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10214403012 = 2232111710191489
BaseRepresentation
bin10011000001101001…
…10110101111000100
3222100212012102202200
421200310312233010
5131404341344022
64405322034500
7511056664422
oct114064665704
928325172680
1010214403012
114371845190
121b90948a30
13c6a248468
146cc814112
153ebb0ebac
hex260d36bc4

10214403012 has 144 divisors (see below), whose sum is σ = 29873188800. Its totient is φ = 2908385280.

The previous prime is 10214402999. The next prime is 10214403013. The reversal of 10214403012 is 21030441201.

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

It is not an unprimeable number, because it can be changed into a prime (10214403013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6859164 + ... + 6860652.

It is an arithmetic number, because the mean of its divisors is an integer number (207452700).

Almost surely, 210214403012 is an apocalyptic number.

10214403012 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 10214403012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936594400).

10214403012 is an abundant number, since it is smaller than the sum of its proper divisors (19658785788).

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

10214403012 is a wasteful number, since it uses less digits than its factorization.

10214403012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10214403012 its reverse (21030441201), we get a palindrome (31244844213).

The spelling of 10214403012 in words is "ten billion, two hundred fourteen million, four hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1019 1122 1489 1683 2038 2244 2978 3057 3366 4076 4467 5956 6114 6732 8934 9171 11209 12228 13401 16379 17323 17868 18342 22418 25313 26802 32758 33627 34646 36684 44836 49137 50626 51969 53604 65516 67254 69292 75939 98274 100881 101252 103938 134508 147411 151878 155907 190553 196548 201762 207876 227817 278443 294822 303756 311814 381106 403524 455634 556886 571659 589644 623628 762212 835329 911268 1113772 1143318 1517291 1670658 1714977 2286636 2505987 3034582 3341316 3429954 4551873 5011974 6069164 6859908 9103746 10023948 13655619 16690201 18207492 25793947 27311238 33380402 50070603 51587894 54622476 66760804 77381841 100141206 103175788 150211809 154763682 200282412 232145523 283733417 300423618 309527364 464291046 567466834 600847236 851200251 928582092 1134933668 1702400502 2553600753 3404801004 5107201506 10214403012