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30002300222231 = 171931891033111051
BaseRepresentation
bin1101101001001011101000…
…11100100111101100010111
310221020012011212222011012002
412310211310130213230113
512413024202324102411
6143450511052545515
76214410653064401
oct664456434475427
9127205155864162
1030002300222231
1196179a4354067
12344679178229b
131398287b615ac
1475a194a75b71
15370666be133b
hex1b4974727b17

30002300222231 has 128 divisors (see below), whose sum is σ = 35391474892800. Its totient is φ = 25243384320000.

The previous prime is 30002300222123. The next prime is 30002300222239. The reversal of 30002300222231 is 13222200320003.

It is a de Polignac number, because none of the positive numbers 2k-30002300222231 is a prime.

It is a super-3 number, since 3×300023002222313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002300222239) 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, 28546431656 + ... + 28546432706.

It is an arithmetic number, because the mean of its divisors is an integer number (276495897600).

Almost surely, 230002300222231 is an apocalyptic number.

30002300222231 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

30002300222231 is a deficient number, since it is larger than the sum of its proper divisors (5389174670569).

30002300222231 is a wasteful number, since it uses less digits than its factorization.

30002300222231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30002300222231 its reverse (13222200320003), we get a palindrome (43224500542234).

The spelling of 30002300222231 in words is "thirty trillion, two billion, three hundred million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 17 19 31 89 103 311 323 527 589 1051 1513 1691 1751 1957 2759 3193 5287 5909 9167 9641 10013 17867 19969 27679 28747 32033 32581 33269 46903 52421 54281 60667 93539 100453 108253 155839 163897 174173 183179 284177 326861 339473 470543 525901 544561 553877 608627 619039 858049 891157 993023 1031339 1590163 1777241 1840301 2056807 2850937 2899709 2960941 3114043 3355843 4831009 5399363 5556637 6210359 8940317 9634517 10132691 10346659 10523663 14586833 16302931 16881391 18867437 29090629 30213097 33666683 34965719 48465929 49295053 54167803 55094471 57049331 63761017 88379047 91789171 105576103 163786789 172255747 183055823 192521129 277149827 298670027 320746429 494540693 552721951 572333611 639666977 901809499 920852651 936606007 1043667173 1083937289 1502443799 1679201893 2996334787 3111948991 3272859193 5077390459 5674730513 9396273167 10874338609 15330761483 17134380481 17742341941 19829676287 28546432181 50937691379 56930360953 92886378397 96470418721 291284468177 337104496879 967816136201 1579068432749 1764841189543 30002300222231