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1122023311020 = 2232541152035679
BaseRepresentation
bin10000010100111101110…
…011010000011010101100
310222021010201210212220200
4100110331303100122230
5121340400431423040
62215241141313500
7144030532532253
oct20247563203254
93867121725820
101122023311020
113a29359a9587
12161557405890
1381a636cc761
143c44039579a
151e2be186630
hex1053dcd06ac

1122023311020 has 72 divisors (see below), whose sum is σ = 3486482213760. Its totient is φ = 291908501760.

The previous prime is 1122023310983. The next prime is 1122023311049. The reversal of 1122023311020 is 201133202211.

1122023311020 is a `hidden beast` number, since 11 + 220 + 2 + 331 + 102 + 0 = 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 = 1122023310984 and 1122023311002.

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 23 ways as a sum of consecutive naturals, for example, 76010460 + ... + 76025219.

It is an arithmetic number, because the mean of its divisors is an integer number (48423364080).

Almost surely, 21122023311020 is an apocalyptic number.

1122023311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122023311020 is an abundant number, since it is smaller than the sum of its proper divisors (2364458902740).

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

1122023311020 is a wasteful number, since it uses less digits than its factorization.

1122023311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152035735 (or 152035730 counting only the distinct ones).

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

Adding to 1122023311020 its reverse (201133202211), we get a palindrome (1323156513231).

The spelling of 1122023311020 in words is "one trillion, one hundred twenty-two billion, twenty-three million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 152035679 304071358 456107037 608142716 760178395 912214074 1368321111 1520356790 1824428148 2280535185 2736642222 3040713580 4561070370 5473284444 6233462839 6841605555 9122140740 12466925678 13683211110 18700388517 24933851356 27366422220 31167314195 37400777034 56101165551 62334628390 74801554068 93501942585 112202331102 124669256780 187003885170 224404662204 280505827755 374007770340 561011655510 1122023311020