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10042011232430 = 2519241208132603
BaseRepresentation
bin1001001000100001011010…
…0000110010100010101110
31022120000012000202222112212
42102020112200302202232
52304012014333414210
633205123011330422
72054340254051432
oct222102640624256
938500160688485
1010042011232430
11322187a600821
1211622612b0a12
1357ac5aab8938
1426a07087a9c2
151263382aa805
hex922168328ae

10042011232430 has 96 divisors (see below), whose sum is σ = 19552323799008. Its totient is φ = 3710681395200.

The previous prime is 10042011232403. The next prime is 10042011232441. The reversal of 10042011232430 is 3423211024001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10042011232396 and 10042011232405.

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, 307992509 + ... + 308025111.

It is an arithmetic number, because the mean of its divisors is an integer number (203670039573).

Almost surely, 210042011232430 is an apocalyptic number.

10042011232430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10042011232430 is a deficient number, since it is larger than the sum of its proper divisors (9510312566578).

10042011232430 is a wasteful number, since it uses less digits than its factorization.

10042011232430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34770 (or 34751 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10042011232430 its reverse (3423211024001), we get a palindrome (13465222256431).

The spelling of 10042011232430 in words is "ten trillion, forty-two billion, eleven million, two hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 19 38 41 82 95 190 205 361 410 722 779 1558 1805 2081 3610 3895 4162 7790 10405 14801 20810 29602 32603 39539 65206 74005 79078 85321 148010 163015 170642 197695 326030 395390 426605 619457 751241 853210 1238914 1336723 1502482 1621099 2673446 3097285 3242198 3756205 6194570 6683615 7512410 8105495 11769683 13367230 16210990 23539366 25397737 30800881 50795474 58848415 61601762 67846843 117696830 126988685 135693686 154004405 253977370 308008810 339234215 482557003 678468430 965114006 1289090017 2412785015 2578180034 2781720563 4825570030 5563441126 6445450085 12890900170 13908602815 24492710323 27817205630 48985420646 52852690697 105705381394 122463551615 244927103230 264263453485 528526906970 1004201123243 2008402246486 5021005616215 10042011232430