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10412011421300 = 22524712775123227
BaseRepresentation
bin1001011110000011110000…
…1111011111111001110100
31100212101012222102001020202
42113200330033133321310
52331042244410440200
634051113443420032
72123146230551306
oct227407417377164
940771188361222
1010412011421300
113354789008a85
121201b01684618
135a6b050c9b38
1427dd30643976
15130c910b61d5
hex9783c3dfe74

10412011421300 has 144 divisors (see below), whose sum is σ = 23288450777088. Its totient is φ = 4038536880000.

The previous prime is 10412011421297. The next prime is 10412011421303. The reversal of 10412011421300 is 312411021401.

It is an interprime number because it is at equal distance from previous prime (10412011421297) and next prime (10412011421303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412011421303) 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, 448260287 + ... + 448283513.

Almost surely, 210412011421300 is an apocalyptic number.

10412011421300 is a gapful number since it is divisible by the number (10) 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 10412011421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644225388544).

10412011421300 is an abundant number, since it is smaller than the sum of its proper divisors (12876439355788).

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

10412011421300 is a wasteful number, since it uses less digits than its factorization.

10412011421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24166 (or 24159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10412011421300 its reverse (312411021401), we get a palindrome (10724422442701).

The spelling of 10412011421300 in words is "ten trillion, four hundred twelve billion, eleven million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 127 188 235 254 470 508 635 751 940 1175 1270 1502 2350 2540 3004 3175 3755 4700 5969 6350 7510 11938 12700 15020 18775 23227 23876 29845 35297 37550 46454 59690 70594 75100 92908 95377 116135 119380 141188 149225 176485 190754 232270 298450 352970 381508 464540 476885 580675 596900 705940 882425 953770 1091669 1161350 1764850 1907540 2183338 2322700 2384425 2949829 3529700 4366676 4482719 4768850 5458345 5899658 8965438 9537700 10916690 11799316 14749145 17443477 17930876 21833380 22413595 27291725 29498290 34886954 44827190 54583450 58996580 69773908 73745725 87217385 89654380 109166900 112067975 138641963 147491450 174434770 224135950 277283926 294982900 348869540 436086925 448271900 554567852 693209815 819843419 872173850 1386419630 1639686838 1744347700 2215321579 2772839260 3279373676 3466049075 4099217095 4430643158 6932098150 8198434190 8861286316 11076607895 13864196300 16396868380 20496085475 22153215790 40992170950 44306431580 55383039475 81984341900 104120114213 110766078950 208240228426 221532157900 416480456852 520600571065 1041201142130 2082402284260 2603002855325 5206005710650 10412011421300