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1230010002 = 2331329311949
BaseRepresentation
bin100100101010000…
…0111011010010010
310011201110222112000
41021110013122102
510004340310002
6322015214430
742323624664
oct11124073222
93151428460
101230010002
115813437a1
122a3b17416
13167aa0b90
14b9502534
1572eb761c
hex49507692

1230010002 has 128 divisors (see below), whose sum is σ = 3144960000. Its totient is φ = 353445120.

The previous prime is 1230009997. The next prime is 1230010007. The reversal of 1230010002 is 2000100321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1230009997) and next prime (1230010007).

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

It is not an unprimeable number, because it can be changed into a prime (1230010007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 630124 + ... + 632072.

It is an arithmetic number, because the mean of its divisors is an integer number (24570000).

Almost surely, 21230010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480000).

1230010002 is an abundant number, since it is smaller than the sum of its proper divisors (1914949998).

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

1230010002 is a wasteful number, since it uses less digits than its factorization.

1230010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2027 counting only the distinct ones).

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

The square root of 1230010002 is about 35071.4984282109. The cubic root of 1230010002 is about 1071.4441738985. Note that the first 3 decimals are identical.

Adding to 1230010002 its reverse (2000100321), we get a palindrome (3230110323).

The spelling of 1230010002 in words is "one billion, two hundred thirty million, ten thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 29 31 39 54 58 62 78 87 93 117 174 186 234 261 279 351 377 403 522 558 702 754 783 806 837 899 1131 1209 1566 1674 1798 1949 2262 2418 2697 3393 3627 3898 5394 5847 6786 7254 8091 10179 10881 11687 11694 16182 17541 20358 21762 23374 24273 25337 35061 35082 48546 50674 52623 56521 60419 70122 76011 105183 105246 113042 120838 152022 169563 181257 210366 228033 315549 339126 362514 456066 508689 543771 631098 684099 734773 785447 1017378 1087542 1368198 1469546 1526067 1570894 1631313 1752151 2204319 2356341 3052134 3262626 3504302 4408638 4712682 5256453 6612957 7069023 10512906 13225914 14138046 15769359 19838871 21207069 22777963 31538718 39677742 42414138 45555926 47308077 68333889 94616154 136667778 205001667 410003334 615005001 1230010002