Search a number
-
+
2120005401010 = 257235698532713
BaseRepresentation
bin11110110110011010001…
…010110011100110110010
321111200002211011212020221
4132312122022303212302
5234213232340313020
64301530025123254
7306110465403610
oct36663212634662
97450084155227
102120005401010
117480a8864852
122a2a5562952a
13124bb98bcbb3
14748748006b0
153a22d69d6aa
hex1ed9a2b39b2

2120005401010 has 128 divisors (see below), whose sum is σ = 4565793899520. Its totient is φ = 692965380096.

The previous prime is 2120005400983. The next prime is 2120005401029. The reversal of 2120005401010 is 101045000212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781423414 + ... + 781426126.

It is an arithmetic number, because the mean of its divisors is an integer number (35670264840).

Almost surely, 22120005401010 is an apocalyptic number.

2120005401010 is an abundant number, since it is smaller than the sum of its proper divisors (2445788498510).

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

2120005401010 is a wasteful number, since it uses less digits than its factorization.

2120005401010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172.

The product of its (nonzero) digits is 80, while the sum is 16.

The spelling of 2120005401010 in words is "two trillion, one hundred twenty billion, five million, four hundred one thousand, ten".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 569 805 853 1138 1610 1706 2713 2845 3983 4265 5426 5690 5971 7966 8530 11942 13087 13565 18991 19619 19915 26174 27130 29855 37982 39238 39830 59710 62399 65435 91609 94955 98095 124798 130870 137333 183218 189910 196190 274666 311995 436793 458045 485357 623990 686665 873586 916090 970714 1373330 1543697 2183965 2314189 2426785 3087394 3397499 4367930 4628378 4853570 6794998 7718485 10805879 11163211 11570945 15436970 16199323 16987495 21611758 22326422 23141890 32398646 33974990 35505031 53226347 54029395 55816055 71010062 78142477 80996615 106452694 108058790 111632110 156284954 161993230 177525155 248535217 266131735 355050310 372584429 390712385 497070434 532263470 745168858 781424770 1242676085 1316773541 1862922145 2485352170 2633547082 3725844290 6583867705 9217414787 13167735410 18434829574 30285791443 46087073935 60571582886 92174147870 151428957215 212000540101 302857914430 424001080202 1060002700505 2120005401010