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10203413400 = 2333521889521
BaseRepresentation
bin10011000000010101…
…11011101110011000
3222100002112002212000
421200022323232120
5131344033212100
64404250321000
7510564403635
oct114012735630
928302462760
1010203413400
114366619564
121b89129160
13c67b9b32b
146cb19318c
153eab8d900
hex2602bbb98

10203413400 has 96 divisors (see below), whose sum is σ = 35145109200. Its totient is φ = 2720908800.

The previous prime is 10203413399. The next prime is 10203413431. The reversal of 10203413400 is 431430201.

10203413400 is a `hidden beast` number, since 10 + 203 + 413 + 40 + 0 = 666.

It is a super-2 number, since 2×102034134002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939361 + ... + 950160.

Almost surely, 210203413400 is an apocalyptic number.

10203413400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203413400 is an abundant number, since it is smaller than the sum of its proper divisors (24941695800).

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

10203413400 is a wasteful number, since it uses less digits than its factorization.

10203413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889546 (or 1889531 counting only the distinct ones).

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

Adding to 10203413400 its reverse (431430201), we get a palindrome (10634843601).

The spelling of 10203413400 in words is "ten billion, two hundred three million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 1889521 3779042 5668563 7558084 9447605 11337126 15116168 17005689 18895210 22674252 28342815 34011378 37790420 45348504 47238025 51017067 56685630 68022756 75580840 85028445 94476050 102034134 113371260 136045512 141714075 170056890 188952100 204068268 226742520 255085335 283428150 340113780 377904200 408136536 425142225 510170670 566856300 680227560 850284450 1020341340 1133712600 1275426675 1700568900 2040682680 2550853350 3401137800 5101706700 10203413400