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101024210000 = 245471443203
BaseRepresentation
bin101111000010110000…
…0110001110001010000
3100122202112212121020102
41132011200301301100
53123344144210000
6114224311231532
710204321421330
oct1360540616120
9318675777212
10101024210000
113993159524a
12176b49785a8
1396aca7536c
144c650b10c0
1529640ee3d5
hex1785831c50

101024210000 has 100 divisors (see below), whose sum is σ = 279531296352. Its totient is φ = 34636848000.

The previous prime is 101024209931. The next prime is 101024210017. The reversal of 101024210000 is 12420101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1010242100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 651602 + ... + 791601.

Almost surely, 2101024210000 is an apocalyptic number.

101024210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101024210000 is an abundant number, since it is smaller than the sum of its proper divisors (178507086352).

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

101024210000 is an equidigital number, since it uses as much as digits as its factorization.

101024210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443238 (or 1443217 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101024210000 its reverse (12420101), we get a palindrome (101036630101).

The spelling of 101024210000 in words is "one hundred one billion, twenty-four million, two hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 1443203 2886406 5772812 7216015 10102421 11545624 14432030 20204842 23091248 28864060 36080075 40409684 50512105 57728120 72160150 80819368 101024210 115456240 144320300 161638736 180400375 202048420 252560525 288640600 360800750 404096840 505121050 577281200 721601500 808193680 902001875 1010242100 1262802625 1443203000 1804003750 2020484200 2525605250 2886406000 3608007500 4040968400 5051210500 6314013125 7216015000 10102421000 12628026250 14432030000 20204842000 25256052500 50512105000 101024210000