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3010130133000 = 233537681130631
BaseRepresentation
bin101011110011011001101…
…111001100000000001000
3101122202200010220100111020
4223303121233030000020
5343304221303224000
610222500143232440
7430321554652404
oct53633157140010
911582603810436
103010130133000
11a60652a93621
124074725a8720
1318ab14481543
14a5996452104
1553478c59ba0
hex2bcd9bcc008

3010130133000 has 128 divisors (see below), whose sum is σ = 9392900624640. Its totient is φ = 802590720000.

The previous prime is 3010130132963. The next prime is 3010130133029. The reversal of 3010130133000 is 3310310103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22977685 + ... + 23108315.

It is an arithmetic number, because the mean of its divisors is an integer number (73382036130).

Almost surely, 23010130133000 is an apocalyptic number.

3010130133000 is a gapful number since it is divisible by the number (30) 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 3010130133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696450312320).

3010130133000 is an abundant number, since it is smaller than the sum of its proper divisors (6382770491640).

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

3010130133000 is a wasteful number, since it uses less digits than its factorization.

3010130133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138336 (or 138322 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 3010130133000 its reverse (3310310103), we get a palindrome (3013440443103).

The spelling of 3010130133000 in words is "three trillion, ten billion, one hundred thirty million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7681 15362 23043 30724 38405 46086 61448 76810 92172 115215 130631 153620 184344 192025 230430 261262 307240 384050 391893 460860 522524 576075 653155 768100 783786 921720 960125 1045048 1152150 1306310 1536200 1567572 1920250 1959465 2304300 2612620 2880375 3135144 3265775 3840500 3918930 4608600 5225240 5760750 6531550 7681000 7837860 9797325 11521500 13063100 15675720 16328875 19594650 23043000 26126200 32657750 39189300 48986625 65315500 78378600 97973250 130631000 195946500 391893000 1003376711 2006753422 3010130133 4013506844 5016883555 6020260266 8027013688 10033767110 12040520532 15050650665 20067534220 24081041064 25084417775 30101301330 40135068440 50168835550 60202602660 75253253325 100337671100 120405205320 125422088875 150506506650 200675342200 250844177750 301013013300 376266266625 501688355500 602026026600 752532533250 1003376711000 1505065066500 3010130133000