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2031341400 = 23325211102593
BaseRepresentation
bin111100100010011…
…1100111101011000
312020120022211112200
41321010330331120
513130010411100
6533322410200
7101224055064
oct17104747530
95216284480
102031341400
11952703950
12488360960
13264acba7a
14153ad6aa4
15bd503e00
hex7913cf58

2031341400 has 144 divisors (see below), whose sum is σ = 7442168760. Its totient is φ = 492441600.

The previous prime is 2031341399. The next prime is 2031341401. The reversal of 2031341400 is 41431302.

It is an interprime number because it is at equal distance from previous prime (2031341399) and next prime (2031341401).

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 (2031341401) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 31497 + ... + 71096.

Almost surely, 22031341400 is an apocalyptic number.

2031341400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031341400 is an abundant number, since it is smaller than the sum of its proper divisors (5410827360).

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

2031341400 is a wasteful number, since it uses less digits than its factorization.

2031341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102626 (or 102614 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2031341400 is about 45070.4049238522. The cubic root of 2031341400 is about 1266.4682499302.

Adding to 2031341400 its reverse (41431302), we get a palindrome (2072772702).

The spelling of 2031341400 in words is "two billion, thirty-one million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 102593 205186 307779 410372 512965 615558 820744 923337 1025930 1128523 1231116 1538895 1846674 2051860 2257046 2462232 2564825 3077790 3385569 3693348 4103720 4514092 4616685 5129650 5642615 6155580 6771138 7386696 7694475 9028184 9233370 10156707 10259300 11285230 12311160 13542276 15388950 16927845 18466740 20313414 20518600 22570460 23083425 27084552 28213075 30777900 33855690 36933480 40626828 45140920 46166850 50783535 56426150 61555800 67711380 81253656 84639225 92333700 101567070 112852300 135422760 169278450 184667400 203134140 225704600 253917675 338556900 406268280 507835350 677113800 1015670700 2031341400