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2105158555830 = 23511411483104917
BaseRepresentation
bin11110101000100101001…
…110100101100010110110
321110020210010012222111010
4132220211032211202312
5233442331042241310
64251032501453050
7305043535323651
oct36504516454266
97406703188433
102105158555830
1174187a13a270
1229bbb1411186
13123691a089c5
1473c66a86898
1539b6003d320
hex1ea253a58b6

2105158555830 has 128 divisors (see below), whose sum is σ = 5649980345856. Its totient is φ = 497553638400.

The previous prime is 2105158555823. The next prime is 2105158555853. The reversal of 2105158555830 is 385558515012.

It is a self number, because there is not a number n which added to its sum of digits gives 2105158555830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20012532 + ... + 20117448.

It is an arithmetic number, because the mean of its divisors is an integer number (44140471452).

Almost surely, 22105158555830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105158555830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824990172928).

2105158555830 is an abundant number, since it is smaller than the sum of its proper divisors (3544821790026).

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

2105158555830 is a wasteful number, since it uses less digits than its factorization.

2105158555830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106462.

The product of its (nonzero) digits is 1200000, while the sum is 48.

The spelling of 2105158555830 in words is "two trillion, one hundred five billion, one hundred fifty-eight million, five hundred fifty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 1483 2255 2706 2966 4449 4510 6765 7415 8898 13530 14830 16313 22245 32626 44490 48939 60803 81565 97878 104917 121606 163130 182409 209834 244695 304015 314751 364818 489390 524585 608030 629502 668833 912045 1049170 1154087 1337666 1573755 1824090 2006499 2308174 3147510 3344165 3462261 4012998 4301597 5770435 6688330 6924522 8603194 10032495 11540870 12904791 17311305 20064990 21507985 25809582 34622610 43015970 47317567 64523955 94635134 129047910 141952701 155591911 236587835 283905402 311183822 466775733 473175670 709763505 777959555 933551466 1419527010 1555919110 1711511021 2333878665 3423022042 4667757330 5134533063 6379268351 8557555105 10269066126 12758536702 17115110210 19137805053 25672665315 31896341755 38275610106 51345330630 63792683510 70171951861 95689025265 140343903722 191378050530 210515855583 350859759305 421031711166 701719518610 1052579277915 2105158555830