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2232100130 = 2513293171269
BaseRepresentation
bin1000010100001011…
…0010010100100010
312202120002102202012
42011002302110202
514032404201010
61005253352522
7106212352361
oct20502622442
95676072665
102232100130
11a45a64957
12523638742
13297590510
141726357d8
15d0e5d005
hex850b2522

2232100130 has 128 divisors (see below), whose sum is σ = 4702924800. Its totient is φ = 756403200.

The previous prime is 2232100127. The next prime is 2232100133. The reversal of 2232100130 is 310012322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2232100127) and next prime (2232100133).

It is a super-3 number, since 3×22321001303 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232100133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8297636 + ... + 8297904.

It is an arithmetic number, because the mean of its divisors is an integer number (36741600).

Almost surely, 22232100130 is an apocalyptic number.

2232100130 is an abundant number, since it is smaller than the sum of its proper divisors (2470824670).

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

2232100130 is a wasteful number, since it uses less digits than its factorization.

2232100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2232100130 is about 47245.1069424126. The cubic root of 2232100130 is about 1306.8865576274.

Adding to 2232100130 its reverse (310012322), we get a palindrome (2542112452).

The spelling of 2232100130 in words is "two billion, two hundred thirty-two million, one hundred thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 29 31 58 62 65 71 130 142 145 155 269 290 310 355 377 403 538 710 754 806 899 923 1345 1798 1846 1885 2015 2059 2201 2690 3497 3770 4030 4118 4402 4495 4615 6994 7801 8339 8990 9230 10295 11005 11687 15602 16678 17485 19099 20590 22010 23374 26767 28613 34970 38198 39005 41695 53534 57226 58435 63829 78010 83390 95495 101413 108407 116870 127658 133835 143065 190990 202826 216814 241831 248287 267670 286130 319145 483662 496574 507065 542035 553871 592069 638290 829777 1014130 1084070 1107742 1184138 1209155 1241435 1659554 2418310 2482870 2769355 2960345 3143803 4148885 5538710 5920690 6287606 7200323 7696897 8297770 14400646 15393794 15719015 17170001 31438030 34340002 36001615 38484485 72003230 76968970 85850005 171700010 223210013 446420026 1116050065 2232100130