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1044004031100 = 2232527914683601
BaseRepresentation
bin11110011000100110111…
…11010100101001111100
310200210202102202211001200
433030103133110221330
5114101110012443400
62115335301335500
7135266251562622
oct17142337245174
93623672684050
101044004031100
1137283a070848
1214a402a07590
13775aba51574
143875c6d7512
151c254a1cb00
hexf3137d4a7c

1044004031100 has 108 divisors (see below), whose sum is σ = 3313795299360. Its totient is φ = 274876992000.

The previous prime is 1044004031069. The next prime is 1044004031107. The reversal of 1044004031100 is 11304004401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044004031107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7270701 + ... + 7412900.

Almost surely, 21044004031100 is an apocalyptic number.

1044004031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1044004031100 is an abundant number, since it is smaller than the sum of its proper divisors (2269791268260).

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

1044004031100 is a wasteful number, since it uses less digits than its factorization.

1044004031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14683700 (or 14683690 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1044004031100 its reverse (11304004401), we get a palindrome (1055308035501).

The spelling of 1044004031100 in words is "one trillion, forty-four billion, four million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 79 90 100 150 158 180 225 237 300 316 395 450 474 711 790 900 948 1185 1422 1580 1975 2370 2844 3555 3950 4740 5925 7110 7900 11850 14220 17775 23700 35550 71100 14683601 29367202 44050803 58734404 73418005 88101606 132152409 146836010 176203212 220254015 264304818 293672020 367090025 440508030 528609636 660762045 734180050 881016060 1101270075 1160004479 1321524090 1468360100 2202540150 2320008958 2643048180 3303810225 3480013437 4405080300 4640017916 5800022395 6607620450 6960026874 10440040311 11600044790 13215240900 13920053748 17400067185 20880080622 23200089580 29000111975 34800134370 41760161244 52200201555 58000223950 69600268740 87000335925 104400403110 116000447900 174000671850 208800806220 261001007775 348001343700 522002015550 1044004031100