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210135438800 = 24527531416007
BaseRepresentation
bin1100001110110100001…
…1000101010111010000
3202002101200220022201122
43003231003011113100
511420324133020200
6240311311421412
721116231521160
oct3035503052720
9662350808648
10210135438800
1181132a82401
1234885b24868
1316a7b0aa841
14a25621c5a0
1556ed187385
hex30ed0c55d0

210135438800 has 120 divisors (see below), whose sum is σ = 587858553216. Its totient is φ = 70687019520.

The previous prime is 210135438797. The next prime is 210135438827. The reversal of 210135438800 is 8834531012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 23 ways as a sum of consecutive naturals, for example, 559604 + ... + 856403.

Almost surely, 2210135438800 is an apocalyptic number.

210135438800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210135438800 is an abundant number, since it is smaller than the sum of its proper divisors (377723114416).

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

210135438800 is a wasteful number, since it uses less digits than its factorization.

210135438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416085 (or 1416074 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

Adding to 210135438800 its reverse (8834531012), we get a palindrome (218969969812).

The spelling of 210135438800 in words is "two hundred ten billion, one hundred thirty-five million, four hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 140 175 200 212 265 280 350 371 400 424 530 560 700 742 848 1060 1325 1400 1484 1855 2120 2650 2800 2968 3710 4240 5300 5936 7420 9275 10600 14840 18550 21200 29680 37100 74200 148400 1416007 2832014 5664028 7080035 9912049 11328056 14160070 19824098 22656112 28320140 35400175 39648196 49560245 56640280 70800350 75048371 79296392 99120490 113280560 141600700 150096742 158592784 198240980 247801225 283201400 300193484 375241855 396481960 495602450 525338597 566402800 600386968 750483710 792963920 991204900 1050677194 1200773936 1500967420 1876209275 1982409800 2101354388 2626692985 3001934840 3752418550 3964819600 4202708776 5253385970 6003869680 7504837100 8405417552 10506771940 13133464925 15009674200 21013543880 26266929850 30019348400 42027087760 52533859700 105067719400 210135438800