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10010433324 = 2232931237809
BaseRepresentation
bin10010101001010101…
…10001011100101100
3221211122101200221210
421110222301130230
5131000132331244
64333154154420
7503032164543
oct112452613454
927748350853
1010010433324
1142776a07a1
121b34582a10
13c36c01338
146ad6bb15a
153d8c6e4b9
hex254ab172c

10010433324 has 144 divisors (see below), whose sum is σ = 25674213600. Its totient is φ = 3029806080.

The previous prime is 10010433281. The next prime is 10010433337. The reversal of 10010433324 is 42333401001.

It is a self number, because there is not a number n which added to its sum of digits gives 10010433324.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12373432 + ... + 12374240.

It is an arithmetic number, because the mean of its divisors is an integer number (178293150).

Almost surely, 210010433324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010433324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837106800).

10010433324 is an abundant number, since it is smaller than the sum of its proper divisors (15663780276).

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

10010433324 is a wasteful number, since it uses less digits than its factorization.

10010433324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10010433324 its reverse (42333401001), we get a palindrome (52343834325).

The spelling of 10010433324 in words is "ten billion, ten million, four hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 31 37 58 62 74 87 93 111 116 124 148 174 186 222 348 372 444 809 899 961 1073 1147 1618 1798 1922 2146 2294 2427 2697 2883 3219 3236 3441 3596 3844 4292 4588 4854 5394 5766 6438 6882 9708 10788 11532 12876 13764 23461 25079 27869 29933 33263 35557 46922 50158 55738 59866 66526 70383 71114 75237 83607 89799 93844 99789 100316 106671 111476 119732 133052 140766 142228 150474 167214 179598 199578 213342 281532 300948 334428 359196 399156 426684 727291 777449 868057 927923 1031153 1454582 1554898 1736114 1855846 2062306 2181873 2332347 2604171 2783769 2909164 3093459 3109796 3472228 3711692 4124612 4363746 4664694 5208342 5567538 6186918 8727492 9329388 10416684 11135076 12373836 22546021 26909767 28765613 45092042 53819534 57531226 67638063 80729301 86296839 90184084 107639068 115062452 135276126 161458602 172593678 270552252 322917204 345187356 834202777 1668405554 2502608331 3336811108 5005216662 10010433324