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20010110112 = 2532618313723
BaseRepresentation
bin10010101000101100…
…100000110010100000
31220122112112220201100
4102220230200302200
5311440042010422
613105330034400
71305604062306
oct225054406240
956575486640
1020010110112
118539204993
123a65418a00
131b6b807655
14d7b798276
157c1ab67ac
hex4a8b20ca0

20010110112 has 144 divisors (see below), whose sum is σ = 58537690848. Its totient is φ = 6481175040.

The previous prime is 20010110047. The next prime is 20010110137. The reversal of 20010110112 is 21101101002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 20010110094 and 20010110103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451283 + ... + 1465005.

It is an arithmetic number, because the mean of its divisors is an integer number (406511742).

Almost surely, 220010110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29268845424).

20010110112 is an abundant number, since it is smaller than the sum of its proper divisors (38527580736).

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

20010110112 is a wasteful number, since it uses less digits than its factorization.

20010110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13883 (or 13872 counting only the distinct ones).

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

Adding to 20010110112 its reverse (21101101002), we get a palindrome (41111211114).

The spelling of 20010110112 in words is "twenty billion, ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 83 96 122 144 166 183 244 249 288 332 366 488 498 549 664 732 747 976 996 1098 1328 1464 1494 1952 1992 2196 2656 2928 2988 3984 4392 5063 5856 5976 7968 8784 10126 11952 13723 15189 17568 20252 23904 27446 30378 40504 41169 45567 54892 60756 81008 82338 91134 109784 121512 123507 162016 164676 182268 219568 243024 247014 329352 364536 439136 486048 494028 658704 729072 837103 988056 1139009 1317408 1458144 1674206 1976112 2278018 2511309 3348412 3417027 3952224 4556036 5022618 6696824 6834054 7533927 9112072 10045236 10251081 13393648 13668108 15067854 18224144 20090472 20502162 26787296 27336216 30135708 36448288 40180944 41004324 54672432 60271416 69479549 80361888 82008648 109344864 120542832 138959098 164017296 208438647 241085664 277918196 328034592 416877294 555836392 625315941 833754588 1111672784 1250631882 1667509176 2223345568 2501263764 3335018352 5002527528 6670036704 10005055056 20010110112