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213103011000 = 23353116457667
BaseRepresentation
bin1100011001110111101…
…1011110010010111000
3202101001111220121111010
43012131323132102320
511442413332323000
6241522001033520
721252614464155
oct3063573362270
9671044817433
10213103011000
1182416104310
12353739258a0
1317131b4a019
14a4583c322c
155823972d50
hex319dede4b8

213103011000 has 128 divisors (see below), whose sum is σ = 725325269760. Its totient is φ = 51661328000.

The previous prime is 213103010867. The next prime is 213103011001. The reversal of 213103011000 is 110301312.

It is a super-2 number, since 2×2131030110002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213103011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3195834 + ... + 3261833.

It is an arithmetic number, because the mean of its divisors is an integer number (5666603670).

Almost surely, 2213103011000 is an apocalyptic number.

213103011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213103011000 is an abundant number, since it is smaller than the sum of its proper divisors (512222258760).

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

213103011000 is a wasteful number, since it uses less digits than its factorization.

213103011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457702 (or 6457688 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 213103011000 its reverse (110301312), we get a palindrome (213213312312).

The spelling of 213103011000 in words is "two hundred thirteen billion, one hundred three million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 6457667 12915334 19373001 25830668 32288335 38746002 51661336 64576670 71034337 77492004 96865005 129153340 142068674 154984008 161441675 193730010 213103011 258306680 284137348 322883350 355171685 387460020 426206022 484325025 568274696 645766700 710343370 774920040 807208375 852412044 968650050 1065515055 1291533400 1420686740 1614416750 1704824088 1775858425 1937300100 2131030110 2421625125 2841373480 3228833500 3551716850 3874600200 4262060220 4843250250 5327575275 6457667000 7103433700 8524120440 8879292125 9686500500 10655150550 14206867400 17758584250 19373001000 21310301100 26637876375 35517168500 42620602200 53275752750 71034337000 106551505500 213103011000