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1011410120214 = 234136113757467
BaseRepresentation
bin11101011011111001011…
…11011010111000010110
310120200121220120120220000
432231330233122320112
5113032331442321324
62052345124552130
7133033454113434
oct16557457327026
93520556516800
101011410120214
1135aa3371110a
12144027252646
13744b6168c70
1436d49993d54
151b4983179c9
hexeb7cbdae16

1011410120214 has 160 divisors (see below), whose sum is σ = 2498800129056. Its totient is φ = 303861818880.

The previous prime is 1011410120213. The next prime is 1011410120233. The reversal of 1011410120214 is 4120210141101.

1011410120214 is a `hidden beast` number, since 10 + 11 + 410 + 1 + 20 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011410120213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17571109 + ... + 17628575.

Almost surely, 21011410120214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011410120214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249400064528).

1011410120214 is an abundant number, since it is smaller than the sum of its proper divisors (1487390008842).

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

1011410120214 is a wasteful number, since it uses less digits than its factorization.

1011410120214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57692 (or 57683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1011410120214 its reverse (4120210141101), we get a palindrome (5131620261315).

The spelling of 1011410120214 in words is "one trillion, eleven billion, four hundred ten million, one hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 81 117 122 137 162 183 234 274 351 366 411 549 702 793 822 1053 1098 1233 1586 1647 1781 2106 2379 2466 3294 3562 3699 4758 4941 5343 7137 7398 8357 9882 10686 11097 14274 16029 16714 21411 22194 25071 32058 42822 48087 50142 57467 64233 75213 96174 108641 114934 128466 144261 150426 172401 217282 225639 288522 325923 344802 451278 517203 651846 676917 747071 977769 1034406 1353834 1494142 1551609 1955538 2241213 2933307 3103218 3505487 4482426 4654827 5866614 6723639 7010974 7872979 8799921 9309654 10516461 13447278 15745958 17599842 20170917 21032922 23618937 31549383 40341834 45571331 47237874 60512751 63098766 70856811 91142662 94648149 102348727 121025502 136713993 141713622 189296298 204697454 212570433 273427986 283944447 307046181 410141979 425140866 480251719 567888894 614092362 637711299 820283958 921138543 960503438 1230425937 1275422598 1440755157 1842277086 2460851874 2763415629 2881510314 3691277811 4322265471 5526831258 6243272347 7382555622 8290246887 8644530942 12486544694 12966796413 16580493774 18729817041 25933592826 37459634082 38900389239 56189451123 77800778478 112378902246 168568353369 337136706738 505705060107 1011410120214