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101442422004 = 223711228335267
BaseRepresentation
bin101111001111001110…
…0001000010011110100
3100200211200210222020220
41132132130020103310
53130223230001004
6114334011054340
710220560234320
oct1363634102364
9320750728226
10101442422004
113a02666a100
12177b0a413b0
1397485c22a1
144ca4856980
15298abaddd9
hex179e7084f4

101442422004 has 144 divisors (see below), whose sum is σ = 298400008704. Its totient is φ = 26254831680.

The previous prime is 101442421973. The next prime is 101442422027. The reversal of 101442422004 is 400224244101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2858779 + ... + 2894045.

Almost surely, 2101442422004 is an apocalyptic number.

101442422004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101442422004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149200004352).

101442422004 is an abundant number, since it is smaller than the sum of its proper divisors (196957586700).

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

101442422004 is a wasteful number, since it uses less digits than its factorization.

101442422004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35586 (or 35573 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 101442422004 its reverse (400224244101), we get a palindrome (501666666105).

The spelling of 101442422004 in words is "one hundred one billion, four hundred forty-two million, four hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 283 308 363 462 484 566 726 847 849 924 1132 1452 1694 1698 1981 2541 3113 3388 3396 3962 5082 5943 6226 7924 9339 10164 11886 12452 18678 21791 23772 34243 35267 37356 43582 65373 68486 70534 87164 102729 105801 130746 136972 141068 205458 211602 239701 246869 261492 387937 410916 423204 479402 493738 719103 740607 775874 958804 987476 1163811 1438206 1481214 1551748 2327622 2715559 2876412 2962428 4267307 4655244 5431118 8146677 8534614 9980561 10862236 12801921 16293354 17069228 19961122 25603842 29871149 29941683 32586708 39922244 51207684 59742298 59883366 69863927 89613447 109786171 119484596 119766732 139727854 179226894 209591781 219572342 279455708 329358513 358453788 419183562 439144684 658717026 768503197 838367124 1207647881 1317434052 1537006394 2305509591 2415295762 3074012788 3622943643 4611019182 4830591524 7245887286 8453535167 9222038364 14491774572 16907070334 25360605501 33814140668 50721211002 101442422004