Search a number
-
+
2013003211020 = 2235233833380563
BaseRepresentation
bin11101010010110000010…
…101110110000100001100
321010102220122200102010020
4131102300111312010030
5230440112310223040
64140432204542140
7265302044655204
oct35226025660414
97112818612106
102013003211020
1170678991977a
12286172851950
13117a964bb789
146d603813404
1537569865cd0
hex1d4b057610c

2013003211020 has 96 divisors (see below), whose sum is σ = 5883020140032. Its totient is φ = 513326381568.

The previous prime is 2013003210989. The next prime is 2013003211049. The reversal of 2013003211020 is 201123003102.

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 31 ways as a sum of consecutive naturals, for example, 5099259 + ... + 5479821.

It is an arithmetic number, because the mean of its divisors is an integer number (61281459792).

Almost surely, 22013003211020 is an apocalyptic number.

2013003211020 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 2013003211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941510070016).

2013003211020 is an abundant number, since it is smaller than the sum of its proper divisors (3870016929012).

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

2013003211020 is a wasteful number, since it uses less digits than its factorization.

2013003211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384431 (or 384429 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2013003211020 its reverse (201123003102), we get a palindrome (2214126214122).

The spelling of 2013003211020 in words is "two trillion, thirteen billion, three million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3833 7666 11499 15332 19165 22998 38330 45996 57495 76660 88159 114990 176318 229980 264477 352636 380563 440795 528954 761126 881590 1057908 1141689 1322385 1522252 1763180 1902815 2283378 2644770 3805630 4566756 5289540 5708445 7611260 8752949 11416890 17505898 22833780 26258847 35011796 43764745 52517694 87529490 105035388 131294235 175058980 262588470 525176940 1458697979 2917395958 4376093937 5834791916 7293489895 8752187874 14586979790 17504375748 21880469685 29173959580 33550053517 43760939370 67100107034 87521878740 100650160551 134200214068 167750267585 201300321102 335500535170 402600642204 503250802755 671001070340 1006501605510 2013003211020