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103330230030 = 232521112774261
BaseRepresentation
bin110000000111011110…
…1100010111100001110
3100212201021001120000200
41200032331202330032
53143110014330110
6115245205234330
710315422314646
oct1401675427416
9325637046020
10103330230030
113a905248225
12180391029a6
139989747661
145003469526
152a4b7ae6c0
hex180ef62f0e

103330230030 has 96 divisors (see below), whose sum is σ = 270206640288. Its totient is φ = 27396230400.

The previous prime is 103330230001. The next prime is 103330230041. The reversal of 103330230030 is 30032033301.

103330230030 is a `hidden beast` number, since 1 + 0 + 3 + 330 + 2 + 300 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103330229985 and 103330230012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24248100 + ... + 24252360.

It is an arithmetic number, because the mean of its divisors is an integer number (2814652503).

Almost surely, 2103330230030 is an apocalyptic number.

103330230030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103330230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135103320144).

103330230030 is an abundant number, since it is smaller than the sum of its proper divisors (166876410258).

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

103330230030 is a wasteful number, since it uses less digits than its factorization.

103330230030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 103330230030 its reverse (30032033301), we get a palindrome (133362263331).

The spelling of 103330230030 in words is "one hundred three billion, three hundred thirty million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 1055 1266 1277 1899 2110 2554 3165 3798 3831 4261 6330 6385 7662 8522 9495 11493 12770 12783 18990 19155 21305 22986 25566 38310 38349 42610 57465 63915 76698 114930 127830 191745 269447 383490 538894 808341 899071 1347235 1616682 1798142 2425023 2694470 2697213 4041705 4495355 4850046 5394426 5441297 8083410 8091639 8990710 10882594 12125115 13486065 16183278 16323891 24250230 26972130 27206485 32647782 40458195 48971673 54412970 80916390 81619455 97943346 163238910 244858365 489716730 1148113667 2296227334 3444341001 5740568335 6888682002 10333023003 11481136670 17221705005 20666046006 34443410010 51665115015 103330230030