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10302234475544 = 23117910716384967
BaseRepresentation
bin1001010111101010110100…
…0001101011110000011000
31100110212212102201101202222
42111322231001223300120
52322242434011204134
633524440422443212
72112211655114624
oct225725501536030
940425772641688
1010302234475544
113312175867920
1211a4785593508
1359965bb998bb
142788b8d24184
1512ceb887da2e
hex95ead06bc18

10302234475544 has 128 divisors (see below), whose sum is σ = 21671326310400. Its totient is φ = 4552192794240.

The previous prime is 10302234475499. The next prime is 10302234475573. The reversal of 10302234475544 is 44557443220301.

It is a happy number.

It is a super-2 number, since 2×103022344755442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 10302234475495 and 10302234475504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121207349 + ... + 121292315.

It is an arithmetic number, because the mean of its divisors is an integer number (169307236800).

Almost surely, 210302234475544 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 10302234475544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835663155200).

10302234475544 is an abundant number, since it is smaller than the sum of its proper divisors (11369091834856).

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

10302234475544 is a wasteful number, since it uses less digits than its factorization.

10302234475544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85333 (or 85329 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 44.

Adding to 10302234475544 its reverse (44557443220301), we get a palindrome (54859677695845).

The spelling of 10302234475544 in words is "ten trillion, three hundred two billion, two hundred thirty-four million, four hundred seventy-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 79 88 107 158 163 214 316 326 428 632 652 856 869 1177 1304 1738 1793 2354 3476 3586 4708 6952 7172 8453 9416 12877 14344 16906 17441 25754 33812 34882 51508 67624 69764 84967 92983 103016 139528 141647 169934 185966 191851 283294 339868 371932 383702 566588 679736 743864 767404 934637 1133176 1377839 1534808 1869274 2755678 3738548 5511356 6712393 7477096 9091469 11022712 13424786 13849621 15156229 18182938 26849572 27699242 30312458 36365876 53699144 55398484 60624916 72731752 73836323 100006159 110796968 121249832 147672646 152345831 200012318 295345292 304691662 400024636 590690584 609383324 718226051 800049272 1094120059 1218766648 1436452102 1481909447 2188240118 2872904204 2963818894 4376480236 5745808408 5927637788 7900486561 8752960472 11855275576 12035320649 15800973122 16301003917 24070641298 31601946244 32602007834 48141282596 63203892488 65204015668 96282565192 117070846313 130408031336 234141692626 468283385252 936566770504 1287779309443 2575558618886 5151117237772 10302234475544