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131150316648 = 233132950328817
BaseRepresentation
bin111101000100100101…
…0110000010001101000
3110112112002110101102010
41322021022300101220
54122043440113043
6140125530235520
712322012204131
oct1721112602150
9415462411363
10131150316648
1150690a3104a
1221501b85ba0
13c4a12c1a80
1464c2184c88
153628d38133
hex1e892b0468

131150316648 has 128 divisors (see below), whose sum is σ = 366011654400. Its totient is φ = 38883618816.

The previous prime is 131150316629. The next prime is 131150316659. The reversal of 131150316648 is 846613051131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4536736 + ... + 4565552.

It is an arithmetic number, because the mean of its divisors is an integer number (2859466050).

Almost surely, 2131150316648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131150316648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183005827200).

131150316648 is an abundant number, since it is smaller than the sum of its proper divisors (234861337752).

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

131150316648 is a wasteful number, since it uses less digits than its factorization.

131150316648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29371 (or 29367 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

Adding to 131150316648 its reverse (846613051131), we get a palindrome (977763367779).

The spelling of 131150316648 in words is "one hundred thirty-one billion, one hundred fifty million, three hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 503 696 754 1006 1131 1508 1509 2012 2262 3016 3018 4024 4524 6036 6539 9048 12072 13078 14587 19617 26156 28817 29174 39234 43761 52312 57634 58348 78468 86451 87522 115268 116696 156936 172902 175044 189631 230536 345804 350088 374621 379262 568893 691608 749242 758524 835693 1123863 1137786 1498484 1517048 1671386 2247726 2275572 2507079 2996968 3342772 4495452 4551144 5014158 6685544 8990904 10028316 10864009 14494951 20056632 21728018 28989902 32592027 43456036 43484853 57979804 65184054 86912072 86969706 115959608 130368108 173939412 188434363 260736216 347878824 376868726 420353579 565303089 753737452 840707158 1130606178 1261060737 1507474904 1681414316 2261212356 2522121474 3362828632 4522424712 5044242948 5464596527 10088485896 10929193054 16393789581 21858386108 32787579162 43716772216 65575158324 131150316648