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101203412124243 = 311137328311419013
BaseRepresentation
bin10111000000101101000001…
…011011100000001001010011
3111021022221200210112111210010
4113000231001123200021103
5101231104042000433433
6555124112233010003
730213463616340342
oct2700550133401123
9437287623474703
10101203412124243
112a27914285a760
12b425a95b53903
134461596610180
141adc3b2581b59
15ba77edd09e63
hex5c0b416e0253

101203412124243 has 64 divisors (see below), whose sum is σ = 161267902806528. Its totient is φ = 55644388715520.

The previous prime is 101203412124239. The next prime is 101203412124247. The reversal of 101203412124243 is 342421214302101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101203412124239) and next prime (101203412124247).

It is not a de Polignac number, because 101203412124243 - 22 = 101203412124239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101203412124243.

It is not an unprimeable number, because it can be changed into a prime (101203412124247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3153205 + ... + 14572217.

It is an arithmetic number, because the mean of its divisors is an integer number (2519810981352).

Almost surely, 2101203412124243 is an apocalyptic number.

101203412124243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101203412124243 is a deficient number, since it is larger than the sum of its proper divisors (60064490682285).

101203412124243 is a wasteful number, since it uses less digits than its factorization.

101203412124243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11419396.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 101203412124243 its reverse (342421214302101), we get a palindrome (443624626426344).

The spelling of 101203412124243 in words is "one hundred one trillion, two hundred three billion, four hundred twelve million, one hundred twenty-four thousand, two hundred forty-three".

Divisors: 1 3 11 13 33 39 73 143 219 283 429 803 849 949 2409 2847 3113 3679 9339 10439 11037 20659 31317 40469 61977 121407 227249 268567 681747 805701 2954237 8862711 11419013 34257039 125609143 148447169 376827429 445341507 833587949 1632918859 2500763847 3231580679 4898756577 9169467439 9694742037 10836643337 27508402317 32509930011 35547387469 42010548827 106642162407 119203076707 126031646481 235905389567 357609230121 462116037097 707716168701 1386348111291 2594959285237 3066770064371 7784877855711 9200310193113 33734470708081 101203412124243