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31303053114000 = 2435316573148567
BaseRepresentation
bin1110001111000010011110…
…10111000111101010010000
311002211112122121000110202120
413013201033113013222100
513100332123044122000
6150324231333414240
76410366560200603
oct707411727075220
9132745577013676
1031303053114000
119a79606460a58
1236168a919a380
131460b32c26805
147a310c20633a
153943e6c856a0
hex1c784f5c7a90

31303053114000 has 160 divisors (see below), whose sum is σ = 100981981191936. Its totient is φ = 8342440473600.

The previous prime is 31303053113999. The next prime is 31303053114019. The reversal of 31303053114000 is 41135030313.

It is a super-2 number, since 2×313030531140002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8367717 + ... + 11516283.

Almost surely, 231303053114000 is an apocalyptic number.

31303053114000 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 31303053114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50490990595968).

31303053114000 is an abundant number, since it is smaller than the sum of its proper divisors (69678928077936).

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

31303053114000 is a wasteful number, since it uses less digits than its factorization.

31303053114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150250 (or 3150234 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 31303053114000 its reverse (41135030313), we get a palindrome (31344188144313).

The spelling of 31303053114000 in words is "thirty-one trillion, three hundred three billion, fifty-three million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1657 2000 3000 3314 4971 6000 6628 8285 9942 13256 16570 19884 24855 26512 33140 39768 41425 49710 66280 79536 82850 99420 124275 132560 165700 198840 207125 248550 331400 397680 414250 497100 621375 662800 828500 994200 1242750 1657000 1988400 2485500 3148567 3314000 4971000 6297134 9445701 9942000 12594268 15742835 18891402 25188536 31485670 37782804 47228505 50377072 62971340 75565608 78714175 94457010 125942680 151131216 157428350 188914020 236142525 251885360 314856700 377828040 393570875 472285050 629713400 755656080 787141750 944570100 1180712625 1259426800 1574283500 1889140200 2361425250 3148567000 3778280400 4722850500 5217175519 6297134000 9445701000 10434351038 15651526557 18891402000 20868702076 26085877595 31303053114 41737404152 52171755190 62606106228 78257632785 83474808304 104343510380 125212212456 130429387975 156515265570 208687020760 250424424912 260858775950 313030531140 391288163925 417374041520 521717551900 626061062280 652146939875 782576327850 1043435103800 1252122124560 1304293879750 1565152655700 1956440819625 2086870207600 2608587759500 3130305311400 3912881639250 5217175519000 6260610622800 7825763278500 10434351038000 15651526557000 31303053114000