Search a number
-
+
1002120101220 = 223573764486493
BaseRepresentation
bin11101001010100110000…
…00110011110101100100
310112210122110202201121110
432211103000303311210
5112404320221214340
62044211223345020
7132254320213110
oct16452300636544
93483573681543
101002120101220
11356aa6743367
12142273bb2170
13736655a3bc4
1436707c46740
151b10294e680
hexe953033d64

1002120101220 has 96 divisors (see below), whose sum is σ = 3293454221568. Its totient is φ = 222865316352.

The previous prime is 1002120101179. The next prime is 1002120101231. The reversal of 1002120101220 is 221010212001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002120101196 and 1002120101205.

It is an unprimeable number.

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, 32227707 + ... + 32258786.

It is an arithmetic number, because the mean of its divisors is an integer number (34306814808).

Almost surely, 21002120101220 is an apocalyptic number.

1002120101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002120101220 is an abundant number, since it is smaller than the sum of its proper divisors (2291334120348).

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

1002120101220 is a wasteful number, since it uses less digits than its factorization.

1002120101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64486549 (or 64486547 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002120101220 its reverse (221010212001), we get a palindrome (1223130313221).

The spelling of 1002120101220 in words is "one trillion, two billion, one hundred twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 64486493 128972986 193459479 257945972 322432465 386918958 451405451 644864930 773837916 902810902 967297395 1289729860 1354216353 1805621804 1934594790 2257027255 2386000241 2708432706 3869189580 4514054510 4772000482 5416865412 6771081765 7158000723 9028109020 9544000964 11930001205 13542163530 14316001446 16702001687 23860002410 27084327060 28632002892 33404003374 35790003615 47720004820 50106005061 66808006748 71580007230 83510008435 100212010122 143160014460 167020016870 200424020244 250530025305 334040033740 501060050610 1002120101220