Search a number
-
+
203123121120 = 2533547019241
BaseRepresentation
bin1011110100101100010…
…1001101101111100000
3201102021222222200021000
42331023011031233200
511311444004333440
6233151413232000
720450403020253
oct2751305155740
9642258880230
10203123121120
1179164785337
1233449632600
131620138113a
149b8cbb709a
15543c738730
hex2f4b14dbe0

203123121120 has 96 divisors (see below), whose sum is σ = 710930939040. Its totient is φ = 54166164480.

The previous prime is 203123121073. The next prime is 203123121139. The reversal of 203123121120 is 21121321302.

203123121120 is a `hidden beast` number, since 20 + 312 + 312 + 1 + 1 + 20 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 203123121093 and 203123121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23505301 + ... + 23513940.

It is an arithmetic number, because the mean of its divisors is an integer number (7405530615).

Almost surely, 2203123121120 is an apocalyptic number.

203123121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203123121120 is an abundant number, since it is smaller than the sum of its proper divisors (507807817920).

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

203123121120 is a wasteful number, since it uses less digits than its factorization.

203123121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47019265 (or 47019251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 203123121120 its reverse (21121321302), we get a palindrome (224244442422).

The spelling of 203123121120 in words is "two hundred three billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 47019241 94038482 141057723 188076964 235096205 282115446 376153928 423173169 470192410 564230892 705288615 752307856 846346338 940384820 1128461784 1269519507 1410577230 1504615712 1692692676 1880769640 2115865845 2256923568 2539039014 2821154460 3385385352 3761539280 4231731690 4513847136 5078078028 5642308920 6347597535 6770770704 7523078560 8463463380 10156156056 11284617840 12695195070 13541541408 16926926760 20312312112 22569235680 25390390140 33853853520 40624624224 50780780280 67707707040 101561560560 203123121120