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31122140 = 22573171101
BaseRepresentation
bin111011010111…
…0001011011100
32011120011112212
41312232023130
530431402030
63031015552
7525351050
oct166561334
964504485
1031122140
1116627585
12a50a5b8
1365a898a
1441c1c60
152aeb595
hex1dae2dc

31122140 has 96 divisors (see below), whose sum is σ = 78962688. Its totient is φ = 10080000.

The previous prime is 31122101. The next prime is 31122173. The reversal of 31122140 is 4122113.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308090 + ... + 308190.

It is an arithmetic number, because the mean of its divisors is an integer number (822528).

Almost surely, 231122140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344).

31122140 is an abundant number, since it is smaller than the sum of its proper divisors (47840548).

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

31122140 is a wasteful number, since it uses less digits than its factorization.

31122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 31122140 is about 5578.7220758880. The cubic root of 31122140 is about 314.5500925751.

Adding to 31122140 its reverse (4122113), we get a palindrome (35244253).

The spelling of 31122140 in words is "thirty-one million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 71 101 124 140 142 155 202 217 284 310 355 404 434 497 505 620 707 710 868 994 1010 1085 1414 1420 1988 2020 2170 2201 2485 2828 3131 3535 4340 4402 4970 6262 7070 7171 8804 9940 11005 12524 14140 14342 15407 15655 21917 22010 28684 30814 31310 35855 43834 44020 50197 61628 62620 71710 77035 87668 100394 109585 143420 154070 200788 219170 222301 250985 308140 438340 444602 501970 889204 1003940 1111505 1556107 2223010 3112214 4446020 6224428 7780535 15561070 31122140