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10131024000111 = 37211313917532503
BaseRepresentation
bin1001001101101101000000…
…0101100011010001101111
31022212111221111000002112020
42103123100011203101233
52311441314121000421
633314043404041223
72063641135101600
oct223332005432157
938774844002466
1010131024000111
1132565a7a29633
121177563533213
13586475221281
142704b65d1da7
151287e7b28dc6
hex936d016346f

10131024000111 has 96 divisors (see below), whose sum is σ = 15982019182080. Its totient is φ = 5691120777216.

The previous prime is 10131024000107. The next prime is 10131024000127. The reversal of 10131024000111 is 11100042013101.

It is not a de Polignac number, because 10131024000111 - 22 = 10131024000107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131024000161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4047551286 + ... + 4047553788.

It is an arithmetic number, because the mean of its divisors is an integer number (166479366480).

Almost surely, 210131024000111 is an apocalyptic number.

10131024000111 is a deficient number, since it is larger than the sum of its proper divisors (5850995181969).

10131024000111 is a wasteful number, since it uses less digits than its factorization.

10131024000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10131024000111 its reverse (11100042013101), we get a palindrome (21231066013212).

The spelling of 10131024000111 in words is "ten trillion, one hundred thirty-one billion, twenty-four million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 7 21 49 113 139 147 339 417 791 973 1753 2373 2503 2919 5259 5537 6811 7509 12271 15707 16611 17521 20433 36813 47121 52563 85897 109949 122647 198089 243667 257691 282839 329847 347917 367941 594267 731001 769643 848517 1043751 1386623 1705669 1979873 2308929 2435419 4159869 4387759 5117007 5939619 7306257 9706361 11939683 13163277 13859111 17047933 27534371 29119083 30714313 35819049 39314621 41577333 51143799 82603113 92142939 117943863 192740597 215000191 275202347 495816767 578221791 609898501 645000573 825607041 1349184179 1487450301 1829695503 1926416429 3470717369 4047552537 4269289507 5779249287 10412152107 12807868521 24295021583 29885026549 68918530613 72885064749 89655079647 206755591839 482429714291 1447289142873 3377008000037 10131024000111