Search a number
-
+
211021102101210 = 23541271633069637
BaseRepresentation
bin101111111110110000101101…
…110101001011001011011010
31000200011102100102121112202220
4233332300231311023023122
5210124332204114214320
62024445431144204510
762306525425432122
oct5776605565131332
91020142312545686
10211021102101210
1161268601911225
121b801378169736
1390992874c5a4b
143a176939a9c82
15195e223112e40
hexbfec2dd4b2da

211021102101210 has 64 divisors (see below), whose sum is σ = 520717503204864. Its totient is φ = 54697216550400.

The previous prime is 211021102101209. The next prime is 211021102101211. The reversal of 211021102101210 is 12101201120112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211021102101209) and next prime (211021102101211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211021102101210.

It is not an unprimeable number, because it can be changed into a prime (211021102101211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316201489 + ... + 316868148.

It is an arithmetic number, because the mean of its divisors is an integer number (8136210987576).

Almost surely, 2211021102101210 is an apocalyptic number.

211021102101210 is an abundant number, since it is smaller than the sum of its proper divisors (309696401103654).

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

211021102101210 is a wasteful number, since it uses less digits than its factorization.

211021102101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633069959.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211021102101210 its reverse (12101201120112), we get a palindrome (223122303221322).

The spelling of 211021102101210 in words is "two hundred eleven trillion, twenty-one billion, one hundred two million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 55555 66666 111110 166665 333330 633069637 1266139274 1899208911 3165348185 3798417822 6330696370 9496044555 18992089110 25955855117 51911710234 77867565351 129779275585 155735130702 171561871627 259558551170 343123743254 389337826755 514685614881 778675653510 857809358135 1029371229762 1715618716270 2573428074405 5146856148810 7034036736707 14068073473414 21102110210121 35170183683535 42204220420242 70340367367070 105510551050605 211021102101210