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30002013320301 = 3211374324429723
BaseRepresentation
bin1101101001001011000110…
…10110001011010001101101
310221020011102220010000201200
412310211203112023101231
512413023110402222201
6143450422403400113
76214400600336541
oct664454326132155
9127204386100650
1030002013320301
119617867406430
123446711683039
13139824059b539
1475a168911a21
1537064b91d386
hex1b496358b46d

30002013320301 has 72 divisors (see below), whose sum is σ = 49709051529696. Its totient is φ = 17280168333120.

The previous prime is 30002013320299. The next prime is 30002013320429. The reversal of 30002013320301 is 10302331020003.

30002013320301 is a `hidden beast` number, since 30 + 0 + 0 + 2 + 0 + 1 + 332 + 0 + 301 = 666.

It is not a de Polignac number, because 30002013320301 - 21 = 30002013320299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002013320501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4558026 + ... + 8987748.

It is an arithmetic number, because the mean of its divisors is an integer number (690403493468).

Almost surely, 230002013320301 is an apocalyptic number.

It is an amenable number.

30002013320301 is a deficient number, since it is larger than the sum of its proper divisors (19707038209395).

30002013320301 is a wasteful number, since it uses less digits than its factorization.

30002013320301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429863 (or 4429817 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30002013320301 its reverse (10302331020003), we get a palindrome (40304344340304).

The spelling of 30002013320301 in words is "thirty trillion, two billion, thirteen million, three hundred twenty thousand, three hundred one".

Divisors: 1 3 9 11 33 37 43 99 111 129 333 387 407 473 1221 1419 1591 1849 3663 4257 4773 5547 14319 16641 17501 20339 52503 61017 68413 157509 183051 205239 615717 752543 2257629 4429723 6772887 13289169 39867507 48726953 146180859 163899751 190478089 438542577 491699253 571434267 1475097759 1714302801 1802897261 2095258979 5408691783 6285776937 7047689293 8190557827 16226075349 18857330811 21143067879 24571673481 63429203637 73715020443 77524582223 90096136097 232573746669 270288408291 303050639599 697721240007 810865224873 909151918797 2727455756391 3333557035589 10000671106767 30002013320301