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12003100002 = 2321723316971
BaseRepresentation
bin10110010110111000…
…01100010101100010
31010222111221122202100
423023130030111202
5144040243200002
65303020031230
7603306444435
oct131334142542
933874848670
1012003100002
1150aa489763
1223ab992516
1311939ab84a
1481c1c781c
154a3b8411c
hex2cb70c562

12003100002 has 72 divisors (see below), whose sum is σ = 27713950992. Its totient is φ = 3753763200.

The previous prime is 12003100001. The next prime is 12003100009. The reversal of 12003100002 is 20000130021.

It is a happy number.

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 (12003100001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1718377 + ... + 1725347.

It is an arithmetic number, because the mean of its divisors is an integer number (384915986).

Almost surely, 212003100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856975496).

12003100002 is an abundant number, since it is smaller than the sum of its proper divisors (15710850990).

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

12003100002 is a wasteful number, since it uses less digits than its factorization.

12003100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 7324 counting only the distinct ones).

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

Adding to 12003100002 its reverse (20000130021), we get a palindrome (32003230023).

The spelling of 12003100002 in words is "twelve billion, three million, one hundred thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 331 578 662 867 993 1734 1986 2601 2979 5202 5627 5958 6971 11254 13942 16881 20913 33762 41826 50643 62739 95659 101286 118507 125478 191318 237014 286977 355521 573954 711042 860931 1066563 1721862 2014619 2133126 2307401 4029238 4614802 6043857 6922203 12087714 13844406 18131571 20766609 36263142 39225817 41533218 78451634 117677451 235354902 353032353 666838889 706064706 1333677778 2000516667 4001033334 6001550001 12003100002