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100023312000 = 273532083819
BaseRepresentation
bin101110100100111011…
…0101001111010000000
3100120011210111201022010
41131021312221322000
53114321431441000
6113541114412520
710140446060343
oct1351166517200
9316153451263
10100023312000
1139468608817
1217475731140
1395805b2521
144bac1ac45a
1529062e1d50
hex1749da9e80

100023312000 has 128 divisors (see below), whose sum is σ = 331577438400. Its totient is φ = 26672870400.

The previous prime is 100023311939. The next prime is 100023312041. The reversal of 100023312000 is 213320001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 993910 + ... + 1089909.

Almost surely, 2100023312000 is an apocalyptic number.

100023312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023312000 is an abundant number, since it is smaller than the sum of its proper divisors (231554126400).

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

100023312000 is an equidigital number, since it uses as much as digits as its factorization.

100023312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083851 (or 2083829 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100023312000 its reverse (213320001), we get a palindrome (100236632001).

The spelling of 100023312000 in words is "one hundred billion, twenty-three million, three hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 2083819 4167638 6251457 8335276 10419095 12502914 16670552 20838190 25005828 31257285 33341104 41676380 50011656 52095475 62514570 66682208 83352760 100023312 104190950 125029140 133364416 156286425 166705520 200046624 208381900 250058280 260477375 266728832 312572850 333411040 400093248 416763800 500116560 520954750 625145700 666822080 781432125 800186496 833527600 1000233120 1041909500 1250291400 1333644160 1562864250 1667055200 2000466240 2083819000 2500582800 3125728500 3334110400 4000932480 4167638000 5001165600 6251457000 6668220800 8335276000 10002331200 12502914000 16670552000 20004662400 25005828000 33341104000 50011656000 100023312000