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1120312230100 = 2252721801126949
BaseRepresentation
bin10000010011010111110…
…100000000000011010100
310222002201111002222011021
4100103113310000003110
5121323344412330400
62214355255050524
7143640244556200
oct20232764000324
93862644088137
101120312230100
113a2138058118
1216115a370a44
138185007363b
143c31b027b00
151e21dd4471a
hex104d7d000d4

1120312230100 has 108 divisors (see below), whose sum is σ = 2829580679100. Its totient is φ = 383890752000.

The previous prime is 1120312230091. The next prime is 1120312230127. The reversal of 1120312230100 is 10322130211.

It can be written as a sum of positive squares in 6 ways, for example, as 333894442896 + 786417787204 = 577836^2 + 886802^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8761426 + ... + 8888374.

Almost surely, 21120312230100 is an apocalyptic number.

1120312230100 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 1120312230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414790339550).

1120312230100 is an abundant number, since it is smaller than the sum of its proper divisors (1709268449000).

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

1120312230100 is a wasteful number, since it uses less digits than its factorization.

1120312230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128778 (or 128764 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1120312230100 its reverse (10322130211), we get a palindrome (1130634360311).

The spelling of 1120312230100 in words is "one trillion, one hundred twenty billion, three hundred twelve million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1801 2450 3602 4900 7204 9005 12607 18010 25214 36020 45025 50428 63035 88249 90050 126070 126949 176498 180100 252140 253898 315175 352996 441245 507796 630350 634745 882490 888643 1260700 1269490 1764980 1777286 2206225 2538980 3173725 3554572 4412450 4443215 6220501 6347450 8824900 8886430 12441002 12694900 17772860 22216075 24882004 31102505 44432150 62205010 88864300 124410020 155512525 228635149 311025050 457270298 622050100 914540596 1143175745 1600446043 2286351490 3200892086 4572702980 5715878725 6401784172 8002230215 11203122301 11431757450 16004460430 22406244602 22863514900 32008920860 40011151075 44812489204 56015611505 80022302150 112031223010 160044604300 224062446020 280078057525 560156115050 1120312230100