Search a number
-
+
83121122265610 = 251113177148157961
BaseRepresentation
bin10010111001100100100100…
…111101110100101000001010
3101220022022010221000220120111
4102321210210331310220022
541343324024244444420
6452441152202344534
723336205616466302
oct2271444475645012
9356268127026514
1083121122265610
1124537519612780
1293a551b7bb14a
13374c399224870
141675125c8a602
1599228791645a
hex4b9924f74a0a

83121122265610 has 128 divisors (see below), whose sum is σ = 188736061506048. Its totient is φ = 25889719296000.

The previous prime is 83121122265569. The next prime is 83121122265613. The reversal of 83121122265610 is 1656222112138.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83121122265613) 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, 22352971 + ... + 25804990.

It is an arithmetic number, because the mean of its divisors is an integer number (1474500480516).

Almost surely, 283121122265610 is an apocalyptic number.

83121122265610 is an abundant number, since it is smaller than the sum of its proper divisors (105614939240438).

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

83121122265610 is a wasteful number, since it uses less digits than its factorization.

83121122265610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48158080.

The product of its (nonzero) digits is 69120, while the sum is 40.

Adding to 83121122265610 its reverse (1656222112138), we get a palindrome (84777344377748).

The spelling of 83121122265610 in words is "eighty-three trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred sixty-five thousand, six hundred ten".

Divisors: 1 2 5 10 11 13 17 22 26 34 55 65 71 85 110 130 142 143 170 187 221 286 355 374 442 710 715 781 923 935 1105 1207 1430 1562 1846 1870 2210 2414 2431 3905 4615 4862 6035 7810 9230 10153 12070 12155 13277 15691 20306 24310 26554 31382 50765 66385 78455 101530 132770 156910 172601 345202 863005 1726010 48157961 96315922 240789805 481579610 529737571 626053493 818685337 1059475142 1252106986 1637370674 2648687855 3130267465 3419215231 4093426685 5297375710 6260534930 6838430462 6886588423 8186853370 9005538707 10642909381 13773176846 17096076155 18011077414 21285818762 34192152310 34432942115 37611367541 44449798003 45027693535 53214546905 58126658927 68865884230 75222735082 88899596006 90055387070 106429093810 116253317854 117072003191 188056837705 222248990015 234144006382 290633294635 376113675410 444497980030 488947778033 581266589270 585360015955 639393248197 755646566051 977895556066 1170720031910 1278786496394 1511293132102 2444738890165 3196966240985 3778232830255 4889477780330 6393932481970 7556465660510 8312112226561 16624224453122 41560561132805 83121122265610