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313115201400 = 23352697774797
BaseRepresentation
bin1001000111001110001…
…11101100111101111000
31002221012112111021211010
410203213013230331320
520112224442421100
6355502041233520
731423200204201
oct4434707547570
91087175437733
10313115201400
11110878406221
12508257928a0
13236b0037301
1411224cd85a8
158228cb9750
hex48e71ecf78

313115201400 has 96 divisors (see below), whose sum is σ = 970809225840. Its totient is φ = 83484303360.

The previous prime is 313115201383. The next prime is 313115201401. The reversal of 313115201400 is 4102511313.

It is a super-2 number, since 2×3131152014002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313115201401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4148802 + ... + 4223598.

Almost surely, 2313115201400 is an apocalyptic number.

313115201400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313115201400 is an abundant number, since it is smaller than the sum of its proper divisors (657694024440).

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

313115201400 is a wasteful number, since it uses less digits than its factorization.

313115201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81793 (or 81784 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 313115201400 its reverse (4102511313), we get a palindrome (317217712713).

The spelling of 313115201400 in words is "three hundred thirteen billion, one hundred fifteen million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6977 13954 20931 27908 34885 41862 55816 69770 74797 83724 104655 139540 149594 167448 174425 209310 224391 279080 299188 348850 373985 418620 448782 523275 598376 697700 747970 837240 897564 1046550 1121955 1395400 1495940 1795128 1869925 2093100 2243910 2991880 3739850 4186200 4487820 5609775 7479700 8975640 11219550 14959400 22439100 44878200 521858669 1043717338 1565576007 2087434676 2609293345 3131152014 4174869352 5218586690 6262304028 7827880035 10437173380 12524608056 13046466725 15655760070 20874346760 26092933450 31311520140 39139400175 52185866900 62623040280 78278800350 104371733800 156557600700 313115201400