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12100200640 = 2651123149459
BaseRepresentation
bin10110100010011101…
…00110100011000000
31011020021122212210021
423101032212203000
5144240122410030
65320405143224
7605566002613
oct132116464300
934207585707
1012100200640
11514a27a920
1224183bab14
1311aab48748
1482b06217a
154ac46497a
hex2d13a68c0

12100200640 has 112 divisors (see below), whose sum is σ = 32799893760. Its totient is φ = 4208737280.

The previous prime is 12100200587. The next prime is 12100200647. The reversal of 12100200640 is 4600200121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12100200647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6231 + ... + 155689.

Almost surely, 212100200640 is an apocalyptic number.

12100200640 is a gapful number since it is divisible by the number (10) 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 12100200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399946880).

12100200640 is an abundant number, since it is smaller than the sum of its proper divisors (20699693120).

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

12100200640 is a wasteful number, since it uses less digits than its factorization.

12100200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149510 (or 149500 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12100200640 its reverse (4600200121), we get a palindrome (16700400761).

The spelling of 12100200640 in words is "twelve billion, one hundred million, two hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1760 1840 2024 2530 3520 3680 4048 5060 7360 8096 10120 16192 20240 40480 80960 149459 298918 597836 747295 1195672 1494590 1644049 2391344 2989180 3288098 3437557 4782688 5978360 6576196 6875114 8220245 9565376 11956720 13152392 13750228 16440490 17187785 23913440 26304784 27500456 32880980 34375570 37813127 47826880 52609568 55000912 65761960 68751140 75626254 105219136 110001824 131523920 137502280 151252508 189065635 220003648 263047840 275004560 302505016 378131270 526095680 550009120 605010032 756262540 1100018240 1210020064 1512525080 2420040128 3025050160 6050100320 12100200640