Search a number
-
+
11023021032120 = 2332530619502867
BaseRepresentation
bin1010000001100111111101…
…0000001100001010111000
31110000210100021210021112200
42200121333100030022320
52421100121341011440
635235523404110200
72215246510551126
oct240317720141270
943023307707480
1011023021032120
11356a923004099
1212a0403535360
1361c60a968356
142a1734b7a916
15141b02770c30
hexa067f40c2b8

11023021032120 has 48 divisors (see below), whose sum is σ = 35824818355560. Its totient is φ = 2939472275136.

The previous prime is 11023021032097. The next prime is 11023021032137. The reversal of 11023021032120 is 2123012032011.

11023021032120 is a `hidden beast` number, since 1 + 10 + 2 + 302 + 10 + 321 + 20 = 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 = 11023021032093 and 11023021032102.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 15309751074 + ... + 15309751793.

Almost surely, 211023021032120 is an apocalyptic number.

11023021032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11023021032120 is an abundant number, since it is smaller than the sum of its proper divisors (24801797323440).

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

11023021032120 is a wasteful number, since it uses less digits than its factorization.

11023021032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30619502884 (or 30619502877 counting only the distinct ones).

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

Adding to 11023021032120 its reverse (2123012032011), we get a palindrome (13146033064131).

The spelling of 11023021032120 in words is "eleven trillion, twenty-three billion, twenty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 30619502867 61239005734 91858508601 122478011468 153097514335 183717017202 244956022936 275575525803 306195028670 367434034404 459292543005 551151051606 612390057340 734868068808 918585086010 1102302103212 1224780114680 1377877629015 1837170172020 2204604206424 2755755258030 3674340344040 5511510516060 11023021032120