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2121410221230 = 23523127160115121
BaseRepresentation
bin11110110111101101111…
…001110001010010101110
321111210201201121010022110
4132313231321301102232
5234224122004034410
64302321251224450
7306160344233436
oct36675571612256
97453651533273
102121410221230
11748759845aa3
122a3187ba8126
13125081968671
14749692092c6
153a2b1b96720
hex1edede714ae

2121410221230 has 128 divisors (see below), whose sum is σ = 5358280605696. Its totient is φ = 536481792000.

The previous prime is 2121410221219. The next prime is 2121410221243. The reversal of 2121410221230 is 321220141212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2121410221197 and 2121410221206.

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, 140288070 + ... + 140303190.

It is an arithmetic number, because the mean of its divisors is an integer number (41861567232).

Almost surely, 22121410221230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121410221230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679140302848).

2121410221230 is an abundant number, since it is smaller than the sum of its proper divisors (3236870384466).

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

2121410221230 is a wasteful number, since it uses less digits than its factorization.

2121410221230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16882.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2121410221230 its reverse (321220141212), we get a palindrome (2442630362442).

The spelling of 2121410221230 in words is "two trillion, one hundred twenty-one billion, four hundred ten million, two hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 127 138 230 254 345 381 635 690 762 1270 1601 1905 2921 3202 3810 4803 5842 8005 8763 9606 14605 15121 16010 17526 24015 29210 30242 36823 43815 45363 48030 73646 75605 87630 90726 110469 151210 184115 203327 220938 226815 347783 368230 406654 453630 552345 609981 695566 1016635 1043349 1104690 1219962 1738915 1920367 2033270 2086698 3049905 3477830 3840734 4676521 5216745 5761101 6099810 9353042 9601835 10433490 11522202 14029563 19203670 23382605 24208721 28059126 28805505 44168441 46765210 48417442 57611010 70147815 72626163 88336882 121043605 132505323 140295630 145252326 220842205 242087210 265010646 363130815 441684410 556800583 662526615 726261630 1113601166 1325053230 1670401749 2784002915 3074507567 3340803498 5568005830 6149015134 8352008745 9223522701 15372537835 16704017490 18447045402 30745075670 46117613505 70713674041 92235227010 141427348082 212141022123 353568370205 424282044246 707136740410 1060705110615 2121410221230