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210202433430020 = 225377391579243433
BaseRepresentation
bin101111110010110110010001…
…011000000010001000000100
31000120021011020000002001022222
4233302312101120002020010
5210022424040424230040
62023021355333311512
762163424153515233
oct5762662130021004
91016234200061288
10210202433430020
1160a82395783559
121b6aa781795598
13903a009928495
1439c9bd00b6b1a
151947caadd2bb5
hexbf2d91602204

210202433430020 has 96 divisors (see below), whose sum is σ = 454258360348800. Its totient is φ = 81645737370624.

The previous prime is 210202433429951. The next prime is 210202433430089. The reversal of 210202433430020 is 20034334202012.

It is an interprime number because it is at equal distance from previous prime (210202433429951) and next prime (210202433430089).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 863370224 + ... + 863613656.

It is an arithmetic number, because the mean of its divisors is an integer number (4731857920300).

Almost surely, 2210202433430020 is an apocalyptic number.

210202433430020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210202433430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227129180174400).

210202433430020 is an abundant number, since it is smaller than the sum of its proper divisors (244055926918780).

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

210202433430020 is a wasteful number, since it uses less digits than its factorization.

210202433430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245797 (or 245795 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 210202433430020 its reverse (20034334202012), we get a palindrome (230236767632032).

The spelling of 210202433430020 in words is "two hundred ten trillion, two hundred two billion, four hundred thirty-three million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 739 740 1478 1579 2956 3158 3695 6316 7390 7895 14780 15790 27343 31580 54686 58423 109372 116846 136715 233692 243433 273430 292115 486866 546860 584230 973732 1166881 1168460 1217165 2333762 2434330 4667524 4868660 5834405 9007021 11668810 18014042 23337620 36028084 43174597 45035105 86349194 90070210 172698388 179896987 180140420 215872985 359793974 384380707 431745970 719587948 768761414 863491940 899484935 1537522828 1798969870 1921903535 3597939740 3843807070 6656188519 7687614140 13312377038 14222086159 26624754076 28444172318 33280942595 56888344636 66561885190 71110430795 133123770380 142220861590 284057342473 284441723180 568114684946 1136229369892 1420286712365 2840573424730 5681146849460 10510121671501 21020243343002 42040486686004 52550608357505 105101216715010 210202433430020