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2531045000 = 235411172707
BaseRepresentation
bin1001011011011100…
…1010111010001000
320112101121102000102
42112313022322020
520140421420000
61055053024532
7116502345641
oct22667127210
96471542012
102531045000
111089788630
125a7785148
133144abc83
141a02126c8
15ec30e3d5
hex96dcae88

2531045000 has 160 divisors (see below), whose sum is σ = 6852431520. Its totient is φ = 865920000.

The previous prime is 2531044979. The next prime is 2531045021. The reversal of 2531045000 is 5401352.

2531045000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2531044979) and next prime (2531045021).

It is a super-3 number, since 3×25310450003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 933647 + ... + 936353.

It is an arithmetic number, because the mean of its divisors is an integer number (42827697).

Almost surely, 22531045000 is an apocalyptic number.

2531045000 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 2531045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426215760).

2531045000 is an abundant number, since it is smaller than the sum of its proper divisors (4321386520).

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

2531045000 is a wasteful number, since it uses less digits than its factorization.

2531045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2531045000 is about 50309.4921461149. The cubic root of 2531045000 is about 1362.8036525472.

Adding to 2531045000 its reverse (5401352), we get a palindrome (2536446352).

The spelling of 2531045000 in words is "two billion, five hundred thirty-one million, forty-five thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 625 680 748 850 935 1000 1100 1250 1375 1496 1700 1870 2125 2200 2500 2707 2750 3400 3740 4250 4675 5000 5414 5500 6875 7480 8500 9350 10625 10828 11000 13535 13750 17000 18700 21250 21656 23375 27070 27500 29777 37400 42500 46019 46750 54140 55000 59554 67675 85000 92038 93500 108280 116875 119108 135350 148885 184076 187000 230095 233750 238216 270700 297770 338375 368152 460190 467500 506209 541400 595540 676750 744425 920380 935000 1012418 1150475 1191080 1353500 1488850 1691875 1840760 2024836 2300950 2531045 2707000 2977700 3383750 3722125 4049672 4601900 5062090 5752375 5955400 6767500 7444250 9203800 10124180 11504750 12655225 13535000 14888500 18610625 20248360 23009500 25310450 28761875 29777000 37221250 46019000 50620900 57523750 63276125 74442500 101241800 115047500 126552250 148885000 230095000 253104500 316380625 506209000 632761250 1265522500 2531045000