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1112120101000 = 235329357110739
BaseRepresentation
bin10000001011101111100…
…001100000100010001000
310221022120120011200200101
4100023233201200202020
5121210110221213000
62210522333215144
7143230241612656
oct20135741404210
93838516150611
101112120101000
11399713893297
1215b6529314b4
1380b45aa097c
143bb81029dd6
151dddea46e6a
hex102ef860888

1112120101000 has 128 divisors (see below), whose sum is σ = 2693102256000. Its totient is φ = 429348192000.

The previous prime is 1112120100991. The next prime is 1112120101021. The reversal of 1112120101000 is 1010212111.

It is a super-2 number, since 2×11121201010002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103553631 + ... + 103564369.

It is an arithmetic number, because the mean of its divisors is an integer number (21039861375).

Almost surely, 21112120101000 is an apocalyptic number.

1112120101000 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 1112120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346551128000).

1112120101000 is an abundant number, since it is smaller than the sum of its proper divisors (1580982155000).

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

1112120101000 is a wasteful number, since it uses less digits than its factorization.

1112120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14360 (or 14346 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1112120101000 its reverse (1010212111), we get a palindrome (1113130313111).

The spelling of 1112120101000 in words is "one trillion, one hundred twelve billion, one hundred twenty million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3571 3625 5800 7142 7250 10739 14284 14500 17855 21478 28568 29000 35710 42956 53695 71420 85912 89275 103559 107390 142840 178550 207118 214780 268475 311431 357100 414236 429560 446375 517795 536950 622862 714200 828472 892750 1035590 1073900 1245724 1342375 1557155 1785500 2071180 2147800 2491448 2588975 2684750 3114310 3571000 4142360 5177950 5369500 6228620 7785775 10355900 10739000 12457240 12944875 15571550 20711800 25889750 31143100 38348969 38928875 51779500 62286200 76697938 77857750 103559000 153395876 155715500 191744845 306791752 311431000 383489690 766979380 958724225 1112120101 1533958760 1917448450 2224240202 3834896900 4448480404 4793621125 5560600505 7669793800 8896960808 9587242250 11121201010 19174484500 22242402020 27803002525 38348969000 44484804040 55606005050 111212010100 139015012625 222424020200 278030025250 556060050500 1112120101000