Search a number
-
+
203213121120 = 25325141120223
BaseRepresentation
bin1011110101000001110…
…0100010011001100000
3201102112021100011001100
42331100130202121200
511312140024333440
6233204350234400
720452545013032
oct2752034423140
9642467304040
10203213121120
11792005666a9
12334737b5a00
1316216c03089
149b9ab23c52
1554455b5230
hex2f50722660

203213121120 has 72 divisors (see below), whose sum is σ = 693464780736. Its totient is φ = 54190165248.

The previous prime is 203213121103. The next prime is 203213121143. The reversal of 203213121120 is 21121312302.

203213121120 is a `hidden beast` number, since 2 + 0 + 321 + 312 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 203213121093 and 203213121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70558672 + ... + 70561551.

It is an arithmetic number, because the mean of its divisors is an integer number (9631455288).

Almost surely, 2203213121120 is an apocalyptic number.

203213121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203213121120 is an abundant number, since it is smaller than the sum of its proper divisors (490251659616).

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

203213121120 is a wasteful number, since it uses less digits than its factorization.

203213121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141120244 (or 141120233 counting only the distinct ones).

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

Adding to 203213121120 its reverse (21121312302), we get a palindrome (224334433422).

The spelling of 203213121120 in words is "two hundred three billion, two hundred thirteen 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 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 141120223 282240446 423360669 564480892 705601115 846721338 1128961784 1270082007 1411202230 1693442676 2116803345 2257923568 2540164014 2822404460 3386885352 4233606690 4515847136 5080328028 5644808920 6350410035 6773770704 8467213380 10160656056 11289617840 12700820070 13547541408 16934426760 20321312112 22579235680 25401640140 33868853520 40642624224 50803280280 67737707040 101606560560 203213121120