211210201200202220
4123233310031133301030102
5111443342323321304020
61111313125204121510
734463413530642354
oct3357641537611422
9530066753650686
10122033132213010
1135979a62812017
121182aa09096296
1353128a0c4c4c5
14221c613d490d4
15e1956621a240
hex6efd0d7f1312

122033132213010 has 128 divisors (see below), whose sum is σ = 297646074074880. Its totient is φ = 32013861175296.

The previous prime is 122033132212987. The next prime is 122033132213081. The reversal of 122033132213010 is 10312231330221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12236346384 + ... + 12236356356.

It is an arithmetic number, because the mean of its divisors is an integer number (2325359953710).

Almost surely, 2122033132213010 is an apocalyptic number.

122033132213010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122033132213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148823037037440).

122033132213010 is an abundant number, since it is smaller than the sum of its proper divisors (175612941861870).

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

122033132213010 is a wasteful number, since it uses less digits than its factorization.

122033132213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17532.

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

Adding to 122033132213010 its reverse (10312231330221), we get a palindrome (132345363543231).

The spelling of 122033132213010 in words is "one hundred twenty-two trillion, thirty-three billion, one hundred thirty-two million, two hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 929 1005 1858 2010 2787 4645 5574 6553 9290 9973 13106 13935 19659 19946 27870 29919 32765 39318 49865 59838 62243 65530 98295 99730 124486 149595 186729 196590 299190 311215 373458 439051 622430 668191 878102 933645 1317153 1336382 1867290 2004573 2195255 2634306 3340955 4009146 4390510 6087737 6585765 6681910 9264917 10022865 12175474 13171530 18263211 18529834 20045730 27794751 30438685 36526422 46324585 55589502 60877370 65353069 91316055 92649170 130706138 138973755 182632110 196059207 277947510 326765345 392118414 407878379 620749439 653530690 815756758 980296035 1223635137 1241498878 1862248317 1960592070 2039391895 2447270274 3103747195 3724496634 4078783790 4378655623 6118175685 6207494390 8757311246 9311241585 12236351370 13135966869 18622483170 21893278115 26271933738 43786556230 60713001101 65679834345 121426002202 131359668690 182139003303 303565005505 364278006606 607130011010 910695016515 1821390033030 4067771073767 8135542147534 12203313221301 20338855368835 24406626442602 40677710737670 61016566106505 122033132213010