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120202202102010 = 23574875692065627
BaseRepresentation
bin11011010101001011000001…
…100011101011100011111010
3120202121012220010201002111120
4123111023001203223203322
5111223343102214231020
61103352043533410110
734214215423533510
oct3325130143534372
9522535803632446
10120202202102010
1135333516470226
1211593baa339936
13520c032a35192
142197b637b84b0
15dd6b060ae740
hex6d52c18eb8fa

120202202102010 has 128 divisors (see below), whose sum is σ = 330955248660480. Its totient is φ = 27370172450304.

The previous prime is 120202202101999. The next prime is 120202202102027. The reversal of 120202202102010 is 10201202202021.

120202202102010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 57158817 + ... + 59224443.

It is an arithmetic number, because the mean of its divisors is an integer number (2585587880160).

Almost surely, 2120202202102010 is an apocalyptic number.

120202202102010 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 120202202102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165477624330240).

120202202102010 is an abundant number, since it is smaller than the sum of its proper divisors (210753046558470).

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

120202202102010 is a wasteful number, since it uses less digits than its factorization.

120202202102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066700.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120202202102010 its reverse (10201202202021), we get a palindrome (130403404304031).

The spelling of 120202202102010 in words is "one hundred twenty trillion, two hundred two billion, two hundred two million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 487 569 974 1138 1461 1707 2435 2845 2922 3409 3414 3983 4870 5690 6818 7305 7966 8535 10227 11949 14610 17045 17070 19915 20454 23898 34090 39830 51135 59745 102270 119490 277103 554206 831309 1385515 1662618 1939721 2065627 2771030 3879442 4131254 4156545 5819163 6196881 8313090 9698605 10328135 11638326 12393762 14459389 19397210 20656270 28918778 29095815 30984405 43378167 58191630 61968810 72296945 86756334 144593890 216890835 433781670 1005960349 1175341763 2011920698 2350683526 3017881047 3526025289 5029801745 5876708815 6035762094 7041722443 7052050578 8227392341 10059603490 11753417630 14083444886 15089405235 16454784682 17630126445 21125167329 24682177023 30178810470 35208612215 35260252890 41136961705 42250334658 49364354046 70417224430 82273923410 105625836645 123410885115 211251673290 246821770230 572391438581 1144782877162 1717174315743 2861957192905 3434348631486 4006740070067 5723914385810 8013480140134 8585871578715 12020220210201 17171743157430 20033700350335 24040440420402 40067400700670 60101101051005 120202202102010