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10020123422430 = 23511197692078161
BaseRepresentation
bin1001000111001111110111…
…1001011010111011011110
31022110220200122000000211020
42101303331321122323132
52303132203044004210
633151103043505010
72052633666535332
oct221637571327336
938426618000736
1010020123422430
1132135684a2150
121159b73088166
13578b80287a84
14268d959817c2
151259a693d770
hex91cfde5aede

10020123422430 has 128 divisors (see below), whose sum is σ = 27651192307200. Its totient is φ = 2298278707200.

The previous prime is 10020123422423. The next prime is 10020123422471. The reversal of 10020123422430 is 3422432102001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10020123422430.

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, 3782550 + ... + 5860710.

It is an arithmetic number, because the mean of its divisors is an integer number (216024939900).

Almost surely, 210020123422430 is an apocalyptic number.

10020123422430 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 10020123422430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825596153600).

10020123422430 is an abundant number, since it is smaller than the sum of its proper divisors (17631068884770).

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

10020123422430 is a wasteful number, since it uses less digits than its factorization.

10020123422430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078970.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10020123422430 its reverse (3422432102001), we get a palindrome (13442555524431).

The spelling of 10020123422430 in words is "ten trillion, twenty billion, one hundred twenty-three million, four hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 769 1045 1254 1538 2090 2307 3135 3845 4614 6270 7690 8459 11535 14611 16918 23070 25377 29222 42295 43833 50754 73055 84590 87666 126885 146110 160721 219165 253770 321442 438330 482163 803605 964326 1607210 2078161 2410815 4156322 4821630 6234483 10390805 12468966 20781610 22859771 31172415 39485059 45719542 62344830 68579313 78970118 114298855 118455177 137158626 197425295 228597710 236910354 342896565 394850590 434335649 592275885 685793130 868671298 1184551770 1303006947 1598105809 2171678245 2606013894 3196211618 4343356490 4794317427 6515034735 7990529045 9588634854 13030069470 15981058090 17579163899 23971587135 30364010371 35158327798 47943174270 52737491697 60728020742 87895819495 91092031113 105474983394 151820051855 175791638990 182184062226 263687458485 303640103710 334004114081 455460155565 527374916970 668008228162 910920311130 1002012342243 1670020570405 2004024684486 3340041140810 5010061711215 10020123422430