Search a number
-
+
1101002000120 = 235114161031153
BaseRepresentation
bin10000000001011000110…
…101010100011011111000
310220020212201111122111022
4100001120311110123320
5121014323003000440
62201443205522012
7142354566405461
oct20013065243370
93806781448438
101101002000120
11394a28a20570
1215946b413308
137ca93565959
143b4085b5d68
151d98d929cb5
hex10058d546f8

1101002000120 has 64 divisors (see below), whose sum is σ = 2768373145440. Its totient is φ = 390599372800.

The previous prime is 1101002000113. The next prime is 1101002000123. The reversal of 1101002000120 is 210002001011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1101002000098 and 1101002000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101002000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30497537 + ... + 30533616.

Almost surely, 21101002000120 is an apocalyptic number.

1101002000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101002000120 is an abundant number, since it is smaller than the sum of its proper divisors (1667371145320).

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

1101002000120 is a wasteful number, since it uses less digits than its factorization.

1101002000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61031216 (or 61031212 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1101002000120 its reverse (210002001011), we get a palindrome (1311004001131).

The spelling of 1101002000120 in words is "one trillion, one hundred one billion, two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 18040 61031153 122062306 244124612 305155765 488249224 610311530 671342683 1220623060 1342685366 2441246120 2502277273 2685370732 3356713415 5004554546 5370741464 6713426830 10009109092 12511386365 13426853660 20018218184 25022772730 26853707320 27525050003 50045545460 55050100006 100091090920 110100200012 137625250015 220200400024 275250500030 550501000060 1101002000120