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10101020323440 = 24351031392939693
BaseRepresentation
bin1001001011111101001110…
…1110100110111001110000
31022202122111110210101201010
42102333103232212321300
52310443342200322230
633252202241110520
72061526462050564
oct222772356467160
938678443711633
1010101020323440
113244900704232
12117178b328440
135836a316c837
1426cc6b8ab6a4
15127b3da259b0
hex92fd3ba6e70

10101020323440 has 160 divisors (see below), whose sum is σ = 31844646812160. Its totient is φ = 2648262693888.

The previous prime is 10101020323439. The next prime is 10101020323453. The reversal of 10101020323440 is 4432302010101.

It is a super-2 number, since 2×101010203234402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 1966234 + ... + 4905926.

It is an arithmetic number, because the mean of its divisors is an integer number (199029042576).

Almost surely, 210101020323440 is an apocalyptic number.

10101020323440 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 10101020323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15922323406080).

10101020323440 is an abundant number, since it is smaller than the sum of its proper divisors (21743626488720).

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

10101020323440 is a wasteful number, since it uses less digits than its factorization.

10101020323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939951 (or 2939945 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10101020323440 its reverse (4432302010101), we get a palindrome (14533322333541).

The spelling of 10101020323440 in words is "ten trillion, one hundred one billion, twenty million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 139 206 240 278 309 412 417 515 556 618 695 824 834 1030 1112 1236 1390 1545 1648 1668 2060 2085 2224 2472 2780 3090 3336 4120 4170 4944 5560 6180 6672 8240 8340 11120 12360 14317 16680 24720 28634 33360 42951 57268 71585 85902 114536 143170 171804 214755 229072 286340 343608 429510 572680 687216 859020 1145360 1718040 2939693 3436080 5879386 8819079 11758772 14698465 17638158 23517544 29396930 35276316 44095395 47035088 58793860 70552632 88190790 117587720 141105264 176381580 235175440 302788379 352763160 408617327 605576758 705526320 817234654 908365137 1211153516 1225851981 1513941895 1634469308 1816730274 2043086635 2422307032 2451703962 3027883790 3268938616 3633460548 4086173270 4541825685 4844614064 4903407924 6055767580 6129259905 6537877232 7266921096 8172346540 9083651370 9806815848 12111535160 12258519810 14533842192 16344693080 18167302740 19613631696 24223070320 24517039620 32689386160 36334605480 42087584681 49034079240 72669210960 84175169362 98068158480 126262754043 168350338724 210437923405 252525508086 336700677448 420875846810 505051016172 631313770215 673401354896 841751693620 1010102032344 1262627540430 1683503387240 2020204064688 2525255080860 3367006774480 5050510161720 10101020323440