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20211002190 = 23252914951971
BaseRepresentation
bin10010110100101010…
…110110101101001110
31221011112120021211200
4102310222312231032
5312343004032230
613141303530330
71313563453431
oct226452665516
957145507750
1020211002190
1186316470a5
123b007599a6
131ba13149c2
14d9a32d818
157d454a160
hex4b4ab6b4e

20211002190 has 96 divisors (see below), whose sum is σ = 54726516000. Its totient is φ = 5168728320.

The previous prime is 20211002167. The next prime is 20211002191. The reversal of 20211002190 is 9120011202.

It is a super-2 number, since 2×202110021902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211002191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362905 + ... + 414875.

It is an arithmetic number, because the mean of its divisors is an integer number (570067875).

Almost surely, 220211002190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211002190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27363258000).

20211002190 is an abundant number, since it is smaller than the sum of its proper divisors (34515513810).

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

20211002190 is a wasteful number, since it uses less digits than its factorization.

20211002190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52162 (or 52159 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20211002190 its reverse (9120011202), we get a palindrome (29331013392).

The spelling of 20211002190 in words is "twenty billion, two hundred eleven million, two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 149 174 261 290 298 435 447 522 745 870 894 1305 1341 1490 2235 2610 2682 4321 4470 6705 8642 12963 13410 21605 25926 38889 43210 51971 64815 77778 103942 129630 155913 194445 259855 311826 388890 467739 519710 779565 935478 1507159 1559130 2338695 3014318 4521477 4677390 7535795 7743679 9042954 13564431 15071590 15487358 22607385 23231037 27128862 38718395 45214770 46462074 67822155 69693111 77436790 116155185 135644310 139386222 224566691 232310370 348465555 449133382 673700073 696931110 1122833455 1347400146 2021100219 2245666910 3368500365 4042200438 6737000730 10105501095 20211002190