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351142320521100 = 2235211132310514219
BaseRepresentation
bin100111111010111001011000…
…1010001111011111110001100
31201001021212201001200211202010
41033311302301101323332030
5332011103433023133400
63242452315522501220
7133651124021350203
oct11765626121737614
91631255631624663
10351142320521100
11a1980692744479
1233471898804810
13120c176a664104
14629d543d6623a
152a8e03e52d450
hex13f5cb147bf8c

351142320521100 has 72 divisors (see below), whose sum is σ = 1015981003679040. Its totient is φ = 93637102095680.

The previous prime is 351142320521089. The next prime is 351142320521101. The reversal of 351142320521100 is 1125023241153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (351142320521101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28139791 + ... + 38654009.

It is an arithmetic number, because the mean of its divisors is an integer number (14110847273320).

Almost surely, 2351142320521100 is an apocalyptic number.

351142320521100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351142320521100 is an abundant number, since it is smaller than the sum of its proper divisors (664838683157940).

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

351142320521100 is a wasteful number, since it uses less digits than its factorization.

351142320521100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625559 (or 10625552 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 351142320521100 its reverse (1125023241153), we get a palindrome (352267343762253).

The spelling of 351142320521100 in words is "three hundred fifty-one trillion, one hundred forty-two billion, three hundred twenty million, five hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 111323 222646 333969 445292 556615 667938 1113230 1335876 1669845 2226460 2783075 3339690 5566150 6679380 8349225 10514219 11132300 16698450 21028438 31542657 33396900 42056876 52571095 63085314 105142190 126170628 157713285 210284380 262855475 315426570 525710950 630853140 788566425 1051421900 1577132850 3154265700 1170474401737 2340948803474 3511423205211 4681897606948 5852372008685 7022846410422 11704744017370 14045692820844 17557116026055 23409488034740 29261860043425 35114232052110 58523720086850 70228464104220 87785580130275 117047440173700 175571160260550 351142320521100