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1003023214120 = 2351928319872347
BaseRepresentation
bin11101001100010001101…
…01111010011000101000
310112212222102010121121101
432212020311322120220
5112413142420322440
62044441004251144
7132315564435244
oct16461065723050
93485872117541
101003023214120
1135741a501464
12142486540ab4
137377a71a435
1436791b73424
151b156d9369a
hexe988d7a628

1003023214120 has 128 divisors (see below), whose sum is σ = 2386191628800. Its totient is φ = 378398013696.

The previous prime is 1003023214093. The next prime is 1003023214121. The reversal of 1003023214120 is 214123203001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1003023214121) 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, 427362787 + ... + 427365133.

It is an arithmetic number, because the mean of its divisors is an integer number (18642122100).

Almost surely, 21003023214120 is an apocalyptic number.

1003023214120 is a gapful number since it is divisible by the number (10) 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 1003023214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193095814400).

1003023214120 is an abundant number, since it is smaller than the sum of its proper divisors (1383168414680).

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

1003023214120 is a wasteful number, since it uses less digits than its factorization.

1003023214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1003023214120 its reverse (214123203001), we get a palindrome (1217146417121).

The spelling of 1003023214120 in words is "one trillion, three billion, twenty-three million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 283 380 566 760 1132 1415 1987 2264 2347 2830 3974 4694 5377 5660 7948 9388 9935 10754 11320 11735 15896 18776 19870 21508 23470 26885 37753 39740 43016 44593 46940 53770 75506 79480 89186 93880 107540 151012 178372 188765 215080 222965 302024 356744 377530 445930 562321 664201 755060 891860 1124642 1328402 1510120 1783720 2249284 2656804 2811605 3321005 4498568 4663489 5313608 5623210 6642010 9326978 10684099 11246420 12619819 13284020 18653956 21368198 22492840 23317445 25239638 26568040 37307912 42736396 46634890 50479276 53420495 63099095 85472792 88606291 93269780 100958552 106840990 126198190 177212582 186539560 213681980 252396380 354425164 427363960 443031455 504792760 708850328 886062910 1319767387 1772125820 2639534774 3544251640 5279069548 6598836935 10558139096 13197673870 25075580353 26395347740 50151160706 52790695480 100302321412 125377901765 200604642824 250755803530 501511607060 1003023214120