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10103204134230 = 2354147331527993
BaseRepresentation
bin1001001100000101010111…
…1001001011110101010110
31022202212010200000110221020
42103001111321023311112
52311012330224243410
633253203051502010
72061634550122104
oct223012571136526
938685120013836
1010103204134230
113245821386639
12117209a757906
1358396072347c
1426cdd7932c74
15127c1a5e5a70
hex93055e4bd56

10103204134230 has 128 divisors (see below), whose sum is σ = 25444275849216. Its totient is φ = 2564773939200.

The previous prime is 10103204134229. The next prime is 10103204134259. The reversal of 10103204134230 is 3243140230101.

It is a happy number.

10103204134230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10103204134230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18871114 + ... + 19399106.

It is an arithmetic number, because the mean of its divisors is an integer number (198783405072).

Almost surely, 210103204134230 is an apocalyptic number.

10103204134230 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 10103204134230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722137924608).

10103204134230 is an abundant number, since it is smaller than the sum of its proper divisors (15341071714986).

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

10103204134230 is a wasteful number, since it uses less digits than its factorization.

10103204134230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528422.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10103204134230 its reverse (3243140230101), we get a palindrome (13346344364331).

The spelling of 10103204134230 in words is "ten trillion, one hundred three billion, two hundred four million, one hundred thirty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 47 82 94 123 141 205 235 246 282 331 410 470 615 662 705 993 1230 1410 1655 1927 1986 3310 3854 4965 5781 9635 9930 11562 13571 15557 19270 27142 28905 31114 40713 46671 57810 67855 77785 81426 93342 135710 155570 203565 233355 407130 466710 527993 637837 1055986 1275674 1583979 1913511 2639965 3167958 3189185 3827022 5279930 6378370 7919895 9567555 15839790 19135110 21647713 24815671 43295426 49631342 64943139 74447013 108238565 124078355 129886278 148894026 174765683 216477130 248156710 324715695 349531366 372235065 524297049 649431390 744470130 873828415 1017442511 1048594098 1747656830 2034885022 2621485245 3052327533 5087212555 5242970490 6104655066 7165393003 8213987101 10174425110 14330786006 15261637665 16427974202 21496179009 24641961303 30523275330 35826965015 41069935505 42992358018 49283922606 71653930030 82139871010 107480895045 123209806515 214961790090 246419613030 336773471141 673546942282 1010320413423 1683867355705 2020640826846 3367734711410 5051602067115 10103204134230