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1012031321220 = 22325191201246391
BaseRepresentation
bin11101011101000011100…
…01000111010010000100
310120202020012110212110200
432232201301013102010
5113040120004234340
62052530515250500
7133055036203203
oct16564161072204
93522205425420
101012031321220
1136022232a677
1214417b2a9a30
1374584a7881a
1436da829923a
151b4d2b22330
hexeba1c47484

1012031321220 has 144 divisors (see below), whose sum is σ = 3234101969280. Its totient is φ = 255457152000.

The previous prime is 1012031321173. The next prime is 1012031321233. The reversal of 1012031321220 is 221231302101.

1012031321220 is a `hidden beast` number, since 1 + 0 + 120 + 3 + 1 + 321 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1012031321193 and 1012031321202.

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, 3984225 + ... + 4230615.

Almost surely, 21012031321220 is an apocalyptic number.

1012031321220 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 1012031321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617050984640).

1012031321220 is an abundant number, since it is smaller than the sum of its proper divisors (2222070648060).

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

1012031321220 is a wasteful number, since it uses less digits than its factorization.

1012031321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247626 (or 247621 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012031321220 its reverse (221231302101), we get a palindrome (1233262623321).

The spelling of 1012031321220 in words is "one trillion, twelve billion, thirty-one million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1201 1710 2402 3420 3603 4804 6005 7206 10809 12010 14412 18015 21618 22819 24020 36030 43236 45638 54045 68457 72060 91276 108090 114095 136914 205371 216180 228190 246391 273828 342285 410742 456380 492782 684570 739173 821484 985564 1026855 1231955 1369140 1478346 2053710 2217519 2463910 2956692 3695865 4107420 4435038 4681429 4927820 7391730 8870076 9362858 11087595 14044287 14783460 18725716 22175190 23407145 28088574 42132861 44350380 46814290 56177148 70221435 84265722 93628580 140442870 168531444 210664305 280885740 295915591 421328610 591831182 842657220 887746773 1183662364 1479577955 1775493546 2663240319 2959155910 3550987092 4438733865 5326480638 5622396229 5918311820 8877467730 10652961276 11244792458 13316201595 16867188687 17754935460 22489584916 26632403190 28111981145 33734377374 50601566061 53264806380 56223962290 67468754748 84335943435 101203132122 112447924580 168671886870 202406264244 253007830305 337343773740 506015660610 1012031321220