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331001340000 = 253545516689
BaseRepresentation
bin1001101000100010011…
…01111010000001100000
31011122101001102021100220
410310101031322001200
520410342320340000
6412020535243040
732625343652652
oct4642115720140
91148331367326
10331001340000
11118416699951
1254197819480
13252a07aca86
14120405666d2
1589241811a0
hex4d1137a060

331001340000 has 120 divisors (see below), whose sum is σ = 1085750792280. Its totient is φ = 88267008000.

The previous prime is 331001339989. The next prime is 331001340001. The reversal of 331001340000 is 43100133.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331001340001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2698345 + ... + 2818344.

It is an arithmetic number, because the mean of its divisors is an integer number (9047923269).

Almost surely, 2331001340000 is an apocalyptic number.

331001340000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331001340000 is an abundant number, since it is smaller than the sum of its proper divisors (754749452280).

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

331001340000 is an equidigital number, since it uses as much as digits as its factorization.

331001340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516722 (or 5516699 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 331001340000 its reverse (43100133), we get a palindrome (331044440133).

The spelling of 331001340000 in words is "three hundred thirty-one billion, one million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 5516689 11033378 16550067 22066756 27583445 33100134 44133512 55166890 66200268 82750335 88267024 110333780 132400536 137917225 165500670 176534048 220667560 264801072 275834450 331001340 413751675 441335120 529602144 551668900 662002680 689586125 827503350 882670240 1103337800 1324005360 1379172250 1655006700 2068758375 2206675600 2648010720 2758344500 3310013400 3447930625 4137516750 4413351200 5516689000 6620026800 6895861250 8275033500 10343791875 11033378000 13240053600 13791722500 16550067000 20687583750 22066756000 27583445000 33100134000 41375167500 55166890000 66200268000 82750335000 110333780000 165500670000 331001340000