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230122430100 = 223252255691589
BaseRepresentation
bin1101011001010001011…
…1011001111010010100
3210222222121221200101200
43112110113121322110
512232242320230400
6253414454152500
722424435244633
oct3262427317224
9728877850350
10230122430100
118965a126832
1238723652730
1318914b7c304
14b1d08b951a
155ebcbd3b00
hex35945d9e94

230122430100 has 54 divisors (see below), whose sum is σ = 721305975390. Its totient is φ = 61365981120.

The previous prime is 230122430063. The next prime is 230122430101. The reversal of 230122430100 is 1034221032.

230122430100 is a `hidden beast` number, since 230 + 1 + 2 + 2 + 430 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18553708944 + 211568721156 = 136212^2 + 459966^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230122430101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 127844895 + ... + 127846694.

Almost surely, 2230122430100 is an apocalyptic number.

230122430100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230122430100 is an abundant number, since it is smaller than the sum of its proper divisors (491183545290).

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

230122430100 is a wasteful number, since it uses less digits than its factorization.

230122430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255691609 (or 255691599 counting only the distinct ones).

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

Adding to 230122430100 its reverse (1034221032), we get a palindrome (231156651132).

The spelling of 230122430100 in words is "two hundred thirty billion, one hundred twenty-two million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 255691589 511383178 767074767 1022766356 1278457945 1534149534 2301224301 2556915890 3068299068 3835373835 4602448602 5113831780 6392289725 7670747670 9204897204 11506121505 12784579450 15341495340 19176869175 23012243010 25569158900 38353738350 46024486020 57530607525 76707476700 115061215050 230122430100