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201001020 = 223511378231
BaseRepresentation
bin10111111101100…
…00100000111100
3112000012220120020
423332300200330
5402424013040
631540052140
74660323543
oct1376604074
9460186506
10201001020
11a3507050
1257394050
1332847b1c
141c9a315a
15129a5cd0
hexbfb083c

201001020 has 96 divisors (see below), whose sum is σ = 630637056. Its totient is φ = 47404800.

The previous prime is 201001007. The next prime is 201001037. The reversal of 201001020 is 20100102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 20305 + ... + 28535.

It is an arithmetic number, because the mean of its divisors is an integer number (6569136).

Almost surely, 2201001020 is an apocalyptic number.

201001020 is a gapful number since it is divisible by the number (20) 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 201001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315318528).

201001020 is an abundant number, since it is smaller than the sum of its proper divisors (429636036).

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

201001020 is a wasteful number, since it uses less digits than its factorization.

201001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 201001020 is about 14177.4828513386. The cubic root of 201001020 is about 585.7775911293. Note that the first 3 decimals are identical.

Adding to 201001020 its reverse (20100102), we get a palindrome (221101122).

The spelling of 201001020 in words is "two hundred one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 8231 12210 16462 24420 24693 32924 41155 49386 82310 90541 98772 123465 164620 181082 246930 271623 304547 362164 452705 493860 543246 609094 905410 913641 1086492 1218188 1358115 1522735 1810820 1827282 2716230 3045470 3350017 3654564 4568205 5432460 6090940 6700034 9136410 10050051 13400068 16750085 18272820 20100102 33500170 40200204 50250255 67000340 100500510 201001020