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10310021040441 = 31923191193213337
BaseRepresentation
bin1001011000000111110100…
…1001000100100100111001
31100111121222002111212202110
42112001331021010210321
52322404410341243231
633532205215522533
72112605634613203
oct226017511044471
940447862455673
1010310021040441
113315501106321
1211a6199229449
1359a300130455
1427901710d773
1512d2c2269046
hex9607d244939

10310021040441 has 64 divisors (see below), whose sum is σ = 15257114542080. Its totient is φ = 6163737845760.

The previous prime is 10310021040421. The next prime is 10310021040461. The reversal of 10310021040441 is 14404012001301.

It is an interprime number because it is at equal distance from previous prime (10310021040421) and next prime (10310021040461).

It is not a de Polignac number, because 10310021040441 - 211 = 10310021038393 is a prime.

It is a super-2 number, since 2×103100210404412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10310021040421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48220725 + ... + 48434061.

It is an arithmetic number, because the mean of its divisors is an integer number (238392414720).

Almost surely, 210310021040441 is an apocalyptic number.

It is an amenable number.

10310021040441 is a deficient number, since it is larger than the sum of its proper divisors (4947093501639).

10310021040441 is a wasteful number, since it uses less digits than its factorization.

10310021040441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213766.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10310021040441 its reverse (14404012001301), we get a palindrome (24714033041742).

The spelling of 10310021040441 in words is "ten trillion, three hundred ten billion, twenty-one million, forty thousand, four hundred forty-one".

Divisors: 1 3 19 23 57 69 191 193 437 573 579 1311 3629 3667 4393 4439 10887 11001 13179 13317 36863 83467 84341 110589 213337 250401 253023 640011 700397 847849 2101191 2543547 4053403 4906751 12160209 14720253 16109131 40747367 41174041 48327393 93228269 122242101 123522123 279684807 774199973 782306779 937189441 947002943 2322599919 2346920337 2811568323 2841008829 7864241831 17806599379 17993055917 23592725493 53419798137 53979167751 149420594789 180877562113 448261784367 542632686339 3436673680147 10310021040441