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1021213542000 = 24353374600061
BaseRepresentation
bin11101101110001010001…
…00100000011001110000
310121121221010110000101210
432313011010200121300
5113212421131321000
62101050010200120
7133531423612161
oct16670504403160
93547833400353
101021213542000
1136410446aa93
12145b02423040
13753b91c9762
14375d9985768
151b86dce5350
hexedc5120670

1021213542000 has 160 divisors (see below), whose sum is σ = 3381376774464. Its totient is φ = 264963456000.

The previous prime is 1021213541981. The next prime is 1021213542007. The reversal of 1021213542000 is 2453121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021213542007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2078031 + ... + 2522030.

Almost surely, 21021213542000 is an apocalyptic number.

1021213542000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021213542000 is an abundant number, since it is smaller than the sum of its proper divisors (2360163232464).

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

1021213542000 is a wasteful number, since it uses less digits than its factorization.

1021213542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600124 (or 4600108 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 1021213542000 its reverse (2453121201), we get a palindrome (1023666663201).

The spelling of 1021213542000 in words is "one trillion, twenty-one billion, two hundred thirteen million, five hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 74000 111000 222000 4600061 9200122 13800183 18400244 23000305 27600366 36800488 46000610 55200732 69000915 73600976 92001220 110401464 115001525 138001830 170202257 184002440 220802928 230003050 276003660 340404514 345004575 368004880 460006100 510606771 552007320 575007625 680809028 690009150 851011285 920012200 1021213542 1104014640 1150015250 1361618056 1380018300 1702022570 1725022875 1840024400 2042427084 2300030500 2553033855 2723236112 2760036600 3404045140 3450045750 4084854168 4255056425 4600061000 5106067710 5520073200 6808090280 6900091500 8169708336 8510112850 9200122000 10212135420 12765169275 13616180560 13800183000 17020225700 20424270840 21275282125 25530338550 27600366000 34040451400 40848541680 42550564250 51060677100 63825846375 68080902800 85101128500 102121354200 127651692750 170202257000 204242708400 255303385500 340404514000 510606771000 1021213542000