Search a number
-
+
2120020220010 = 2357114663196817
BaseRepresentation
bin11110110110011011000…
…011010101100001101010
321111200010212001202002210
4132312123003111201222
5234213300134020020
64301531314505550
7306111035353650
oct36663303254152
97450125052083
102120020220010
11748106166560
122a2a5a5952b6
13124bbc9ab034
147487677add0
153a22eb293e0
hex1ed9b0d586a

2120020220010 has 128 divisors (see below), whose sum is σ = 6344933658624. Its totient is φ = 440426972160.

The previous prime is 2120020219991. The next prime is 2120020220011. The reversal of 2120020220010 is 100220200212.

It is not an unprimeable number, because it can be changed into a prime (2120020220011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10673122 + ... + 10869938.

It is an arithmetic number, because the mean of its divisors is an integer number (49569794208).

Almost surely, 22120020220010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120020220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172466829312).

2120020220010 is an abundant number, since it is smaller than the sum of its proper divisors (4224913438614).

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

2120020220010 is a wasteful number, since it uses less digits than its factorization.

2120020220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201508.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2120020220010 its reverse (100220200212), we get a palindrome (2220240420222).

The spelling of 2120020220010 in words is "two trillion, one hundred twenty billion, twenty million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 4663 9326 13989 23315 27978 32641 46630 51293 65282 69945 97923 102586 139890 153879 163205 195846 196817 256465 307758 326410 359051 393634 489615 512930 590451 718102 769395 979230 984085 1077153 1180902 1377719 1538790 1795255 1968170 2154306 2164987 2755438 2952255 3590510 4133157 4329974 5385765 5904510 6494961 6888595 8266314 10771530 10824935 12989922 13777190 15154909 20665785 21649870 30309818 32474805 41331570 45464727 64949610 75774545 90929454 151549090 227323635 454647270 917757671 1835515342 2753273013 4588788355 5506546026 6424303697 9177576710 10095334381 12848607394 13766365065 19272911091 20190668762 27532730130 30286003143 32121518485 38545822182 50476671905 60572006286 64243036970 70667340667 96364555455 100953343810 141334681334 151430015715 192729110910 212002022001 302860031430 353336703335 424004044002 706673406670 1060010110005 2120020220010