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232130310101011 = 72979151421227693
BaseRepresentation
bin110100110001111100001100…
…101011001101100000010011
31010102220102220102121200021001
4310301330030223031200103
5220411210333341213021
62141411105311242431
766615601324056040
oct6461741453154023
91112812812550231
10232130310101011
1167a66a03477843
12220504ab219417
139c6aa4316062a
14414724a1ac1c7
151bc8397011091
hexd31f0cacd813

232130310101011 has 64 divisors (see below), whose sum is σ = 280419915571200. Its totient is φ = 187971585984000.

The previous prime is 232130310100957. The next prime is 232130310101023. The reversal of 232130310101011 is 110101013031232.

It is not a de Polignac number, because 232130310101011 - 27 = 232130310100883 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232130310101011.

It is not an unprimeable number, because it can be changed into a prime (232130310101051) 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 63 ways as a sum of consecutive naturals, for example, 1019374281 + ... + 1019601973.

It is an arithmetic number, because the mean of its divisors is an integer number (4381561180800).

Almost surely, 2232130310101011 is an apocalyptic number.

232130310101011 is a deficient number, since it is larger than the sum of its proper divisors (48289605470189).

232130310101011 is a wasteful number, since it uses less digits than its factorization.

232130310101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228380.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 232130310101011 its reverse (110101013031232), we get a palindrome (342231323132243).

The spelling of 232130310101011 in words is "two hundred thirty-two trillion, one hundred thirty billion, three hundred ten million, one hundred one thousand, eleven".

Divisors: 1 7 29 79 151 203 421 553 1057 2291 2947 4379 11929 12209 16037 30653 33259 63571 83503 85463 227693 232813 345941 444997 964511 1593851 1843559 2421587 5022109 6603097 6751577 12904913 17987747 34381643 35154763 46221679 95858753 125914229 145641161 240671501 521644663 671011271 997067647 1019488127 2716149797 2779903837 3651512641 6979473529 7572841487 14474671703 19013048579 19459326859 53009890409 78768344113 101322701921 219612403123 419765479387 551378408791 1143499064537 1537286821861 2938358355709 8004493451759 33161472871573 232130310101011