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1030134120 = 2335232511487
BaseRepresentation
bin111101011001101…
…001100101101000
32122210101020100120
4331121221211220
54102203242440
6250115203240
734345665321
oct7531514550
92583336316
101030134120
11489536014
12248ba6520
1313555b222
149ab53448
1560684dd0
hex3d669968

1030134120 has 128 divisors (see below), whose sum is σ = 3239792640. Its totient is φ = 261536000.

The previous prime is 1030134107. The next prime is 1030134121. The reversal of 1030134120 is 214310301.

It is a super-2 number, since 2×10301341202 = 2122352610376348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030134120.

It is not an unprimeable number, because it can be changed into a prime (1030134121) 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, 692017 + ... + 693503.

It is an arithmetic number, because the mean of its divisors is an integer number (25310880).

Almost surely, 21030134120 is an apocalyptic number.

1030134120 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 1030134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

1030134120 is an abundant number, since it is smaller than the sum of its proper divisors (2209658520).

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

1030134120 is a wasteful number, since it uses less digits than its factorization.

1030134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1030134120 is about 32095.7025160690. The cubic root of 1030134120 is about 1009.9454664540.

Adding to 1030134120 its reverse (214310301), we get a palindrome (1244444421).

The spelling of 1030134120 in words is "one billion, thirty million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 251 276 345 460 502 552 690 753 920 1004 1255 1380 1487 1506 2008 2510 2760 2974 3012 3765 4461 5020 5773 5948 6024 7435 7530 8922 10040 11546 11896 14870 15060 17319 17844 22305 23092 28865 29740 30120 34201 34638 35688 44610 46184 57730 59480 68402 69276 86595 89220 102603 115460 136804 138552 171005 173190 178440 205206 230920 273608 342010 346380 373237 410412 513015 684020 692760 746474 820824 1026030 1119711 1368040 1492948 1866185 2052060 2239422 2985896 3732370 4104120 4478844 5598555 7464740 8584451 8957688 11197110 14929480 17168902 22394220 25753353 34337804 42922255 44788440 51506706 68675608 85844510 103013412 128766765 171689020 206026824 257533530 343378040 515067060 1030134120