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35314231020 = 22356128134337
BaseRepresentation
bin100000111000111001…
…000110011011101100
310101011002221210212020
4200320321012123230
51034310420343040
624120110310140
72360056003515
oct407071063354
9111132853766
1035314231020
1113a81a654a2
126a167b8350
13343a3650b3
1419d0145a0c
15dba450cd0
hex838e466ec

35314231020 has 96 divisors (see below), whose sum is σ = 100861419456. Its totient is φ = 9229516800.

The previous prime is 35314231009. The next prime is 35314231129. The reversal of 35314231020 is 2013241353.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011292 + ... + 1045628.

It is an arithmetic number, because the mean of its divisors is an integer number (1050639786).

Almost surely, 235314231020 is an apocalyptic number.

35314231020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35314231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50430709728).

35314231020 is an abundant number, since it is smaller than the sum of its proper divisors (65547188436).

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

35314231020 is a wasteful number, since it uses less digits than its factorization.

35314231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34691 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 35314231020 its reverse (2013241353), we get a palindrome (37327472373).

The spelling of 35314231020 in words is "thirty-five billion, three hundred fourteen million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 281 305 366 562 610 732 843 915 1124 1220 1405 1686 1830 2810 3372 3660 4215 5620 8430 16860 17141 34282 34337 51423 68564 68674 85705 102846 103011 137348 171410 171685 205692 206022 257115 342820 343370 412044 514230 515055 686740 1028460 1030110 2060220 2094557 4189114 6283671 8378228 9648697 10472785 12567342 19297394 20945570 25134684 28946091 31418355 38594788 41891140 48243485 57892182 62836710 96486970 115784364 125673420 144730455 192973940 289460910 578921820 588570517 1177141034 1765711551 2354282068 2942852585 3531423102 5885705170 7062846204 8828557755 11771410340 17657115510 35314231020