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1022303002122 = 232237333826451
BaseRepresentation
bin11101110000001100000…
…00011101111000001010
310121201202001110022201200
432320012000131320022
5113222134032031442
62101350045125030
7133600423066563
oct16700600357012
93551661408650
101022303002122
11364613436556
12146167259776
1375530b29c0c
14376a053d16a
151b8d479834c
hexee0601de0a

1022303002122 has 48 divisors (see below), whose sum is σ = 2342955371328. Its totient is φ = 321486580800.

The previous prime is 1022303002081. The next prime is 1022303002129. The reversal of 1022303002122 is 2212003032201.

1022303002122 is a `hidden beast` number, since 10 + 2 + 230 + 300 + 2 + 122 = 666.

It is a super-3 number, since 3×10223030021223 (a number of 37 digits) contains 333 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 = 1022303002095 and 1022303002104.

It is not an unprimeable number, because it can be changed into a prime (1022303002129) 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 23 ways as a sum of consecutive naturals, for example, 16883004 + ... + 16943447.

It is an arithmetic number, because the mean of its divisors is an integer number (48811570236).

Almost surely, 21022303002122 is an apocalyptic number.

1022303002122 is an abundant number, since it is smaller than the sum of its proper divisors (1320652369206).

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

1022303002122 is a wasteful number, since it uses less digits than its factorization.

1022303002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33826555 (or 33826552 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1022303002122 its reverse (2212003032201), we get a palindrome (3234306034323).

The spelling of 1022303002122 in words is "one trillion, twenty-two billion, three hundred three million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 414 438 657 1314 1679 3358 5037 10074 15111 30222 33826451 67652902 101479353 202958706 304438059 608876118 778008373 1556016746 2334025119 2469330923 4668050238 4938661846 7002075357 7407992769 14004150714 14815985538 22223978307 44447956614 56794611229 113589222458 170383833687 340767667374 511151501061 1022303002122