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1121122122030 = 2325101191645737
BaseRepresentation
bin10000010100001000000…
…101011111100100101110
310222011210221001202000200
4100110020011133210232
5121332024230401110
62215011505534330
7143666310542151
oct20241005374456
93864727052020
101121122122030
113a2513234999
121613456443a6
138194baaab31
143c396809c98
151e269ec26c0
hex1050815f92e

1121122122030 has 96 divisors (see below), whose sum is σ = 2959195120128. Its totient is φ = 294455616000.

The previous prime is 1121122122019. The next prime is 1121122122061. The reversal of 1121122122030 is 302212211211.

1121122122030 is a `hidden beast` number, since 11 + 211 + 221 + 220 + 3 + 0 = 666.

It is a super-2 number, since 2×11211221220302 (a number of 25 digits) contains 22 as substring.

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 = 1121122121994 and 1121122122012.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1413322 + ... + 2059058.

It is an arithmetic number, because the mean of its divisors is an integer number (30824949168).

Almost surely, 21121122122030 is an apocalyptic number.

1121122122030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121122122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479597560064).

1121122122030 is an abundant number, since it is smaller than the sum of its proper divisors (1838072998098).

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

1121122122030 is a wasteful number, since it uses less digits than its factorization.

1121122122030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646042 (or 646039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1121122122030 its reverse (302212211211), we get a palindrome (1423334333241).

The spelling of 1121122122030 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 191 202 303 382 505 573 606 909 955 1010 1146 1515 1719 1818 1910 2865 3030 3438 4545 5730 8595 9090 17190 19291 38582 57873 96455 115746 173619 192910 289365 347238 578730 645737 868095 1291474 1736190 1937211 3228685 3874422 5811633 6457370 9686055 11623266 19372110 29058165 58116330 65219437 123335767 130438874 195658311 246671534 326097185 370007301 391316622 586974933 616678835 652194370 740014602 978291555 1110021903 1173949866 1233357670 1850036505 1956583110 2220043806 2934874665 3700073010 5550109515 5869749330 11100219030 12456912467 24913824934 37370737401 62284562335 74741474802 112112212203 124569124670 186853687005 224224424406 373707374010 560561061015 1121122122030