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131221434102 = 231122937168449
BaseRepresentation
bin111101000110101101…
…0000010111011110110
3110112201001021112012220
41322031122002323312
54122220141342402
6140140550423210
712323534533503
oct1721532027366
9415631245186
10131221434102
1150718095700
1221521961b06
13c4b2c620c5
1464cb7b84aa
1536301d4dbc
hex1e8d682ef6

131221434102 has 96 divisors (see below), whose sum is σ = 306484668000. Its totient is φ = 37355028480.

The previous prime is 131221434067. The next prime is 131221434121. The reversal of 131221434102 is 201434122131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694774 + ... + 863222.

It is an arithmetic number, because the mean of its divisors is an integer number (3192548625).

Almost surely, 2131221434102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131221434102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153242334000).

131221434102 is an abundant number, since it is smaller than the sum of its proper divisors (175263233898).

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

131221434102 is a wasteful number, since it uses less digits than its factorization.

131221434102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168542 (or 168531 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131221434102 its reverse (201434122131), we get a palindrome (332655556233).

The spelling of 131221434102 in words is "one hundred thirty-one billion, two hundred twenty-one million, four hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 22 29 33 37 58 66 74 87 111 121 174 222 242 319 363 407 638 726 814 957 1073 1221 1914 2146 2442 3219 3509 4477 6438 7018 8954 10527 11803 13431 21054 23606 26862 35409 70818 129833 168449 259666 336898 389499 505347 778998 1010694 1852939 3705878 4885021 5558817 6232613 9770042 11117634 12465226 14655063 18697839 20382329 29310126 37395678 40764658 53735231 61146987 68558743 107470462 122293974 137117486 161205693 180745777 205676229 322411386 361491554 411352458 542237331 591087541 754146173 1084474662 1182175082 1508292346 1773262623 1988203547 2262438519 3546525246 3976407094 4524877038 5964610641 11929221282 21870239017 43740478034 65610717051 131221434102