Search a number
-
+
1031020120 = 2351367101293
BaseRepresentation
bin111101011101000…
…001111001011000
32122212001020201101
4331131001321120
54102420120440
6250150201144
734356345364
oct7535017130
92585036641
101031020120
11489a90749
122493531b4
131357ab5a0
149ad042a4
15607ac69a
hex3d741e58

1031020120 has 128 divisors (see below), whose sum is σ = 2569371840. Its totient is φ = 370022400.

The previous prime is 1031020079. The next prime is 1031020127. The reversal of 1031020120 is 210201301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1031020097 and 1031020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031020127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3518694 + ... + 3518986.

Almost surely, 21031020120 is an apocalyptic number.

1031020120 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 1031020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284685920).

1031020120 is an abundant number, since it is smaller than the sum of its proper divisors (1538351720).

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

1031020120 is a wasteful number, since it uses less digits than its factorization.

1031020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1031020120 is about 32109.5020204300. The cubic root of 1031020120 is about 1010.2349288490.

Adding to 1031020120 its reverse (210201301), we get a palindrome (1241221421).

The spelling of 1031020120 in words is "one billion, thirty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 101 104 130 134 202 260 268 293 335 404 505 520 536 586 670 808 871 1010 1172 1313 1340 1465 1742 2020 2344 2626 2680 2930 3484 3809 4040 4355 5252 5860 6565 6767 6968 7618 8710 10504 11720 13130 13534 15236 17420 19045 19631 26260 27068 29593 30472 33835 34840 38090 39262 52520 54136 59186 67670 76180 78524 87971 98155 118372 135340 147965 152360 157048 175942 196310 236744 255203 270680 295930 351884 384709 392620 439855 510406 591860 703768 769418 785240 879710 1020812 1183720 1276015 1538836 1759420 1923545 1982731 2041624 2552030 3077672 3518840 3847090 3965462 5104060 7694180 7930924 9913655 10208120 15388360 15861848 19827310 25775503 39654620 51551006 79309240 103102012 128877515 206204024 257755030 515510060 1031020120