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2023210241430 = 235721164171233
BaseRepresentation
bin11101011100010000101…
…110100100110110010110
321011102021000000021120120
4131130100232210312112
5231122013310211210
64145241105012410
7266113015205310
oct35342056446626
97142230007516
102023210241430
117100474887a4
12288141024106
13118a32055241
146dcd12687b0
15379659bb270
hex1d710ba4d96

2023210241430 has 128 divisors (see below), whose sum is σ = 5584453825536. Its totient is φ = 459531878400.

The previous prime is 2023210241417. The next prime is 2023210241483. The reversal of 2023210241430 is 341420123202.

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 2023210241430.

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, 28367094 + ... + 28438326.

It is an arithmetic number, because the mean of its divisors is an integer number (43628545512).

Almost surely, 22023210241430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023210241430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792226912768).

2023210241430 is an abundant number, since it is smaller than the sum of its proper divisors (3561243584106).

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

2023210241430 is a wasteful number, since it uses less digits than its factorization.

2023210241430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72102.

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

Adding to 2023210241430 its reverse (341420123202), we get a palindrome (2364630364632).

The spelling of 2023210241430 in words is "two trillion, twenty-three billion, two hundred ten million, two hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 422 633 641 1055 1266 1282 1477 1923 2110 2954 3165 3205 3846 4431 4487 6330 6410 7385 8862 8974 9615 13461 14770 19230 22155 22435 26922 44310 44870 67305 71233 134610 135251 142466 213699 270502 356165 405753 427398 498631 676255 712330 811506 946757 997262 1068495 1352510 1495893 1893514 2028765 2136990 2493155 2840271 2991786 4057530 4733785 4986310 5680542 7479465 9467570 14201355 14958930 15030163 28402710 30060326 45090489 45660353 75150815 90180978 91320706 105211141 136981059 150301630 210422282 225452445 228301765 273962118 315633423 319622471 450904890 456603530 526055705 631266846 639244942 684905295 958867413 1052111410 1369810590 1578167115 1598112355 1917734826 3156334230 3196224710 4794337065 9588674130 9634334483 19268668966 28903003449 48171672415 57806006898 67440341381 96343344830 134880682762 144515017245 202321024143 289030034490 337201706905 404642048286 674403413810 1011605120715 2023210241430