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230460102100 = 22524173769997
BaseRepresentation
bin1101011010100001111…
…1100001010111010100
3211000212011100012022001
43112220133201113110
512233440241231400
6253512155445044
722436005355254
oct3265037412724
9730764305261
10230460102100
11898127a07a8
12387b8756784
1318969b0a127
14b223697964
155edc684a6a
hex35a87e15d4

230460102100 has 72 divisors (see below), whose sum is σ = 519314371128. Its totient is φ = 88703539200.

The previous prime is 230460102079. The next prime is 230460102107. The reversal of 230460102100 is 1201064032.

It can be written as a sum of positive squares in 12 ways, for example, as 81391525264 + 149068576836 = 285292^2 + 386094^2 .

It is a super-2 number, since 2×2304601021002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230460102107) 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, 85699 + ... + 684298.

It is an arithmetic number, because the mean of its divisors is an integer number (7212699599).

Almost surely, 2230460102100 is an apocalyptic number.

230460102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230460102100 is an abundant number, since it is smaller than the sum of its proper divisors (288854269028).

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

230460102100 is a wasteful number, since it uses less digits than its factorization.

230460102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770125 (or 770118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 230460102100 its reverse (1201064032), we get a palindrome (231661166132).

The spelling of 230460102100 in words is "two hundred thirty billion, four hundred sixty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 73 82 100 146 164 205 292 365 410 730 820 1025 1460 1825 2050 2993 3650 4100 5986 7300 11972 14965 29930 59860 74825 149650 299300 769997 1539994 3079988 3849985 7699970 15399940 19249925 31569877 38499850 56209781 63139754 76999700 112419562 126279508 157849385 224839124 281048905 315698770 562097810 631397540 789246925 1124195620 1405244525 1578493850 2304601021 2810489050 3156987700 4609202042 5620978100 9218404084 11523005105 23046010210 46092020420 57615025525 115230051050 230460102100