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131422442312 = 23719229541997
BaseRepresentation
bin111101001100101100…
…0110101001101001000
3110120020001111210122102
41322121120311031020
54123123121123222
6140212531012532
712331525220330
oct1723130651510
9416201453572
10131422442312
11508105a7097
122157913a148
13c5157b0285
14650a3800c0
153642b8cd92
hex1e99635348

131422442312 has 128 divisors (see below), whose sum is σ = 298585632000. Its totient is φ = 52975088640.

The previous prime is 131422442303. The next prime is 131422442339. The reversal of 131422442312 is 213244224131.

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, 131817398 + ... + 131818394.

It is an arithmetic number, because the mean of its divisors is an integer number (2332700250).

Almost surely, 2131422442312 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 131422442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149292816000).

131422442312 is an abundant number, since it is smaller than the sum of its proper divisors (167163189688).

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

131422442312 is a wasteful number, since it uses less digits than its factorization.

131422442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1795 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 131422442312 its reverse (213244224131), we get a palindrome (344666666443).

The spelling of 131422442312 in words is "one hundred thirty-one billion, four hundred twenty-two million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 229 266 458 532 541 916 997 1064 1082 1603 1832 1994 2164 3206 3787 3988 4328 4351 6412 6979 7574 7976 8702 10279 12824 13958 15148 17404 18943 20558 27916 30296 30457 34808 37886 41116 55832 60914 71953 75772 82232 121828 123889 132601 143906 151544 228313 243656 247778 265202 287812 456626 495556 530404 539377 575624 867223 913252 991112 1060808 1078754 1598191 1734446 1826504 2157508 2353891 3196382 3468892 3775639 4315016 4337947 4707782 6392764 6937784 7551278 8675894 9415564 10248163 12785528 15102556 16477237 17351788 18831128 20496326 30205112 30365629 32954474 34703576 40992652 60731258 65908948 71737141 81985304 121462516 123517333 131817896 143474282 242925032 247034666 286948564 494069332 573897128 864621331 988138664 1729242662 2346829327 3458485324 4693658654 6916970648 9387317308 16427805289 18774634616 32855610578 65711221156 131422442312