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10131220223322 = 23117110149143597
BaseRepresentation
bin1001001101101101101111…
…0010000101010101011010
31022212112110011020021011120
42103123123302011111122
52311442214334121242
633314115053510110
72063646040006122
oct223333362052532
938775404207146
1010131220223322
113256698771a80
1211775b91a2336
135864a6a85493
142704d46adc82
15128809e891ec
hex936dbc8555a

10131220223322 has 128 divisors (see below), whose sum is σ = 22684375627776. Its totient is φ = 2990685600000.

The previous prime is 10131220223317. The next prime is 10131220223339. The reversal of 10131220223322 is 22332202213101.

It is a junction number, because it is equal to n+sod(n) for n = 10131220223292 and 10131220223301.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 232361628 + ... + 232405224.

It is an arithmetic number, because the mean of its divisors is an integer number (177221684592).

Almost surely, 210131220223322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131220223322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11342187813888).

10131220223322 is an abundant number, since it is smaller than the sum of its proper divisors (12553155404454).

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

10131220223322 is a wasteful number, since it uses less digits than its factorization.

10131220223322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44276.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10131220223322 its reverse (22332202213101), we get a palindrome (32463422436423).

The spelling of 10131220223322 in words is "ten trillion, one hundred thirty-one billion, two hundred twenty million, two hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 101 142 202 213 303 426 491 606 781 982 1111 1473 1562 2222 2343 2946 3333 4686 5401 6666 7171 10802 14342 16203 21513 32406 34861 43026 43597 49591 69722 78881 87194 99182 104583 130791 148773 157762 209166 236643 261582 297546 383471 473286 479567 545501 766942 959134 1091002 1150413 1438701 1636503 2300826 2877402 3095387 3273006 3520961 4403297 6190774 7041922 8806594 9286161 10562883 13209891 18572322 21125766 21406127 26419782 34049257 38730571 42812254 48436267 64218381 68098514 77461142 96872534 102147771 116191713 128436762 145308801 204295542 232383426 235467397 290617602 312634087 470934794 625268174 706402191 937902261 1412804382 1519835017 1875804522 2162018827 3039670034 3438974957 4324037654 4559505051 6486056481 6877949914 9119010102 10316924871 12972112962 16718185187 20633849742 23782207097 33436370374 47564414194 50154555561 71346621291 100309111122 142693242582 153503336717 307006673434 460510010151 921020020302 1688536703887 3377073407774 5065610111661 10131220223322