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103203012330 = 233511311120919
BaseRepresentation
bin110000000011101100…
…0001111111011101010
3100212101101200020011000
41200013120033323222
53142324432343310
6115224422415430
710312316062605
oct1400730177352
9325341606130
10103203012330
113a84a456730
1218002591576
139969294402
144dd05d133c
152a405304c0
hex180760feea

103203012330 has 128 divisors (see below), whose sum is σ = 309911961600. Its totient is φ = 24211828800.

The previous prime is 103203012307. The next prime is 103203012371. The reversal of 103203012330 is 33210302301.

103203012330 is a `hidden beast` number, since 1 + 0 + 32 + 0 + 301 + 2 + 330 = 666.

It is a super-2 number, since 2×1032030123302 (a number of 23 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 468390 + ... + 652529.

It is an arithmetic number, because the mean of its divisors is an integer number (2421187200).

Almost surely, 2103203012330 is an apocalyptic number.

103203012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103203012330 is an abundant number, since it is smaller than the sum of its proper divisors (206708949270).

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

103203012330 is a wasteful number, since it uses less digits than its factorization.

103203012330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120977 (or 1120971 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103203012330 its reverse (33210302301), we get a palindrome (136413314631).

The spelling of 103203012330 in words is "one hundred three billion, two hundred three million, twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 135 155 165 186 198 270 279 297 310 330 341 465 495 558 594 682 837 930 990 1023 1395 1485 1674 1705 2046 2790 2970 3069 3410 4185 5115 6138 8370 9207 10230 15345 18414 30690 46035 92070 1120919 2241838 3362757 5604595 6725514 10088271 11209190 12330109 16813785 20176542 24660218 30264813 33627570 34748489 36990327 50441355 60529626 61650545 69496978 73980654 100882710 104245467 110970981 123301090 151324065 173742445 184951635 208490934 221941962 302648130 312736401 332912943 347484890 369903270 382233379 521227335 554854905 625472802 665825886 764466758 938209203 1042454670 1109709810 1146700137 1563682005 1664564715 1876418406 1911166895 2293400274 3127364010 3329129430 3440100411 3822333790 4691046015 5733500685 6880200822 9382092030 10320301233 11467001370 17200502055 20640602466 34401004110 51601506165 103203012330