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2102012000424 = 233374013346429
BaseRepresentation
bin11110100101101001101…
…011011011100010101000
321102221122211102101221000
4132211221223123202220
5233414410033003144
64245352340115000
7304602550126020
oct36455153334250
97387584371830
102102012000424
11740504a7a656
1229b473695a60
131232acb603bb
1473a48c10a80
1539a28b9a769
hex1e969adb8a8

2102012000424 has 128 divisors (see below), whose sum is σ = 6674736096000. Its totient is φ = 600423466752.

The previous prime is 2102012000411. The next prime is 2102012000443. The reversal of 2102012000424 is 4240002102012.

2102012000424 is a `hidden beast` number, since 21 + 0 + 20 + 1 + 200 + 0 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102012000397 and 2102012000406.

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, 5894442 + ... + 6240870.

It is an arithmetic number, because the mean of its divisors is an integer number (52146375750).

Almost surely, 22102012000424 is an apocalyptic number.

2102012000424 is a gapful number since it is divisible by the number (24) 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 2102012000424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337368048000).

2102012000424 is an abundant number, since it is smaller than the sum of its proper divisors (4572724095576).

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

2102012000424 is a wasteful number, since it uses less digits than its factorization.

2102012000424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350464 (or 350454 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2102012000424 its reverse (4240002102012), we get a palindrome (6342014102436).

The spelling of 2102012000424 in words is "two trillion, one hundred two billion, twelve million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 4013 8026 12039 16052 24078 28091 32104 36117 48156 56182 72234 84273 96312 108351 112364 144468 168546 216702 224728 252819 288936 337092 346429 433404 505638 674184 692858 758457 866808 1011276 1039287 1385716 1516914 2022552 2078574 2425003 2771432 3033828 3117861 4157148 4850006 6067656 6235722 7275009 8314296 9353583 9700012 12471444 14550018 18707166 19400024 21825027 24942888 29100036 37414332 43650054 58200072 65475081 74828664 87300108 130950162 174600216 261900324 523800648 1390219577 2780439154 4170658731 5560878308 8341317462 9731537039 11121756616 12511976193 16682634924 19463074078 25023952386 29194611117 33365269848 37535928579 38926148156 50047904772 58389222234 75071857158 77852296312 87583833351 100095809544 116778444468 150143714316 175167666702 233556888936 262751500053 300287428632 350335333404 525503000106 700670666808 1051006000212 2102012000424