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230132131211300 = 225217731854408793
BaseRepresentation
bin110100010100110111001111…
…111011101010100000100100
31010011211102020220111210222012
4310110313033323222200210
5220130441101042230200
62133241124103053352
766321332513540303
oct6424671773524044
91104742226453865
10230132131211300
116736654159a08a
1221989195141258
139b5449cc9ac16
1440b865152c43a
151b913e8d5ba35
hexd14dcfeea824

230132131211300 has 72 divisors (see below), whose sum is σ = 536005735452936. Its totient is φ = 85451157135360.

The previous prime is 230132131211291. The next prime is 230132131211329. The reversal of 230132131211300 is 3112131231032.

It can be written as a sum of positive squares in 12 ways, for example, as 16927102433536 + 213205028777764 = 4114256^2 + 14601542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927080297 + ... + 927328496.

It is an arithmetic number, because the mean of its divisors is an integer number (7444524103513).

Almost surely, 2230132131211300 is an apocalyptic number.

230132131211300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230132131211300 is an abundant number, since it is smaller than the sum of its proper divisors (305873604241636).

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

230132131211300 is a wasteful number, since it uses less digits than its factorization.

230132131211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854408897 (or 1854408890 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 230132131211300 its reverse (3112131231032), we get a palindrome (233244262442332).

The spelling of 230132131211300 in words is "two hundred thirty trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 146 170 292 340 365 425 730 850 1241 1460 1700 1825 2482 3650 4964 6205 7300 12410 24820 31025 62050 124100 1854408793 3708817586 7417635172 9272043965 18544087930 31524949481 37088175860 46360219825 63049898962 92720439650 126099797924 135371841889 157624747405 185440879300 270743683778 315249494810 541487367556 630498989620 676859209445 788123737025 1353718418890 1576247474050 2301321312113 2707436837780 3152494948100 3384296047225 4602642624226 6768592094450 9205285248452 11506606560565 13537184188900 23013213121130 46026426242260 57533032802825 115066065605650 230132131211300