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2044032431100 = 22352113971560211
BaseRepresentation
bin11101101111101001110…
…100111011001111111100
321020102000010122010000120
4131233221310323033330
5231442134300243400
64203003204454540
7300451012664532
oct35575164731774
97212003563016
102044032431100
11718962024010
122901923aa450
1311a99cb81a2a
1470d08814152
15382839e3ca0
hex1dbe9d3b3fc

2044032431100 has 144 divisors (see below), whose sum is σ = 6467964940416. Its totient is φ = 494274528000.

The previous prime is 2044032431087. The next prime is 2044032431101. The reversal of 2044032431100 is 11342304402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044032431101) 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, 529995 + ... + 2090205.

Almost surely, 22044032431100 is an apocalyptic number.

2044032431100 is a gapful number since it is divisible by the number (20) 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 2044032431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233982470208).

2044032431100 is an abundant number, since it is smaller than the sum of its proper divisors (4423932509316).

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

2044032431100 is a wasteful number, since it uses less digits than its factorization.

2044032431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560636 (or 1560629 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2044032431100 its reverse (11342304402), we get a palindrome (2055374735502).

The spelling of 2044032431100 in words is "two trillion, forty-four billion, thirty-two million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 397 550 660 794 825 1100 1191 1588 1650 1985 2382 3300 3970 4367 4764 5955 7940 8734 9925 11910 13101 17468 19850 21835 23820 26202 29775 39700 43670 52404 59550 65505 87340 109175 119100 131010 218350 262020 327525 436700 655050 1310100 1560211 3120422 4680633 6240844 7801055 9361266 15602110 17162321 18722532 23403165 31204220 34324642 39005275 46806330 51486963 68649284 78010550 85811605 93612660 102973926 117015825 156021100 171623210 205947852 234031650 257434815 343246420 429058025 468063300 514869630 619403767 858116050 1029739260 1238807534 1287174075 1716232100 1858211301 2477615068 2574348150 3097018835 3716422602 5148696300 6194037670 6813441437 7432845204 9291056505 12388075340 13626882874 15485094175 18582113010 20440324311 27253765748 30970188350 34067207185 37164226020 40880648622 46455282525 61940376700 68134414370 81761297244 92910565050 102201621555 136268828740 170336035925 185821130100 204403243110 340672071850 408806486220 511008107775 681344143700 1022016215550 2044032431100