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201312020 = 225713532087
BaseRepresentation
bin10111111111111…
…00011100010100
3112000210201011202
423333330130110
5403013441040
631550452032
74663060340
oct1377743424
9460721152
10201312020
11a36a9778
1257504018
1332926550
141ca44620
1512a18015
hexbffc714

201312020 has 96 divisors (see below), whose sum is σ = 530385408. Its totient is φ = 62479872.

The previous prime is 201311993. The next prime is 201312061. The reversal of 201312020 is 20213102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201311992 and 201312010.

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, 95417 + ... + 97503.

It is an arithmetic number, because the mean of its divisors is an integer number (5524848).

Almost surely, 2201312020 is an apocalyptic number.

201312020 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 201312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265192704).

201312020 is an abundant number, since it is smaller than the sum of its proper divisors (329073388).

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

201312020 is a wasteful number, since it uses less digits than its factorization.

201312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 201312020 is about 14188.4467085020. The cubic root of 201312020 is about 586.0795513772.

Adding to 201312020 its reverse (20213102), we get a palindrome (221525122).

The spelling of 201312020 in words is "two hundred one million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1060 1378 1484 1820 1855 2087 2756 3445 3710 4174 4823 6890 7420 8348 9646 10435 13780 14609 19292 20870 24115 27131 29218 41740 48230 54262 58436 73045 96460 108524 110611 135655 146090 189917 221222 271310 292180 379834 442444 542620 553055 759668 774277 949585 1106110 1437943 1548554 1899170 2212220 2875886 3097108 3798340 3871385 5751772 7189715 7742770 10065601 14379430 15485540 20131202 28758860 40262404 50328005 100656010 201312020