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1211302002000 = 24353434694969
BaseRepresentation
bin10001101000000111001…
…110011011110101010000
311021210120201102022002010
4101220013032123311100
5124321221303031000
62324244153422520
7153341123064126
oct21500716336520
94253521368063
101211302002000
1142778a446512
1217691270aa40
138a2c0c6145c
14428ad56d916
1521797031d50
hex11a0739bd50

1211302002000 has 160 divisors (see below), whose sum is σ = 3996057985920. Its totient is φ = 315501849600.

The previous prime is 1211302001971. The next prime is 1211302002007. The reversal of 1211302002000 is 2002031121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211302002007) 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 31 ways as a sum of consecutive naturals, for example, 2089485 + ... + 2605484.

It is an arithmetic number, because the mean of its divisors is an integer number (24975362412).

Almost surely, 21211302002000 is an apocalyptic number.

1211302002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211302002000 is an abundant number, since it is smaller than the sum of its proper divisors (2784755983920).

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

1211302002000 is a wasteful number, since it uses less digits than its factorization.

1211302002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695038 (or 4695022 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1211302002000 its reverse (2002031121), we get a palindrome (1213304033121).

The spelling of 1211302002000 in words is "one trillion, two hundred eleven billion, three hundred two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8600 10320 10750 12900 16125 17200 21500 25800 32250 43000 51600 64500 86000 129000 258000 4694969 9389938 14084907 18779876 23474845 28169814 37559752 46949690 56339628 70424535 75119504 93899380 112679256 117374225 140849070 187798760 201883667 225358512 234748450 281698140 352122675 375597520 403767334 469496900 563396280 586871125 605651001 704245350 807534668 938993800 1009418335 1126792560 1173742250 1211302002 1408490700 1615069336 1760613375 1877987600 2018836670 2347484500 2422604004 2816981400 3028255005 3230138672 3521226750 4037673340 4694969000 4845208008 5047091675 5633962800 6056510010 7042453500 8075346680 9389938000 9690416016 10094183350 12113020020 14084907000 15141275025 16150693360 20188366700 24226040040 25235458375 28169814000 30282550050 40376733400 48452080080 50470916750 60565100100 75706375125 80753466800 100941833500 121130200200 151412750250 201883667000 242260400400 302825500500 403767334000 605651001000 1211302002000