Search a number
-
+
4304011303221 = 37231031076131319
BaseRepresentation
bin111110101000011011000…
…100001001100100110101
3120020110101221121001020020
4332220123010021210311
51031004103343200341
613053122511155353
7622645261310160
oct76503304114465
916213357531206
104304011303221
11140a3591a23a3
12596190815b59
13252b359a5836
1410c45b0d8ad7
1576e558c3566
hex3ea1b109935

4304011303221 has 128 divisors (see below), whose sum is σ = 6991343124480. Its totient is φ = 2302378898688.

The previous prime is 4304011303171. The next prime is 4304011303271. The reversal of 4304011303221 is 1223031104034.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4304011303171) and next prime (4304011303271).

It is not a de Polignac number, because 4304011303221 - 225 = 4303977748789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4304011303191 and 4304011303200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4304011303271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3263086000 + ... + 3263087318.

It is an arithmetic number, because the mean of its divisors is an integer number (54619868160).

Almost surely, 24304011303221 is an apocalyptic number.

It is an amenable number.

4304011303221 is a deficient number, since it is larger than the sum of its proper divisors (2687331821259).

4304011303221 is a wasteful number, since it uses less digits than its factorization.

4304011303221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4304011303221 its reverse (1223031104034), we get a palindrome (5527042407255).

The spelling of 4304011303221 in words is "four trillion, three hundred four billion, eleven million, three hundred three thousand, two hundred twenty-one".

Divisors: 1 3 7 21 23 69 103 107 161 309 321 483 613 721 749 1319 1839 2163 2247 2369 2461 3957 4291 7107 7383 9233 11021 12873 14099 16583 17227 27699 30337 33063 42297 49749 51681 63139 65591 77147 91011 98693 135857 141133 189417 196773 212359 231441 253483 296079 407571 423399 441973 459137 637077 760449 808547 950999 987931 1325919 1377411 1452197 1508593 1774381 2425641 2852997 2963793 3124711 3246059 4356591 4525779 5323143 5659829 6755873 9374133 9738177 10165379 10560151 14536699 16979487 18596581 20267619 21872977 22722413 30496137 31680453 43610097 47291111 55789743 65618931 68167239 83280341 86514529 101756893 130176067 141873333 155385079 249841023 259543587 305270679 334344077 390528201 466155237 582962387 605601703 1003032231 1087695553 1748887161 1816805109 1915447843 1989834167 2340408539 3263086659 5746343529 5969502501 7021225617 8910996487 13408134901 13928839169 26732989461 40224404703 41786517507 62376975409 187130926227 204952919201 614858757603 1434670434407 4304011303221