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101443007430 = 232510715436827
BaseRepresentation
bin101111001111001111…
…0010111001111000110
3100200211201220201022100
41132132132113033012
53130223402214210
6114334031412530
710220565223152
oct1363636271706
9320751821270
10101443007430
113a026a29a26
12177b1084146
1397487688ab
144ca496a062
15298ac775c0
hex179e7973c6

101443007430 has 96 divisors (see below), whose sum is σ = 266428341504. Its totient is φ = 26777360448.

The previous prime is 101443007429. The next prime is 101443007441. The reversal of 101443007430 is 34700344101.

It is a junction number, because it is equal to n+sod(n) for n = 101443007394 and 101443007403.

It is a congruent number.

It is an unprimeable number.

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, 14855677 + ... + 14862503.

It is an arithmetic number, because the mean of its divisors is an integer number (2775295224).

Almost surely, 2101443007430 is an apocalyptic number.

101443007430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101443007430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133214170752).

101443007430 is an abundant number, since it is smaller than the sum of its proper divisors (164985334074).

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

101443007430 is a wasteful number, since it uses less digits than its factorization.

101443007430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490 (or 8487 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 101443007430 in words is "one hundred one billion, four hundred forty-three million, seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1543 1605 1926 3086 3210 4629 4815 6827 7715 9258 9630 13654 13887 15430 20481 23145 27774 34135 40962 46290 61443 68270 69435 102405 122886 138870 165101 204810 307215 330202 495303 614430 730489 825505 990606 1460978 1485909 1651010 2191467 2476515 2971818 3652445 4382934 4953030 6574401 7304890 7429545 10534061 10957335 13148802 14859090 21068122 21914670 31602183 32872005 52670305 63204366 65744010 94806549 105340610 158010915 189613098 316021830 474032745 948065490 1127144527 2254289054 3381433581 5635722635 6762867162 10144300743 11271445270 16907167905 20288601486 33814335810 50721503715 101443007430