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2043141100 = 22527111320411
BaseRepresentation
bin111100111000111…
…1101101111101100
312021101112022200121
41321301331233230
513141021003400
6534423334324
7101426261410
oct17161755754
95241468617
102043141100
11959333170
124902b13a4
132673a0840
141554c8d40
15be58521a
hex79c7dbec

2043141100 has 144 divisors (see below), whose sum is σ = 5953118976. Its totient is φ = 587808000.

The previous prime is 2043141097. The next prime is 2043141101. The reversal of 2043141100 is 11413402.

It is not an unprimeable number, because it can be changed into a prime (2043141101) 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, 89895 + ... + 110305.

It is an arithmetic number, because the mean of its divisors is an integer number (41341104).

Almost surely, 22043141100 is an apocalyptic number.

2043141100 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 2043141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976559488).

2043141100 is an abundant number, since it is smaller than the sum of its proper divisors (3909977876).

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

2043141100 is a wasteful number, since it uses less digits than its factorization.

2043141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20456 (or 20449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2043141100 is about 45201.1183489966. The cubic root of 2043141100 is about 1268.9157464229.

Adding to 2043141100 its reverse (11413402), we get a palindrome (2054554502).

The spelling of 2043141100 in words is "two billion, forty-three million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 20411 25025 40822 50050 81644 100100 102055 142877 204110 224521 265343 285754 408220 449042 510275 530686 571508 714385 898084 1020550 1061372 1122605 1326715 1428770 1571647 1857401 2041100 2245210 2653430 2857540 2918773 3143294 3571925 3714802 4490420 5306860 5613025 5837546 6286588 6633575 7143850 7429604 7858235 9287005 11226050 11675092 13267150 14287700 14593865 15716470 18574010 20431411 22452100 26534300 29187730 31432940 37148020 39291175 40862822 46435025 58375460 72969325 78582350 81725644 92870050 102157055 145938650 157164700 185740100 204314110 291877300 408628220 510785275 1021570550 2043141100