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2031151040 = 265107137433
BaseRepresentation
bin111100100010000…
…1110011111000000
312020112222011102022
41321010032133000
513124433313130
6533314341012
7101222333102
oct17104163700
95215864368
102031151040
11952593926
1248828a768
13264a63229
14153a87572
15bd4b77e5
hex7910e7c0

2031151040 has 112 divisors (see below), whose sum is σ = 4928872032. Its totient is φ = 797147136.

The previous prime is 2031151037. The next prime is 2031151061. The reversal of 2031151040 is 401511302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4690664 + ... + 4691096.

It is an arithmetic number, because the mean of its divisors is an integer number (44007786).

Almost surely, 22031151040 is an apocalyptic number.

2031151040 is a gapful number since it is divisible by the number (20) 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 2031151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464436016).

2031151040 is an abundant number, since it is smaller than the sum of its proper divisors (2897720992).

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

2031151040 is a wasteful number, since it uses less digits than its factorization.

2031151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2031151040 is about 45068.2930672995. The cubic root of 2031151040 is about 1266.4286878249.

Adding to 2031151040 its reverse (401511302), we get a palindrome (2432662342).

The spelling of 2031151040 in words is "two billion, thirty-one million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 137 160 214 274 320 428 433 535 548 685 856 866 1070 1096 1370 1712 1732 2140 2165 2192 2740 3424 3464 4280 4330 4384 5480 6848 6928 8560 8660 8768 10960 13856 14659 17120 17320 21920 27712 29318 34240 34640 43840 46331 58636 59321 69280 73295 92662 117272 118642 138560 146590 185324 231655 234544 237284 293180 296605 370648 463310 469088 474568 586360 593210 741296 926620 938176 949136 1172720 1186420 1482592 1853240 1898272 2345440 2372840 2965184 3706480 3796544 4690880 4745680 6347347 7412960 9491360 12694694 14825920 18982720 25389388 31736735 50778776 63473470 101557552 126946940 203115104 253893880 406230208 507787760 1015575520 2031151040