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110011002010112 = 297434889146009
BaseRepresentation
bin11001000000110111101110…
…101100100011101000000000
3112102111221121212202210201002
4121000313232230203220000
5103404410013003310422
61025550205011031132
732113014120204020
oct3100675654435000
9472457555683632
10110011002010112
1132064449721235
1210408a51b9b4a8
13494ccba750a08
141d247bd1b5a80
15cab98a54c692
hex640deeb23a00

110011002010112 has 160 divisors (see below), whose sum is σ = 257104546934400. Its totient is φ = 46041382453248.

The previous prime is 110011002010067. The next prime is 110011002010157. The reversal of 110011002010112 is 211010200110011.

It is an interprime number because it is at equal distance from previous prime (110011002010067) and next prime (110011002010157).

It is a junction number, because it is equal to n+sod(n) for n = 110011002010093 and 110011002010102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753380564 + ... + 753526572.

It is an arithmetic number, because the mean of its divisors is an integer number (1606903418340).

Almost surely, 2110011002010112 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 110011002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128552273467200).

110011002010112 is an abundant number, since it is smaller than the sum of its proper divisors (147093544924288).

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

110011002010112 is an equidigital number, since it uses as much as digits as its factorization.

110011002010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150966 (or 150950 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110011002010112 its reverse (211010200110011), we get a palindrome (321021202120123).

The spelling of 110011002010112 in words is "one hundred ten trillion, eleven billion, two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 512 602 688 896 1204 1376 1792 2408 2752 3584 4816 4889 5504 9632 9778 11008 19264 19556 22016 34223 38528 39112 68446 77056 78224 136892 146009 154112 156448 210227 273784 292018 312896 420454 547568 584036 625792 840908 1022063 1095136 1168072 1251584 1471589 1681816 2044126 2190272 2336144 2503168 2943178 3363632 4088252 4380544 4672288 5886356 6278387 6727264 8176504 8761088 9344576 11772712 12556774 13454528 16353008 17522176 18689152 23545424 25113548 26909056 32706016 37378304 43948709 47090848 50227096 53818112 65412032 74756608 87897418 94181696 100454192 107636224 130824064 175794836 188363392 200908384 261648128 351589672 376726784 401816768 523296256 703179344 713838001 753453568 803633536 1406358688 1427676002 1607267072 2812717376 2855352004 3214534144 4996866007 5625434752 5710704008 9993732014 11250869504 11421408016 19987464028 22501739008 22842816032 30695034043 39974928056 45685632064 61390068086 79949856112 91371264128 122780136172 159899712224 182742528256 214865238301 245560272344 319799424448 365485056512 429730476602 491120544688 639598848896 859460953204 982241089376 1279197697792 1718921906408 1964482178752 2558395395584 3437843812816 3928964357504 6875687625632 7857928715008 13751375251264 15715857430016 27502750502528 55005501005056 110011002010112