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212102002022010 = 235232916936260957
BaseRepresentation
bin110000001110011111011000…
…011111001001011001111010
31000210222202100012111202111220
4300032133120133021121322
5210300034400004201020
62031034151540532510
762450602223241432
oct6016373037113172
91023882305452456
10212102002022010
1161644a54720aa1
121b9569573b1136
1391471961929b9
143a53b124c72c2
15197c3d6d5b240
hexc0e7d87c967a

212102002022010 has 128 divisors (see below), whose sum is σ = 549818298247680. Its totient is φ = 52204953056256.

The previous prime is 212102002022003. The next prime is 212102002022017. The reversal of 212102002022010 is 10220200201212.

It is an interprime number because it is at equal distance from previous prime (212102002022003) and next prime (212102002022017).

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

It is not an unprimeable number, because it can be changed into a prime (212102002022017) 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, 30746452 + ... + 37007408.

It is an arithmetic number, because the mean of its divisors is an integer number (4295455455060).

Almost surely, 2212102002022010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102002022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274909149123840).

212102002022010 is an abundant number, since it is smaller than the sum of its proper divisors (337716296225670).

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

212102002022010 is a wasteful number, since it uses less digits than its factorization.

212102002022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262712.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212102002022010 its reverse (10220200201212), we get a palindrome (222322202223222).

The spelling of 212102002022010 in words is "two hundred twelve trillion, one hundred two billion, two million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 1693 2001 3335 3386 4002 5079 6670 8465 10005 10158 16930 20010 25395 38939 49097 50790 77878 98194 116817 147291 194695 233634 245485 294582 389390 490970 584085 736455 1129231 1168170 1472910 2258462 3387693 5646155 6260957 6775386 11292310 12521914 16938465 18782871 31304785 33876930 37565742 62609570 93914355 144002011 181567753 187828710 288004022 363135506 432006033 544703259 720010055 864012066 907838765 1089406518 1440020110 1815677530 2160030165 2723516295 4176058319 4320060330 5447032590 8352116638 10599800201 12528174957 20880291595 21199600402 25056349914 31799400603 41760583190 52999001005 62640874785 63598801206 105998002010 125281749570 158997003015 243795404623 307394205829 317994006030 487590809246 614788411658 731386213869 922182617487 1218977023115 1462772427738 1536971029145 1844365234974 2437954046230 3073942058290 3656931069345 4610913087435 7070066734067 7313862138690 9221826174870 14140133468134 21210200202201 35350333670335 42420400404402 70700667340670 106051001011005 212102002022010