Search a number
-
+
10241110122320 = 2457111662517877
BaseRepresentation
bin1001010100000111000110…
…1110110001111101010000
31100021001002120110112100202
42111001301232301331100
52320242243142403240
633440411231434332
72104616153514320
oct225016156617520
940231076415322
1010241110122320
113299259751620
1211949670859a8
1359396a51305c
1427595add3280
1512b5dc584315
hex95071bb1f50

10241110122320 has 80 divisors (see below), whose sum is σ = 29685919229568. Its totient is φ = 3192034321920.

The previous prime is 10241110122319. The next prime is 10241110122349. The reversal of 10241110122320 is 2322101114201.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 10241110122292 and 10241110122301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831252779 + ... + 831265098.

Almost surely, 210241110122320 is an apocalyptic number.

10241110122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241110122320 is an abundant number, since it is smaller than the sum of its proper divisors (19444809107248).

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

10241110122320 is a wasteful number, since it uses less digits than its factorization.

10241110122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662517908 (or 1662517902 counting only the distinct ones).

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

Adding to 10241110122320 its reverse (2322101114201), we get a palindrome (12563211236521).

The spelling of 10241110122320 in words is "ten trillion, two hundred forty-one billion, one hundred ten million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 1662517877 3325035754 6650071508 8312589385 11637625139 13300143016 16625178770 18287696647 23275250278 26600286032 33250357540 36575393294 46550500556 58188125695 66500715080 73150786588 91438483235 93101001112 116376251390 128013876529 133001430160 146301573176 182876966470 186202002224 232752502780 256027753058 292603146352 365753932940 465505005560 512055506116 640069382645 731507865880 931010011120 1024111012232 1280138765290 1463015731760 2048222024464 2560277530580 5120555061160 10241110122320