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1112011201000 = 23537971637719
BaseRepresentation
bin10000001011101001000…
…010000101100111101000
310221022021222020222222001
4100023221002011213220
5121204344331413000
62210503443140344
7143224450152160
oct20135102054750
93838258228861
101112011201000
11399668373097
1215b6223746b4
1380b293621bb
143bb7079d5a0
151ddd51d546a
hex102e90859e8

1112011201000 has 128 divisors (see below), whose sum is σ = 3004495603200. Its totient is φ = 377330227200.

The previous prime is 1112011200997. The next prime is 1112011201003. The reversal of 1112011201000 is 1021102111.

It is an interprime number because it is at equal distance from previous prime (1112011200997) and next prime (1112011201003).

It is a super-2 number, since 2×11120112010002 (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 not an unprimeable number, because it can be changed into a prime (1112011201003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139860 + ... + 1497859.

It is an arithmetic number, because the mean of its divisors is an integer number (23472621900).

Almost surely, 21112011201000 is an apocalyptic number.

1112011201000 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 1112011201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502247801600).

1112011201000 is an abundant number, since it is smaller than the sum of its proper divisors (1892484402200).

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

1112011201000 is a wasteful number, since it uses less digits than its factorization.

1112011201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637844 (or 1637830 counting only the distinct ones).

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

Adding to 1112011201000 its reverse (1021102111), we get a palindrome (1113032303111).

The spelling of 1112011201000 in words is "one trillion, one hundred twelve billion, eleven million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 125 140 175 194 200 250 280 350 388 485 500 679 700 776 875 970 1000 1358 1400 1750 1940 2425 2716 3395 3500 3880 4850 5432 6790 7000 9700 12125 13580 16975 19400 24250 27160 33950 48500 67900 84875 97000 135800 169750 339500 679000 1637719 3275438 6550876 8188595 11464033 13101752 16377190 22928066 32754380 40942975 45856132 57320165 65508760 81885950 91712264 114640330 158858743 163771900 204714875 229280660 286600825 317717486 327543800 409429750 458561320 573201650 635434972 794293715 818859500 1112011201 1146403300 1270869944 1433004125 1588587430 1637719000 2224022402 2292806600 2866008250 3177174860 3971468575 4448044804 5560056005 5732016500 6354349720 7942937150 8896089608 11120112010 11464033000 15885874300 19857342875 22240224020 27800280025 31771748600 39714685750 44480448040 55600560050 79429371500 111201120100 139001400125 158858743000 222402240200 278002800250 556005600500 1112011201000