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1002021012 = 2232194771439
BaseRepresentation
bin111011101110011…
…010000010010100
32120211110221102100
4323232122002110
54023004133022
6243232442100
733555016026
oct7356320224
92524427370
101002021012
11474684243
1223b6a9330
1312c797055
1497116016
155ce801ac
hex3bb9a094

1002021012 has 144 divisors (see below), whose sum is σ = 2767564800. Its totient is φ = 304637760.

The previous prime is 1002021001. The next prime is 1002021037. The reversal of 1002021012 is 2101202001.

1002021012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10020210122 = 2008092216979008288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002020985 and 1002021003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2282289 + ... + 2282727.

It is an arithmetic number, because the mean of its divisors is an integer number (19219200).

Almost surely, 21002021012 is an apocalyptic number.

1002021012 is a gapful number since it is divisible by the number (12) 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 1002021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

1002021012 is an abundant number, since it is smaller than the sum of its proper divisors (1765543788).

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

1002021012 is a wasteful number, since it uses less digits than its factorization.

1002021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1002021012 is about 31654.7154781085. The cubic root of 1002021012 is about 1000.6732173434.

Adding to 1002021012 its reverse (2101202001), we get a palindrome (3103223013).

The spelling of 1002021012 in words is "one billion, two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 71 76 94 114 141 142 171 188 213 228 282 284 342 423 426 439 564 639 684 846 852 878 893 1278 1317 1349 1692 1756 1786 2556 2634 2679 2698 3337 3572 3951 4047 5268 5358 5396 6674 7902 8037 8094 8341 10011 10716 12141 13348 15804 16074 16188 16682 20022 20633 24282 25023 30033 31169 32148 33364 40044 41266 48564 50046 60066 61899 62338 63403 75069 82532 93507 100092 120132 123798 124676 126806 150138 185697 187014 190209 247596 253612 280521 300276 371394 374028 380418 392027 561042 570627 592211 742788 760836 784054 1122084 1141254 1176081 1184422 1464943 1568108 1776633 2282508 2352162 2368844 2929886 3528243 3553266 4394829 4704324 5329899 5859772 7056486 7106532 8789658 10659798 13184487 14112972 17579316 21319596 26368974 27833917 52737948 55667834 83501751 111335668 167003502 250505253 334007004 501010506 1002021012