Search a number
-
+
2100242233242 = 232971498073073
BaseRepresentation
bin11110100100000000001…
…100010011011110011010
321102210002111021220202100
4132210000030103132122
5233402244002430432
64244500555544230
7304510650266646
oct36440014233632
97383074256670
102100242233242
1173a786a9534a
1229b05aa5b076
1312308a2c729a
147391bb67c26
153997361507c
hex1e90031379a

2100242233242 has 48 divisors (see below), whose sum is σ = 4628293324200. Its totient is φ = 688213241856.

The previous prime is 2100242233241. The next prime is 2100242233259. The reversal of 2100242233242 is 2423322420012.

2100242233242 is a `hidden beast` number, since 210 + 0 + 2 + 422 + 3 + 3 + 24 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 634474378521 + 1465767854721 = 796539^2 + 1210689^2 .

It is a super-2 number, since 2×21002422332422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100242233241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3776383 + ... + 4296690.

Almost surely, 22100242233242 is an apocalyptic number.

2100242233242 is an abundant number, since it is smaller than the sum of its proper divisors (2528051090958).

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

2100242233242 is a wasteful number, since it uses less digits than its factorization.

2100242233242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8073327 (or 8073324 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2100242233242 its reverse (2423322420012), we get a palindrome (4523564653254).

The spelling of 2100242233242 in words is "two trillion, one hundred billion, two hundred forty-two million, two hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 97 149 194 291 298 447 582 873 894 1341 1746 2682 14453 28906 43359 86718 130077 260154 8073073 16146146 24219219 48438438 72657657 145315314 783088081 1202887877 1566176162 2349264243 2405775754 3608663631 4698528486 7047792729 7217327262 10825990893 14095585458 21651981786 116680124069 233360248138 350040372207 700080744414 1050121116621 2100242233242