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1014113264310 = 233517220939709
BaseRepresentation
bin11101100000111011101…
…11000110001010110110
310120221121022000112111000
432300131313012022312
5113103400443424220
62053513250424130
7133160446343136
oct16603567061266
93527538015430
101014113264310
113610a05552a3
12144660592046
13748271b3803
14371249a4ac6
151b5a57be390
hexec1ddc62b6

1014113264310 has 64 divisors (see below), whose sum is σ = 2863378641600. Its totient is φ = 254522543616.

The previous prime is 1014113264309. The next prime is 1014113264341. The reversal of 1014113264310 is 134623114101.

1014113264310 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 1 + 3 + 2 + 643 + 10 = 666.

It is a super-2 number, since 2×10141132643102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 110465265 + ... + 110474444.

It is an arithmetic number, because the mean of its divisors is an integer number (44740291275).

Almost surely, 21014113264310 is an apocalyptic number.

1014113264310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1014113264310 is an abundant number, since it is smaller than the sum of its proper divisors (1849265377290).

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

1014113264310 is a wasteful number, since it uses less digits than its factorization.

1014113264310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220939742 (or 220939736 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1014113264310 its reverse (134623114101), we get a palindrome (1148736378411).

The spelling of 1014113264310 in words is "one trillion, fourteen billion, one hundred thirteen million, two hundred sixty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 220939709 441879418 662819127 1104698545 1325638254 1988457381 2209397090 3314095635 3755975053 3976914762 5965372143 6628191270 7511950106 9942286905 11267925159 11930744286 18779875265 19884573810 22535850318 29826860715 33803775477 37559750530 56339625795 59653721430 67607550954 101411326431 112679251590 169018877385 202822652862 338037754770 507056632155 1014113264310