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1243540100 = 2252114767359
BaseRepresentation
bin100101000011110…
…1110101010000100
310012122221101022202
41022013232222010
510021321240400
6323221214032
742546626225
oct11207565204
93178841282
101243540100
11588a450a0
122a8561318
1316a82a45a
14bb22524c
157428b4d5
hex4a1eea84

1243540100 has 144 divisors (see below), whose sum is σ = 3059804160. Its totient is φ = 434755200.

The previous prime is 1243540087. The next prime is 1243540153. The reversal of 1243540100 is 10453421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3463721 + ... + 3464079.

It is an arithmetic number, because the mean of its divisors is an integer number (21248640).

Almost surely, 21243540100 is an apocalyptic number.

1243540100 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 1243540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529902080).

1243540100 is an abundant number, since it is smaller than the sum of its proper divisors (1816264060).

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

1243540100 is a wasteful number, since it uses less digits than its factorization.

1243540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1243540100 is about 35263.8639403001. The cubic root of 1243540100 is about 1075.3584814891.

Adding to 1243540100 its reverse (10453421), we get a palindrome (1253993521).

The spelling of 1243540100 in words is "one billion, two hundred forty-three million, five hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 67 94 100 110 134 188 220 235 268 275 335 359 470 517 550 670 718 737 940 1034 1100 1175 1340 1436 1474 1675 1795 2068 2350 2585 2948 3149 3350 3590 3685 3949 4700 5170 6298 6700 7180 7370 7898 8975 10340 12596 12925 14740 15745 15796 16873 17950 18425 19745 24053 25850 31490 33746 34639 35900 36850 39490 48106 51700 62980 67492 69278 73700 78725 78980 84365 96212 98725 120265 138556 157450 168730 173195 185603 197450 240530 264583 314900 337460 346390 371206 394900 421825 481060 529166 601325 692780 742412 843650 865975 928015 1058332 1130491 1202650 1322915 1687300 1731950 1856030 2260982 2405300 2645830 3463900 3712060 4521964 4640075 5291660 5652455 6614575 9280150 11304910 12435401 13229150 18560300 22609820 24870802 26458300 28262275 49741604 56524550 62177005 113049100 124354010 248708020 310885025 621770050 1243540100