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1031044240100 = 225277320176991
BaseRepresentation
bin11110000000011110000…
…01101001001011100100
310122120022020122012222102
433000033001221023210
5113343034311140400
62105353304151232
7134330144303450
oct17001701511344
93576266565872
101031044240100
11368299659a76
121479a6768518
13762c4aba594
1437c8d437660
151bc46dae9d5
hexf00f0692e4

1031044240100 has 72 divisors (see below), whose sum is σ = 2592017100288. Its totient is φ = 348658387200.

The previous prime is 1031044240081. The next prime is 1031044240117. The reversal of 1031044240100 is 10424401301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10037396 + ... + 10139595.

It is an arithmetic number, because the mean of its divisors is an integer number (36000237504).

Almost surely, 21031044240100 is an apocalyptic number.

1031044240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031044240100 is an abundant number, since it is smaller than the sum of its proper divisors (1560972860188).

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

1031044240100 is a wasteful number, since it uses less digits than its factorization.

1031044240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20177085 (or 20177078 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1031044240100 its reverse (10424401301), we get a palindrome (1041468641401).

The spelling of 1031044240100 in words is "one trillion, thirty-one billion, forty-four million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 700 730 1022 1460 1825 2044 2555 3650 5110 7300 10220 12775 25550 51100 20176991 40353982 80707964 100884955 141238937 201769910 282477874 403539820 504424775 564955748 706194685 1008849550 1412389370 1472920343 2017699100 2824778740 2945840686 3530973425 5891681372 7061946850 7364601715 10310442401 14123893700 14729203430 20620884802 29458406860 36823008575 41241769604 51552212005 73646017150 103104424010 147292034300 206208848020 257761060025 515522120050 1031044240100