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1042451300 = 2252112101853
BaseRepresentation
bin111110001000101…
…000101101100100
32200122120000100102
4332020220231210
54113331420200
6251235203232
734555455422
oct7610505544
92618500312
101042451300
11495489100
12251146518
13137c816b7
149c63c112
15617b96d5
hex3e228b64

1042451300 has 108 divisors (see below), whose sum is σ = 2514023988. Its totient is φ = 374880000.

The previous prime is 1042451299. The next prime is 1042451369. The reversal of 1042451300 is 31542401.

It can be written as a sum of positive squares in 6 ways, for example, as 14992384 + 1027458916 = 3872^2 + 32054^2 .

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 35 ways as a sum of consecutive naturals, for example, 1221674 + ... + 1222526.

Almost surely, 21042451300 is an apocalyptic number.

1042451300 is a gapful number since it is divisible by the number (10) 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 1042451300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257011994).

1042451300 is an abundant number, since it is smaller than the sum of its proper divisors (1471572688).

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

1042451300 is a wasteful number, since it uses less digits than its factorization.

1042451300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1042451300 is about 32287.0144175642. The cubic root of 1042451300 is about 1013.9547912988.

Adding to 1042451300 its reverse (31542401), we get a palindrome (1073993701).

The spelling of 1042451300 in words is "one billion, forty-two million, four hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 121 202 220 242 275 404 484 505 550 605 853 1010 1100 1111 1210 1706 2020 2222 2420 2525 3025 3412 4265 4444 5050 5555 6050 8530 9383 10100 11110 12100 12221 17060 18766 21325 22220 24442 27775 37532 42650 46915 48884 55550 61105 85300 86153 93830 103213 111100 122210 172306 187660 206426 234575 244420 305525 344612 412852 430765 469150 516065 611050 861530 938300 947683 1032130 1222100 1723060 1895366 2064260 2153825 2580325 3790732 4307650 4738415 5160650 8615300 9476830 10321300 10424513 18953660 20849026 23692075 41698052 47384150 52122565 94768300 104245130 208490260 260612825 521225650 1042451300