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10021310101231 = 111319411272832503
BaseRepresentation
bin1001000111010100010010…
…1000001111011011101111
31022111000202022221120002221
42101311010220033123233
52303142120341214411
633151420514300211
72053005256252312
oct221650450173357
938430668846087
1010021310101231
11321401732a530
12115a244587667
1357900c096a90
14269069404979
15125a25be7071
hex91d44a0f6ef

10021310101231 has 128 divisors (see below), whose sum is σ = 12845505576960. Its totient is φ = 7681051929600.

The previous prime is 10021310101217. The next prime is 10021310101237. The reversal of 10021310101231 is 13210101312001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10021310101231 - 25 = 10021310101199 is a prime.

It is a super-2 number, since 2×100213101012312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021310101237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4003718326 + ... + 4003720828.

It is an arithmetic number, because the mean of its divisors is an integer number (100355512320).

Almost surely, 210021310101231 is an apocalyptic number.

10021310101231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021310101231 is a deficient number, since it is larger than the sum of its proper divisors (2824195475729).

10021310101231 is a wasteful number, since it uses less digits than its factorization.

10021310101231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10021310101231 its reverse (13210101312001), we get a palindrome (23231411413232).

The spelling of 10021310101231 in words is "ten trillion, twenty-one billion, three hundred ten million, one hundred one thousand, two hundred thirty-one".

Divisors: 1 11 13 19 41 127 143 209 247 283 451 533 779 1397 1651 2413 2503 2717 3113 3679 5207 5377 5863 8569 10127 11603 18161 26543 27533 31369 32539 35941 40469 47557 57277 59147 67691 69901 98933 102623 111397 127633 150839 220457 317881 345059 357929 395351 467233 523127 618241 682879 708349 744601 768911 1088263 1128853 1286129 1334099 1473581 1659229 1949837 2425027 2865941 3496691 4132453 5139563 6039739 6800651 7511669 7791839 8877427 9208537 13033121 13458631 14147419 14675089 16209391 19156553 21448207 25347881 27998039 29042309 31525351 45456983 66437129 78516607 89960323 97651697 101293907 143364331 148044941 169430573 174962203 210722083 247629299 278826691 307978429 319465399 363974507 377550017 551803871 863682677 989563553 1169484199 1709246137 1863736303 1924584233 2723922289 3219180887 3688373243 4003719577 4153050187 6069842581 7173450323 12864326189 18801707507 22220199781 35410989757 40572105673 47948852159 70079091617 78907953553 244422197591 527437373749 770870007787 911028191021 10021310101231