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10033002324 = 223273131151193
BaseRepresentation
bin10010101100000001…
…10111011101010100
3221220012212022210200
421112000313131110
5131021422033244
64335322020500
7503425053432
oct112600673524
927805768720
1010033002324
114289406164
121b40047730
13c3b7a3b87
146b26b3d52
153dac2b669
hex256037754

10033002324 has 144 divisors (see below), whose sum is σ = 26211529344. Its totient is φ = 3234816000.

The previous prime is 10033002299. The next prime is 10033002367. The reversal of 10033002324 is 42320033001.

10033002324 is a `hidden beast` number, since 10 + 0 + 330 + 0 + 2 + 324 = 666.

It is a super-2 number, since 2×100330023242 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10033002297 and 10033002306.

It is a congruent number.

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, 51984372 + ... + 51984564.

Almost surely, 210033002324 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 10033002324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105764672).

10033002324 is an abundant number, since it is smaller than the sum of its proper divisors (16178527020).

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

10033002324 is a wasteful number, since it uses less digits than its factorization.

10033002324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10033002324 its reverse (42320033001), we get a palindrome (52353035325).

The spelling of 10033002324 in words is "ten billion, thirty-three million, two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 131 146 151 193 219 262 292 302 386 393 438 453 524 579 604 657 772 786 876 906 1158 1179 1314 1359 1572 1737 1812 2316 2358 2628 2718 3474 4716 5436 6948 9563 11023 14089 19126 19781 22046 25283 28178 28689 29143 33069 38252 39562 42267 44092 50566 56356 57378 58286 59343 66138 75849 79124 84534 86067 87429 99207 101132 114756 116572 118686 126801 132276 151698 169068 172134 174858 178029 198414 227547 237372 253602 262287 303396 344268 349716 356058 396828 455094 507204 524574 712116 910188 1049148 1444013 1845659 2127439 2888026 3691318 3817733 4254878 4332039 5536977 5776052 6382317 7382636 7635466 8509756 8664078 11073954 11453199 12764634 12996117 15270932 16610931 17328156 19146951 22147908 22906398 25529268 25992234 33221862 34359597 38293902 45812796 51984468 66443724 68719194 76587804 137438388 278694509 557389018 836083527 1114778036 1672167054 2508250581 3344334108 5016501162 10033002324