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20210433102 = 2321783898941
BaseRepresentation
bin10010110100101000…
…101011110001001110
31221011111111101012100
4102310220223301032
5312342332324402
613141243415530
71313555563326
oct226450536116
957144441170
1020210433102
118631298582
123b005245a6
131ba1175972
14d9a222286
157d448671c
hex4b4a2bc4e

20210433102 has 96 divisors (see below), whose sum is σ = 47456267040. Its totient is φ = 6193059840.

The previous prime is 20210433083. The next prime is 20210433121. The reversal of 20210433102 is 20133401202.

20210433102 is a `hidden beast` number, since 20 + 210 + 433 + 1 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20210433083) and next prime (20210433121).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255952 + ... + 2264892.

It is an arithmetic number, because the mean of its divisors is an integer number (494336115).

Almost surely, 220210433102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210433102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23728133520).

20210433102 is an abundant number, since it is smaller than the sum of its proper divisors (27245833938).

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

20210433102 is a wasteful number, since it uses less digits than its factorization.

20210433102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20210433102 its reverse (20133401202), we get a palindrome (40343834304).

The spelling of 20210433102 in words is "twenty billion, two hundred ten million, four hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 83 89 102 153 166 178 249 267 306 498 534 747 801 1411 1494 1513 1602 2822 3026 4233 4539 7387 8466 8941 9078 12699 13617 14774 17882 22161 25398 26823 27234 44322 53646 66483 80469 125579 132966 151997 160938 251158 303994 376737 455991 742103 753474 795749 911982 1130211 1367973 1484206 1591498 2226309 2260422 2387247 2735946 4452618 4774494 6678927 7161741 12615751 13357854 13527733 14323482 25231502 27055466 37847253 40583199 66047167 75694506 81166398 113541759 121749597 132094334 198141501 227083518 243499194 396283002 594424503 1122801839 1188849006 2245603678 3368405517 6736811034 10105216551 20210433102