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10100020110102 = 232131716671523077
BaseRepresentation
bin1001001011111001100000…
…0111000110001100010110
31022202112220202201021221200
42102332120013012030112
52310434320122010402
633251515111053330
72061462625300656
oct222763007061426
938675822637850
1010100020110102
11324443805513a
121171550371246
13583573b89520
1426cbb4b06366
15127ad0d0121c
hex92f981c6316

10100020110102 has 96 divisors (see below), whose sum is σ = 24967976054112. Its totient is φ = 2923136197632.

The previous prime is 10100020110091. The next prime is 10100020110139. The reversal of 10100020110102 is 20101102000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5869788 + ... + 7392864.

It is an arithmetic number, because the mean of its divisors is an integer number (260083083897).

Almost surely, 210100020110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100020110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483988027056).

10100020110102 is an abundant number, since it is smaller than the sum of its proper divisors (14867955944010).

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

10100020110102 is a wasteful number, since it uses less digits than its factorization.

10100020110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524782 (or 1524779 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100020110102 its reverse (20101102000101), we get a palindrome (30201122110203).

The spelling of 10100020110102 in words is "ten trillion, one hundred billion, twenty million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1667 1989 3334 3978 5001 10002 15003 21671 28339 30006 43342 56678 65013 85017 130026 170034 195039 255051 368407 390078 510102 736814 1105221 1523077 2210442 3046154 3315663 4569231 6631326 9138462 13707693 19800001 25892309 27415386 39600002 51784618 59400003 77676927 118800006 155353854 178200009 233030781 336600017 356400018 466061562 673200034 1009800051 2019600102 2538969359 3029400153 5077938718 6058800306 7616908077 15233816154 22850724231 33006601667 43162479103 45701448462 66013203334 86324958206 99019805001 129487437309 198039610002 258974874618 297059415003 388462311927 561112228339 594118830006 776924623854 1122224456678 1683336685017 3366673370034 5050010055051 10100020110102