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131123211102 = 233132914814349
BaseRepresentation
bin111101000011110001…
…1010110101101011110
3110112110012110021121000
41322013203112231132
54122020020223402
6140123121251130
712321232622202
oct1720743265536
9415405407530
10131123211102
11506776a8274
12214b4a93aa6
13c4987c13a0
1464bc72ab02
153626781c1c
hex1e878d6b5e

131123211102 has 128 divisors (see below), whose sum is σ = 324913680000. Its totient is φ = 38919121920.

The previous prime is 131123211101. The next prime is 131123211203. The reversal of 131123211102 is 201112321131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123211101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30148024 + ... + 30152372.

It is an arithmetic number, because the mean of its divisors is an integer number (2538388125).

Almost surely, 2131123211102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131123211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162456840000).

131123211102 is an abundant number, since it is smaller than the sum of its proper divisors (193790468898).

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

131123211102 is a wasteful number, since it uses less digits than its factorization.

131123211102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131123211102 its reverse (201112321131), we get a palindrome (332235532233).

It can be divided in two parts, 131123 and 211102, that added together give a square (342225 = 5852).

The spelling of 131123211102 in words is "one hundred thirty-one billion, one hundred twenty-three million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 522 702 754 783 1131 1481 1566 2262 2962 3393 4349 4443 6786 8698 8886 10179 13047 13329 19253 20358 26094 26658 38506 39141 39987 42949 56537 57759 78282 79974 85898 113074 115518 117423 126121 128847 169611 173277 234846 252242 257694 339222 346554 378363 386541 508833 519831 558337 756726 773082 1017666 1039662 1116674 1135089 1159623 1526499 1639573 1675011 2270178 2319246 3052998 3279146 3350022 3405267 4918719 5025033 6440869 6810534 9837438 10050066 12881738 14756157 15075099 19322607 29512314 30150198 38645214 44268471 57967821 83731297 88536942 115935642 167462594 173903463 186785201 251193891 347806926 373570402 502387782 560355603 753581673 1120711206 1507163346 1681066809 2260745019 2428207613 3362133618 4521490038 4856415226 5043200427 7284622839 10086400854 14569245678 21853868517 43707737034 65561605551 131123211102