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1002212003340 = 2232543923575381
BaseRepresentation
bin11101001010110000111…
…11011000111000001100
310112210212212200211121200
432211120133120320030
5112410012233101330
62044224305225500
7132256514320242
oct16453037307014
93483785624550
101002212003340
11357043603829
1214229a932290
137367b640862
143671612a792
151b10aa54a60
hexe9587d8e0c

1002212003340 has 144 divisors (see below), whose sum is σ = 3048827221440. Its totient is φ = 266485086720.

The previous prime is 1002212003339. The next prime is 1002212003381. The reversal of 1002212003340 is 433002122001.

1002212003340 is a `hidden beast` number, since 100 + 2 + 21 + 200 + 3 + 340 = 666.

1002212003340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 186247450 + ... + 186252830.

It is an arithmetic number, because the mean of its divisors is an integer number (21172411260).

Almost surely, 21002212003340 is an apocalyptic number.

1002212003340 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 1002212003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524413610720).

1002212003340 is an abundant number, since it is smaller than the sum of its proper divisors (2046615218100).

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

1002212003340 is a wasteful number, since it uses less digits than its factorization.

1002212003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1002212003340 its reverse (433002122001), we get a palindrome (1435214125341).

The spelling of 1002212003340 in words is "one trillion, two billion, two hundred twelve million, three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 878 1317 1756 2195 2357 2634 3951 4390 4714 5268 5381 6585 7071 7902 8780 9428 10762 11785 13170 14142 15804 16143 19755 21213 21524 23570 26340 26905 28284 32286 35355 39510 42426 47140 48429 53810 64572 70710 79020 80715 84852 96858 106065 107620 141420 161430 193716 212130 242145 322860 424260 484290 968580 1034723 2069446 2362259 3104169 4138892 4724518 5173615 6208338 7086777 9312507 9449036 10347230 11811295 12416676 12683017 14173554 15520845 18625014 20694460 21260331 23622590 25366034 28347108 31041690 35433885 37250028 38049051 42520662 46562535 47245180 50732068 62083380 63415085 70867770 76098102 85041324 93125070 106301655 114147153 126830170 141735540 152196204 186250140 190245255 212603310 228294306 253660340 380490510 425206620 456588612 570735765 760981020 1141471530 2282943060 5567844463 11135688926 16703533389 22271377852 27839222315 33407066778 50110600167 55678444630 66814133556 83517666945 100221200334 111356889260 167035333890 200442400668 250553000835 334070667780 501106001670 1002212003340