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311201120000 = 28541945007
BaseRepresentation
bin1001000011101010000…
…10000011111100000000
31002202021010210212202102
410201311002003330000
520044314441320000
6354544104005532
731324565606021
oct4416502037400
91082233725672
10311201120000
1110aa85a12571
12503907608a8
1323466613274
14110c2a06c48
158165c293d5
hex4875083f00

311201120000 has 90 divisors (see below), whose sum is σ = 776235187728. Its totient is φ = 124480384000.

The previous prime is 311201119973. The next prime is 311201120011. The reversal of 311201120000 is 21102113.

It is a super-2 number, since 2×3112011200002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 812504 + ... + 1132503.

Almost surely, 2311201120000 is an apocalyptic number.

It is an amenable number.

311201120000 is an abundant number, since it is smaller than the sum of its proper divisors (465034067728).

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

311201120000 is an frugal number, since it uses more digits than its factorization.

311201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945043 (or 1945014 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 311201120000 its reverse (21102113), we get a palindrome (311222222113).

The spelling of 311201120000 in words is "three hundred eleven billion, two hundred one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 1945007 3890014 7780028 9725035 15560056 19450070 31120112 38900140 48625175 62240224 77800280 97250350 124480448 155600560 194500700 243125875 248960896 311201120 389001400 486251750 497921792 622402240 778002800 972503500 1215629375 1244804480 1556005600 1945007000 2431258750 2489608960 3112011200 3890014000 4862517500 6224022400 7780028000 9725035000 12448044800 15560056000 19450070000 31120112000 38900140000 62240224000 77800280000 155600560000 311201120000