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4122443003130 = 233523839791227
BaseRepresentation
bin111011111111010100110…
…000000011010011111010
3112121002202010210201201000
4323333110300003103322
51020020230402100010
612433454004305430
7603556660235454
oct73772460032372
915532663721630
104122443003130
11134a355670141
12566b599a2276
1323b98b17718a
14103754cdb2d4
157237a67d7c0
hex3bfd4c034fa

4122443003130 has 128 divisors (see below), whose sum is σ = 11484832665600. Its totient is φ = 1050267062592.

The previous prime is 4122443003099. The next prime is 4122443003141. The reversal of 4122443003130 is 313003442214.

4122443003130 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 44 + 300 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4122443003094 and 4122443003103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4814577 + ... + 5605803.

It is an arithmetic number, because the mean of its divisors is an integer number (89725255200).

Almost surely, 24122443003130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122443003130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742416332800).

4122443003130 is an abundant number, since it is smaller than the sum of its proper divisors (7362389662470).

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

4122443003130 is a wasteful number, since it uses less digits than its factorization.

4122443003130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792105 (or 792099 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4122443003130 its reverse (313003442214), we get a palindrome (4435446445344).

The spelling of 4122443003130 in words is "four trillion, one hundred twenty-two billion, four hundred forty-three million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 839 1035 1242 1678 2070 2517 3105 4195 5034 6210 7551 8390 12585 15102 19297 22653 25170 37755 38594 45306 57891 75510 96485 113265 115782 173673 192970 226530 289455 347346 521019 578910 791227 868365 1042038 1582454 1736730 2373681 2605095 3956135 4747362 5210190 7121043 7912270 11868405 14242086 18198221 21363129 23736810 35605215 36396442 42726258 54594663 71210430 90991105 106815645 109189326 163783989 181982210 213631290 272973315 327567978 491351967 545946630 663839453 818919945 982703934 1327678906 1637839890 1991518359 2456759835 3319197265 3983036718 4913519670 5974555077 6638394530 9957591795 11949110154 15268307419 17923665231 19915183590 29872775385 30536614838 35847330462 45804922257 59745550770 76341537095 89618326155 91609844514 137414766771 152683074190 179236652310 229024611285 274829533542 412244300313 458049222570 687073833855 824488600626 1374147667710 2061221501565 4122443003130