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201022515115352 = 237107123432718017
BaseRepresentation
bin101101101101010000110011…
…100110101111010101011000
3222100202120020201012211221122
4231231100303212233111120
5202322023102332142402
61551312245113024412
760225253215352340
oct5555206346572530
9870676221184848
10201022515115352
1159063196155697
121a6676156b5108
13882245a024788
14378d7823b9d20
1518390cc285ca2
hexb6d4339af558

201022515115352 has 64 divisors (see below), whose sum is σ = 434823735928320. Its totient is φ = 85340396832768.

The previous prime is 201022515115349. The next prime is 201022515115403. The reversal of 201022515115352 is 253511515220102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72600248 + ... + 75318264.

It is an arithmetic number, because the mean of its divisors is an integer number (6794120873880).

Almost surely, 2201022515115352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201022515115352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217411867964160).

201022515115352 is an abundant number, since it is smaller than the sum of its proper divisors (233801220812968).

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

201022515115352 is a wasteful number, since it uses less digits than its factorization.

201022515115352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730480 (or 2730476 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 201022515115352 in words is "two hundred one trillion, twenty-two billion, five hundred fifteen million, one hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1498 2996 5992 12343 24686 49372 86401 98744 172802 345604 691208 1320701 2641402 2718017 5282804 5436034 9244907 10565608 10872068 18489814 19026119 21744136 36979628 38052238 73959256 76104476 152208952 290827819 581655638 1163311276 2035794733 2326622552 4071589466 8143178932 16286357864 33548483831 67096967662 134193935324 234839386817 268387870648 469678773634 939357547268 1878715094536 3589687769917 7179375539834 14358751079668 25127814389419 28717502159336 50255628778838 100511257557676 201022515115352