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351130150025112 = 2331914910934728211
BaseRepresentation
bin100111111010110011101101…
…1110111001011011110011000
31201001020201021212202120212110
41033311213123313023132120
5332010404021401300422
63242442544122512320
7133650213310010463
oct11765473367133630
91631221255676773
10351130150025112
11a1976507821727
123346b4609656a0
13120c057b0a55b3
14629cb0b8462da
152a8da7ad3060c
hex13f59dbdcb798

351130150025112 has 128 divisors (see below), whose sum is σ = 931079507040000. Its totient is φ = 110038231779840.

The previous prime is 351130150025029. The next prime is 351130150025113. The reversal of 351130150025112 is 211520051031153.

It is a super-2 number, since 2×3511301500251122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 351130150025112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351130150025113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71898687 + ... + 76626897.

It is an arithmetic number, because the mean of its divisors is an integer number (7274058648750).

Almost surely, 2351130150025112 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 351130150025112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465539753520000).

351130150025112 is an abundant number, since it is smaller than the sum of its proper divisors (579949357014888).

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

351130150025112 is a wasteful number, since it uses less digits than its factorization.

351130150025112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729481 (or 4729477 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 351130150025112 in words is "three hundred fifty-one trillion, one hundred thirty billion, one hundred fifty million, twenty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 149 152 228 298 447 456 596 894 1093 1192 1788 2186 2831 3279 3576 4372 5662 6558 8493 8744 11324 13116 16986 20767 22648 26232 33972 41534 62301 67944 83068 124602 162857 166136 249204 325714 488571 498408 651428 977142 1302856 1954284 3094283 3908568 4728211 6188566 9282849 9456422 12377132 14184633 18565698 18912844 24754264 28369266 37131396 37825688 56738532 74262792 89836009 113477064 179672018 269508027 359344036 539016054 704503439 718688072 1078032108 1409006878 2113510317 2156064216 2818013756 4227020634 5167934623 5636027512 8454041268 10335869246 13385565341 15503803869 16908082536 20671738492 26771130682 31007607738 40156696023 41343476984 53542261364 62015215476 80313392046 98190757837 107084522728 124030430952 160626784092 196381515674 294572273511 321253568184 392763031348 589144547022 770022258827 785526062696 1178289094044 1540044517654 2310066776481 2356578188088 3080089035308 4620133552962 6160178070616 9240267105924 14630422917713 18480534211848 29260845835426 43891268753139 58521691670852 87782537506278 117043383341704 175565075012556 351130150025112