Search a number
-
+
212100012020010 = 2354310110315804923
BaseRepresentation
bin110000001110011101100001…
…110111111001000100101010
31000210222120012111222011222010
4300032131201313321010222
5210300021311034120020
62031033222252140350
762450502010430352
oct6016354167710452
91023876174864863
10212100012020010
1161644123393044
121b9564a0a676b6
139146c39b0931a
143a539a40b1b62
15197c31c2c0de0
hexc0e761df912a

212100012020010 has 128 divisors (see below), whose sum is σ = 531142551853056. Its totient is φ = 54166628678400.

The previous prime is 212100012020009. The next prime is 212100012020023. The reversal of 212100012020010 is 10020210001212.

212100012020010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 5517409 + ... + 21322331.

It is an arithmetic number, because the mean of its divisors is an integer number (4149551186352).

Almost surely, 2212100012020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212100012020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265571275926528).

212100012020010 is an abundant number, since it is smaller than the sum of its proper divisors (319042539833046).

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

212100012020010 is a wasteful number, since it uses less digits than its factorization.

212100012020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15805180.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100012020010 its reverse (10020210001212), we get a palindrome (222120222021222).

The spelling of 212100012020010 in words is "two hundred twelve trillion, one hundred billion, twelve million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 101 103 129 202 206 215 258 303 309 430 505 515 606 618 645 1010 1030 1290 1515 1545 3030 3090 4343 4429 8686 8858 10403 13029 13287 20806 21715 22145 26058 26574 31209 43430 44290 52015 62418 65145 66435 104030 130290 132870 156045 312090 447329 894658 1341987 2236645 2683974 4473290 6709935 13419870 15804923 31609846 47414769 79024615 94829538 158049230 237073845 474147690 679611689 1359223378 1596297223 1627907069 2038835067 3192594446 3255814138 3398058445 4077670134 4788891669 4883721207 6796116890 7981486115 8139535345 9577783338 9767442414 10194175335 15962972230 16279070690 20388350670 23944458345 24418606035 47888916690 48837212070 68640780589 70000003967 137281561178 140000007934 164418613969 205922341767 210000011901 328837227938 343203902945 350000019835 411844683534 420000023802 493255841907 686407805890 700000039670 822093069845 986511683814 1029611708835 1050000059505 1644186139690 2059223417670 2100000119010 2466279209535 4932558419070 7070000400667 14140000801334 21210001202001 35350002003335 42420002404002 70700004006670 106050006010005 212100012020010