Search a number
-
+
210122202112 = 2101731389369
BaseRepresentation
bin1100001110110001000…
…0100101110000000000
3202002100202222211101221
43003230100211300000
511420312240431422
6240310120004424
721116011151224
oct3035420456000
9662322884357
10210122202112
1181126561499
1234881600714
1316a78424994
14a254574784
1556ebe203c7
hex30ec425c00

210122202112 has 88 divisors (see below), whose sum is σ = 459095264640. Its totient is φ = 95691079680.

The previous prime is 210122202079. The next prime is 210122202113. The reversal of 210122202112 is 211202221012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344964 + ... + 734332.

Almost surely, 2210122202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229547632320).

210122202112 is an abundant number, since it is smaller than the sum of its proper divisors (248973062528).

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

210122202112 is a wasteful number, since it uses less digits than its factorization.

210122202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389437 (or 389419 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210122202112 its reverse (211202221012), we get a palindrome (421324423124).

The spelling of 210122202112 in words is "two hundred ten billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 256 272 496 512 527 544 992 1024 1054 1088 1984 2108 2176 3968 4216 4352 7936 8432 8704 15872 16864 17408 31744 33728 67456 134912 269824 389369 539648 778738 1557476 3114952 6229904 6619273 12070439 12459808 13238546 24140878 24919616 26477092 48281756 49839232 52954184 96563512 99678464 105908368 193127024 199356928 205197463 211816736 386254048 398713856 410394926 423633472 772508096 820789852 847266944 1545016192 1641579704 1694533888 3090032384 3283159408 3389067776 6180064768 6566318816 6778135552 12360129536 13132637632 26265275264 52530550528 105061101056 210122202112