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10012003092 = 22327133598513
BaseRepresentation
bin10010101001100001…
…10000101100010100
3221211202100110021100
421110300300230110
5131001033044332
64333251550100
7503051423250
oct112460605424
927752313240
1010012003092
114278573123
121b34bbb330
13c373309b0
146ad9a9260
153d8e7e67c
hex254c30b14

10012003092 has 144 divisors (see below), whose sum is σ = 31238887680. Its totient is φ = 2632863744.

The previous prime is 10012003091. The next prime is 10012003129. The reversal of 10012003092 is 29030021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012003091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1171828 + ... + 1180340.

It is an arithmetic number, because the mean of its divisors is an integer number (216936720).

Almost surely, 210012003092 is an apocalyptic number.

10012003092 is a gapful number since it is divisible by the number (12) 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 10012003092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619443840).

10012003092 is an abundant number, since it is smaller than the sum of its proper divisors (21226884588).

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

10012003092 is a wasteful number, since it uses less digits than its factorization.

10012003092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8902 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10012003092 its reverse (29030021001), we get a palindrome (39042024093).

The spelling of 10012003092 in words is "ten billion, twelve million, three thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 359 364 468 546 718 819 1077 1092 1436 1638 2154 2513 3231 3276 4308 4667 5026 6462 7539 8513 9334 10052 12924 14001 15078 17026 18668 22617 25539 28002 30156 32669 34052 42003 45234 51078 56004 59591 65338 76617 84006 90468 98007 102156 110669 119182 130676 153234 168012 178773 196014 221338 238364 294021 306468 332007 357546 392028 442676 536319 588042 664014 715092 774683 996021 1072638 1176084 1328028 1549366 1992042 2145276 2324049 3056167 3098732 3984084 4648098 6112334 6972147 9168501 9296196 12224668 13944294 18337002 21393169 27505503 27888588 36674004 39730171 42786338 55011006 64179507 79460342 85572676 110022012 119190513 128359014 158920684 192538521 238381026 256718028 278111197 357571539 385077042 476762052 556222394 715143078 770154084 834333591 1112444788 1430286156 1668667182 2503000773 3337334364 5006001546 10012003092