Search a number
-
+
234220010031 = 327192327730713
BaseRepresentation
bin1101101000100010011…
…0011011101000101111
3211101120012021022100100
43122020212123220233
512314140310310111
6255333231402143
722631122144050
oct3321046335057
9741505238310
10234220010031
11903720a9227
1239487983353
1319118a77b17
14b49cb90727
15615c7d1756
hex368899ba2f

234220010031 has 96 divisors (see below), whose sum is σ = 426241520640. Its totient is φ = 120841155072.

The previous prime is 234220009957. The next prime is 234220010039. The reversal of 234220010031 is 130010022432.

It is not a de Polignac number, because 234220010031 - 225 = 234186455599 is a prime.

It is a super-2 number, since 2×2342200100312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234220009986 and 234220010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234220010039) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7610731 + ... + 7641443.

It is an arithmetic number, because the mean of its divisors is an integer number (4440015840).

Almost surely, 2234220010031 is an apocalyptic number.

234220010031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

234220010031 is a deficient number, since it is larger than the sum of its proper divisors (192021510609).

234220010031 is a wasteful number, since it uses less digits than its factorization.

234220010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31045 (or 31042 counting only the distinct ones).

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

Adding to 234220010031 its reverse (130010022432), we get a palindrome (364230032463).

The spelling of 234220010031 in words is "two hundred thirty-four billion, two hundred twenty million, ten thousand, thirty-one".

Divisors: 1 3 7 9 19 21 23 57 63 69 133 161 171 207 277 399 437 483 831 1197 1311 1449 1939 2493 3059 3933 5263 5817 6371 9177 15789 17451 19113 27531 30713 36841 44597 47367 57339 92139 110523 121049 133791 214991 276417 331569 363147 401373 583547 644973 706399 847343 1089441 1750641 1934919 2119197 2542029 4084829 4944793 5251923 6357591 7626087 8507501 12254487 13421581 14834379 25522503 36763461 40264743 44503137 59552507 76567509 93951067 120794229 161642519 178657521 195672523 281853201 484927557 535972563 587017569 845559603 1131497633 1369707661 1454782671 1761052707 3394492899 3717777937 4109122983 10183478697 11153333811 12327368949 26024445559 33460001433 78073336677 234220010031