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1341000012 = 22311195031063
BaseRepresentation
bin100111111101110…
…0000100101001100
310110110022212012010
41033323200211030
510221244000022
6341022141220
745142212012
oct11773404514
93413285163
101341000012
11628a61180
12315121810
13184a91a41
14ca1548b2
157cadd50c
hex4fee094c

1341000012 has 96 divisors (see below), whose sum is σ = 3603640320. Its totient is φ = 383849280.

The previous prime is 1340999987. The next prime is 1341000047. The reversal of 1341000012 is 2100001431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260993 + ... + 1262055.

It is an arithmetic number, because the mean of its divisors is an integer number (37537920).

Almost surely, 21341000012 is an apocalyptic number.

1341000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801820160).

1341000012 is an abundant number, since it is smaller than the sum of its proper divisors (2262640308).

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

1341000012 is a wasteful number, since it uses less digits than its factorization.

1341000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1341000012 is about 36619.6670110475. The cubic root of 1341000012 is about 1102.7479537535.

Adding to 1341000012 its reverse (2100001431), we get a palindrome (3441001443).

The spelling of 1341000012 in words is "one billion, three hundred forty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 503 627 836 1006 1063 1254 1509 2012 2126 2508 3018 3189 4252 5533 6036 6378 9557 11066 11693 12756 16599 19114 20197 22132 23386 28671 33198 35079 38228 40394 46772 57342 60591 66396 70158 80788 105127 114684 121182 140316 210254 222167 242364 315381 420508 444334 534689 630762 666501 888668 1069378 1261524 1333002 1604067 2138756 2666004 3208134 5881579 6416268 10159091 11763158 17644737 20318182 23526316 30477273 35289474 40636364 60954546 70578948 111750001 121909092 223500002 335250003 447000004 670500006 1341000012