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1230100002 = 232375334849
BaseRepresentation
bin100100101010001…
…1101011000100010
310011201122112222100
41021110131120202
510004401200002
6322021151230
742324451245
oct11124353042
93151575870
101230100002
115813a537a
122a3b5b516
13167b02b31
14b952725c
1572ed411c
hex4951d622

1230100002 has 48 divisors (see below), whose sum is σ = 2788975800. Its totient is φ = 391412736.

The previous prime is 1230099979. The next prime is 1230100021. The reversal of 1230100002 is 2000010321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1080502641 + 149597361 = 32871^2 + 12231^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17874 + ... + 52722.

Almost surely, 21230100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394487900).

1230100002 is an abundant number, since it is smaller than the sum of its proper divisors (1558875798).

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

1230100002 is a wasteful number, since it uses less digits than its factorization.

1230100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34947 (or 34944 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1230100002 is about 35072.7814979080. The cubic root of 1230100002 is about 1071.4703058334.

Adding to 1230100002 its reverse (2000010321), we get a palindrome (3230110323).

The spelling of 1230100002 in words is "one billion, two hundred thirty million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 318 333 477 666 954 1961 3922 5883 11766 17649 34849 35298 69698 104547 209094 313641 627282 1289413 1846997 2578826 3693994 3868239 5540991 7736478 11081982 11604717 16622973 23209434 33245946 68338889 136677778 205016667 410033334 615050001 1230100002