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20233074630241 = 1123229852114071
BaseRepresentation
bin1001001100110111000010…
…01110011101111001100001
32122122021002202111111022101
410212123201032131321201
510122444314101131431
6111010540212210401
74155535310500204
oct446334116357141
978567082444271
1020233074630241
1164a08871764a0
12232937b909a01
13b39c8097c725
144dd400c5993b
15251496d1a961
hex1266e139de61

20233074630241 has 48 divisors (see below), whose sum is σ = 23873988942720. Its totient is φ = 16984088352000.

The previous prime is 20233074630203. The next prime is 20233074630253. The reversal of 20233074630241 is 14203647033202.

It is not a de Polignac number, because 20233074630241 - 215 = 20233074597473 is a prime.

It is a super-3 number, since 3×202330746302413 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20233074630241.

It is not an unprimeable number, because it can be changed into a prime (20233074637241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437920236 + ... + 1437934306.

It is an arithmetic number, because the mean of its divisors is an integer number (497374769640).

Almost surely, 220233074630241 is an apocalyptic number.

It is an amenable number.

20233074630241 is a deficient number, since it is larger than the sum of its proper divisors (3640914312479).

20233074630241 is a wasteful number, since it uses less digits than its factorization.

20233074630241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22678 (or 22655 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 37.

The spelling of 20233074630241 in words is "twenty trillion, two hundred thirty-three billion, seventy-four million, six hundred thirty thousand, two hundred forty-one".

Divisors: 1 11 23 29 253 319 529 667 5819 7337 8521 14071 15341 93731 154781 168751 195983 247109 323633 408059 2155813 2718199 3559963 4488649 4507609 5683507 7443559 9385357 49583699 62518577 81879149 103238927 119898991 130720661 215863211 1318888901 1437927271 2374495321 2757676793 3477070739 30334444723 38247778129 63426566239 79972626997 697692228629 879698896967 1839370420931 20233074630241