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10230403200 = 273521065667
BaseRepresentation
bin10011000011100011…
…11001000010000000
3222101222022022220020
421201301321002000
5131422440400300
64411053013440
7511342664253
oct114161710200
928358268806
1010230403200
11437a883386
121b96184280
13c7065b124
146d09bb09a
153ed2208a0
hex261c79080

10230403200 has 96 divisors (see below), whose sum is σ = 33696422160. Its totient is φ = 2728104960.

The previous prime is 10230403181. The next prime is 10230403207. The reversal of 10230403200 is 230403201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×102304032002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10230403200.

It is not an unprimeable number, because it can be changed into a prime (10230403207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523234 + ... + 542433.

Almost surely, 210230403200 is an apocalyptic number.

10230403200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10230403200 is an abundant number, since it is smaller than the sum of its proper divisors (23466018960).

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

10230403200 is a wasteful number, since it uses less digits than its factorization.

10230403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065694 (or 1065677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10230403200 its reverse (230403201), we get a palindrome (10460806401).

Subtracting from 10230403200 its reverse (230403201), we obtain a palindrome (9999999999).

The spelling of 10230403200 in words is "ten billion, two hundred thirty million, four hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 1065667 2131334 3197001 4262668 5328335 6394002 8525336 10656670 12788004 15985005 17050672 21313340 25576008 26641675 31970010 34101344 42626680 51152016 53283350 63940020 68202688 79925025 85253360 102304032 106566700 127880040 136405376 159850050 170506720 204608064 213133400 255760080 319700100 341013440 409216128 426266800 511520160 639400200 682026880 852533600 1023040320 1278800400 1705067200 2046080640 2557600800 3410134400 5115201600 10230403200