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10101110120000 = 26542411047833
BaseRepresentation
bin1001001011111101100100…
…0101001001111001000000
31022202122201201202112102122
42102333121011021321000
52310444033142320000
633252215205503412
72061531632235254
oct222773105117100
938678651675378
1010101110120000
113244947366769
1211717b5411b68
135836b894ccb3
1426cc797a4264
15127b46862085
hex92fd9149e40

10101110120000 has 140 divisors (see below), whose sum is σ = 25151425651836. Its totient is φ = 4023674880000.

The previous prime is 10101110119967. The next prime is 10101110120021. The reversal of 10101110120000 is 2101110101.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 4925594319424 + 5175515800576 = 2219368^2 + 2274976^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10101110120000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9116084 + ... + 10163916.

Almost surely, 210101110120000 is an apocalyptic number.

10101110120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12575712825918).

10101110120000 is an abundant number, since it is smaller than the sum of its proper divisors (15050315531836).

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

10101110120000 is an equidigital number, since it uses as much as digits as its factorization.

10101110120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048106 (or 1048081 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10101110120000 its reverse (2101110101), we get a palindrome (10103211230101).

The spelling of 10101110120000 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 241 250 320 400 482 500 625 800 964 1000 1205 1250 1600 1928 2000 2410 2500 3856 4000 4820 5000 6025 7712 8000 9640 10000 12050 15424 19280 20000 24100 30125 38560 40000 48200 60250 77120 96400 120500 150625 192800 241000 301250 385600 482000 602500 964000 1047833 1205000 1928000 2095666 2410000 4191332 4820000 5239165 8382664 9640000 10478330 16765328 20956660 26195825 33530656 41913320 52391650 67061312 83826640 104783300 130979125 167653280 209566600 252527753 261958250 335306560 419133200 505055506 523916500 654895625 838266400 1010111012 1047833000 1262638765 1309791250 1676532800 2020222024 2095666000 2525277530 2619582500 4040444048 4191332000 5050555060 5239165000 6313193825 8080888096 8382664000 10101110120 10478330000 12626387650 16161776192 20202220240 20956660000 25252775300 31565969125 40404440480 41913320000 50505550600 63131938250 80808880960 101011101200 126263876500 157829845625 202022202400 252527753000 315659691250 404044404800 505055506000 631319382500 1010111012000 1262638765000 2020222024000 2525277530000 5050555060000 10101110120000