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13203012030030 = 23252113067226691
BaseRepresentation
bin1100000000100001000011…
…0101111000111001001110
31201202012021121110012012200
43000020100311320321032
53212304232034430110
644025214024542330
72531612642364144
oct300102065707116
951665247405180
1013203012030030
1142304030a8709
1215929ba0219a6
1374a067011684
1433905a161594
1517d6922796c0
hexc0210d78e4e

13203012030030 has 96 divisors (see below), whose sum is σ = 34501920306048. Its totient is φ = 3502958961600.

The previous prime is 13203012029993. The next prime is 13203012030031. The reversal of 13203012030030 is 3003021030231.

13203012030030 is a `hidden beast` number, since 1 + 32 + 0 + 301 + 2 + 0 + 300 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13203012029985 and 13203012030012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203012030031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58128985 + ... + 58355675.

It is an arithmetic number, because the mean of its divisors is an integer number (359395003188).

Almost surely, 213203012030030 is an apocalyptic number.

13203012030030 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 13203012030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250960153024).

13203012030030 is an abundant number, since it is smaller than the sum of its proper divisors (21298908276018).

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

13203012030030 is a wasteful number, since it uses less digits than its factorization.

13203012030030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229982 (or 229979 counting only the distinct ones).

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

Adding to 13203012030030 its reverse (3003021030231), we get a palindrome (16206033060261).

The spelling of 13203012030030 in words is "thirteen trillion, two hundred three billion, twelve million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 1055 1266 1899 2110 3067 3165 3798 6134 6330 9201 9495 15335 18402 18990 27603 30670 46005 55206 92010 138015 226691 276030 453382 647137 680073 1133455 1294274 1360146 1941411 2040219 2266910 3235685 3400365 3882822 4080438 5824233 6471370 6800730 9707055 10201095 11648466 19414110 20402190 29121165 47831801 58242330 95663602 143495403 239159005 286990806 430486209 478318010 695261297 717477015 860972418 1390522594 1434954030 2085783891 2152431045 3476306485 4171567782 4304862090 6257351673 6952612970 10428919455 12514703346 20857838910 31286758365 62573516730 146700133667 293400267334 440100401001 733500668335 880200802002 1320301203003 1467001336670 2200502005005 2640602406006 4401004010010 6601506015015 13203012030030