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1112111020100 = 2252171317276869
BaseRepresentation
bin10000001011101110111…
…110110111100001000100
310221022112221002100000202
4100023232332313201010
5121210100410120400
62210521410430032
7143230101462023
oct20135676674104
93838487070022
101112111020100
11399709750713
1215b64b892318
1380b43c41562
143bb7db448ba
151ddddd514d5
hex102eefb7844

1112111020100 has 144 divisors (see below), whose sum is σ = 2578661205120. Its totient is φ = 414849177600.

The previous prime is 1112111020067. The next prime is 1112111020109. The reversal of 1112111020100 is 10201112111.

It is not an unprimeable number, because it can be changed into a prime (1112111020109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161899466 + ... + 161906334.

It is an arithmetic number, because the mean of its divisors is an integer number (17907369480).

Almost surely, 21112111020100 is an apocalyptic number.

1112111020100 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 1112111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289330602560).

1112111020100 is an abundant number, since it is smaller than the sum of its proper divisors (1466550185020).

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

1112111020100 is a wasteful number, since it uses less digits than its factorization.

1112111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7758 (or 7751 counting only the distinct ones).

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

Adding to 1112111020100 its reverse (10201112111), we get a palindrome (1122312132211).

It can be divided in two parts, 111211 and 1020100, that added together give a palindrome (1131311).

The spelling of 1112111020100 in words is "one trillion, one hundred twelve billion, one hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 131 170 262 340 425 524 655 727 850 1310 1454 1700 2227 2620 2908 3275 3635 4454 6550 6869 7270 8908 11135 12359 13100 13738 14540 18175 22270 24718 27476 34345 36350 44540 49436 55675 61795 68690 72700 95237 111350 116773 123590 137380 171725 190474 222700 233546 247180 308975 343450 380948 467092 476185 583865 617950 686900 899839 952370 1167730 1235900 1619029 1799678 1904740 2335460 2380925 2919325 3238058 3599356 4499195 4761850 4993763 5838650 6476116 8095145 8998390 9523700 9987526 11677300 15297263 16190290 17996780 19975052 22495975 24968815 30594526 32380580 40475725 44991950 49937630 61189052 76486315 80951450 84893971 89983900 99875260 124844075 152972630 161902900 169787942 249688150 305945260 339575884 382431575 424469855 499376300 654182953 764863150 848939710 1308365906 1529726300 1697879420 2122349275 2616731812 3270914765 4244698550 6541829530 8489397100 11121110201 13083659060 16354573825 22242220402 32709147650 44484440804 55605551005 65418295300 111211102010 222422204020 278027755025 556055510050 1112111020100