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3130013000 = 23534383877
BaseRepresentation
bin1011101010010000…
…0011010101001000
322002010200010122102
42322210003111020
522402240404000
61234331012532
7140364446222
oct27244032510
98063603572
103130013000
1113668a1104
1273429a148
133ab605bca
142199ab412
15134bc63d5
hexba903548

3130013000 has 128 divisors (see below), whose sum is σ = 7593505920. Its totient is φ = 1206777600.

The previous prime is 3130012993. The next prime is 3130013011. The reversal of 3130013000 is 3100313.

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 31 ways as a sum of consecutive naturals, for example, 3568562 + ... + 3569438.

It is an arithmetic number, because the mean of its divisors is an integer number (59324265).

Almost surely, 23130013000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796752960).

3130013000 is an abundant number, since it is smaller than the sum of its proper divisors (4463492920).

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

3130013000 is a wasteful number, since it uses less digits than its factorization.

3130013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 3130013000 is about 55946.5191053027. The cubic root of 3130013000 is about 1462.7902168355.

Adding to 3130013000 its reverse (3100313), we get a palindrome (3133113313).

The spelling of 3130013000 in words is "three billion, one hundred thirty million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 83 86 100 125 166 172 200 215 250 332 344 415 430 500 664 830 860 877 1000 1075 1660 1720 1754 2075 2150 3320 3508 3569 4150 4300 4385 5375 7016 7138 8300 8600 8770 10375 10750 14276 16600 17540 17845 20750 21500 21925 28552 35080 35690 37711 41500 43000 43850 71380 72791 75422 83000 87700 89225 109625 142760 145582 150844 175400 178450 188555 219250 291164 301688 356900 363955 377110 438500 446125 582328 713800 727910 754220 877000 892250 942775 1455820 1508440 1784500 1819775 1885550 2911640 3130013 3569000 3639550 3771100 4713875 6260026 7279100 7542200 9098875 9427750 12520052 14558200 15650065 18197750 18855500 25040104 31300130 36395500 37711000 62600260 72791000 78250325 125200520 156500650 313001300 391251625 626002600 782503250 1565006500 3130013000