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10413124213050 = 2345213197780137
BaseRepresentation
bin1001011110000111111010…
…0100011101100100111010
31100212111002112022201120000
42113201332210131210322
52331102034244304200
634051420114413430
72123215632252156
oct227417644354472
940774075281500
1010413124213050
1133551aa16a989
121202172291276
135a6c51808cb0
1427ddd8352066
15130d08b27300
hex9787e91d93a

10413124213050 has 120 divisors (see below), whose sum is σ = 31158678500796. Its totient is φ = 2563230562560.

The previous prime is 10413124213027. The next prime is 10413124213073. The reversal of 10413124213050 is 5031242131401.

10413124213050 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 312 + 42 + 1 + 305 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10413124213027) and next prime (10413124213073).

It can be written as a sum of positive squares in 6 ways, for example, as 300285368289 + 10112838844761 = 547983^2 + 3180069^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 98837419 + ... + 98942718.

Almost surely, 210413124213050 is an apocalyptic number.

10413124213050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10413124213050 is an abundant number, since it is smaller than the sum of its proper divisors (20745554287746).

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

10413124213050 is a wasteful number, since it uses less digits than its factorization.

10413124213050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197780174 (or 197780160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10413124213050 its reverse (5031242131401), we get a palindrome (15444366344451).

The spelling of 10413124213050 in words is "ten trillion, four hundred thirteen billion, one hundred twenty-four million, two hundred thirteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 270 325 351 390 405 450 585 650 675 702 810 975 1053 1170 1350 1755 1950 2025 2106 2925 3510 4050 5265 5850 8775 10530 17550 26325 52650 197780137 395560274 593340411 988900685 1186680822 1780021233 1977801370 2571141781 2966702055 3560042466 4944503425 5142283562 5340063699 5933404110 7713425343 8900106165 9889006850 10680127398 12855708905 14833510275 15426850686 16020191097 17800212330 23140276029 25711417810 26700318495 29667020550 32040382194 38567126715 44500530825 46280552058 53400636990 64278544525 69420828087 77134253430 80100955485 89001061650 115701380145 128557089050 133501592475 138841656174 160201910970 192835633575 208262484261 231402760290 267003184950 347104140435 385671267150 400504777425 416524968522 578506900725 694208280870 801009554850 1041312421305 1157013801450 1735520702175 2082624842610 3471041404350 5206562106525 10413124213050