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10103130202230 = 2335136619434867
BaseRepresentation
bin1001001100000101000101…
…1111001010000001110110
31022202211221111220100022000
42103001101133022001312
52311012202312432410
633253151451120130
72061632661530652
oct223012137120166
938684844810260
1010103130202230
11324579367a40a
121172079a43046
1358394b309020
1426cdcbba9a62
15127c13d8edc0
hex930517ca076

10103130202230 has 128 divisors (see below), whose sum is σ = 29018567692800. Its totient is φ = 2486542914432.

The previous prime is 10103130202177. The next prime is 10103130202289. The reversal of 10103130202230 is 3220203130101.

10103130202230 is a `hidden beast` number, since 1 + 0 + 103 + 130 + 202 + 230 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 23015257 + ... + 23450123.

It is an arithmetic number, because the mean of its divisors is an integer number (226707560100).

Almost surely, 210103130202230 is an apocalyptic number.

10103130202230 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 10103130202230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509283846400).

10103130202230 is an abundant number, since it is smaller than the sum of its proper divisors (18915437490570).

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

10103130202230 is a wasteful number, since it uses less digits than its factorization.

10103130202230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441515 (or 441509 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10103130202230 its reverse (3220203130101), we get a palindrome (13323333332331).

The spelling of 10103130202230 in words is "ten trillion, one hundred three billion, one hundred thirty million, two hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 6619 13238 19857 33095 39714 59571 66190 86047 99285 119142 172094 178713 198570 258141 297855 357426 430235 434867 516282 595710 774423 860470 869734 893565 1290705 1304601 1548846 1787130 2174335 2323269 2581410 2609202 3872115 3913803 4348670 4646538 5653271 6523005 7744230 7827606 11306542 11616345 11741409 13046010 16959813 19569015 23232690 23482818 28266355 33919626 39138030 50879439 56532710 58707045 84799065 101758878 117414090 152638317 169598130 254397195 305276634 508794390 763191585 1526383170 2878384673 5756769346 8635154019 14391923365 17270308038 25905462057 28783846730 37419000749 43175770095 51810924114 74838001498 77716386171 86351540190 112257002247 129527310285 155432772342 187095003745 224514004494 259054620570 336771006741 374190007490 388581930855 561285011235 673542013482 777163861710 1010313020223 1122570022470 1683855033705 2020626040446 3367710067410 5051565101115 10103130202230