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1022430400134 = 23111323509101789
BaseRepresentation
bin11101110000011011001…
…10011100111010000110
310121202001221011210221120
432320031212130322012
5113222414140301014
62101410435454410
7133603531002423
oct16701546347206
93552057153846
101022430400134
11364679340570
121461a1a57406
1375551344260
14376b3422d4a
151b8e0a60ba9
hexee0d99ce86

1022430400134 has 128 divisors (see below), whose sum is σ = 2511753753600. Its totient is φ = 273019845120.

The previous prime is 1022430400051. The next prime is 1022430400151. The reversal of 1022430400134 is 4310040342201.

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, 9993712 + ... + 10095500.

It is an arithmetic number, because the mean of its divisors is an integer number (19623076200).

Almost surely, 21022430400134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022430400134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255876876800).

1022430400134 is an abundant number, since it is smaller than the sum of its proper divisors (1489323353466).

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

1022430400134 is a wasteful number, since it uses less digits than its factorization.

1022430400134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102350.

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

Adding to 1022430400134 its reverse (4310040342201), we get a palindrome (5332470742335).

The spelling of 1022430400134 in words is "one trillion, twenty-two billion, four hundred thirty million, four hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 509 598 759 858 897 1018 1518 1527 1794 3054 3289 5599 6578 6617 9867 11198 11707 13234 16797 19734 19851 23414 33594 35121 39702 70242 72787 101789 128777 145574 152191 203578 218361 257554 304382 305367 386331 436722 456573 610734 772662 913146 1119679 1323257 1674101 2239358 2341147 2646514 3348202 3359037 3969771 4682294 5022303 6718074 7023441 7939542 10044606 14046882 14555827 25752617 29111654 30434911 43667481 51505234 51810601 60869822 77257851 87334962 91304733 103621202 154515702 155431803 182609466 310863606 334784021 569916611 669568042 673537813 1004352063 1139833222 1191643823 1347075626 1709749833 2008704126 2020613439 2383287646 3419499666 3574931469 4041226878 7149862938 7408915943 13108082053 14817831886 15491369699 22226747829 26216164106 30982739398 39324246159 44453495658 46474109097 78648492318 92948218194 170405066689 340810133378 511215200067 1022430400134