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31311042420 = 22357499149399
BaseRepresentation
bin11101001010010010…
…001001011101110100
32222211010020202110210
4131022102021131310
51003111111324140
622214544145420
72155626316650
oct351222113564
988733222423
1031311042420
11123082a3669
12609a008270
132c4cb98248
141730601a60
15c33c9ad80
hex74a489774

31311042420 has 96 divisors (see below), whose sum is σ = 100396800000. Its totient is φ = 7142419584.

The previous prime is 31311042383. The next prime is 31311042431. The reversal of 31311042420 is 2424011313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134881 + ... + 284279.

It is an arithmetic number, because the mean of its divisors is an integer number (1045800000).

Almost surely, 231311042420 is an apocalyptic number.

31311042420 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 31311042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50198400000).

31311042420 is an abundant number, since it is smaller than the sum of its proper divisors (69085757580).

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

31311042420 is a wasteful number, since it uses less digits than its factorization.

31311042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149917 (or 149915 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31311042420 its reverse (2424011313), we get a palindrome (33735053733).

The spelling of 31311042420 in words is "thirty-one billion, three hundred eleven million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 499 998 1497 1996 2495 2994 3493 4990 5988 6986 7485 9980 10479 13972 14970 17465 20958 29940 34930 41916 52395 69860 104790 149399 209580 298798 448197 597596 746995 896394 1045793 1493990 1792788 2091586 2240985 2987980 3137379 4183172 4481970 5228965 6274758 8963940 10457930 12549516 15686895 20915860 31373790 62747580 74550101 149100202 223650303 298200404 372750505 447300606 521850707 745501010 894601212 1043701414 1118251515 1491002020 1565552121 2087402828 2236503030 2609253535 3131104242 4473006060 5218507070 6262208484 7827760605 10437014140 15655521210 31311042420