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13120414411224 = 23323107222138941
BaseRepresentation
bin1011111011101101010110…
…1000111110100111011000
31201110022002020110102002210
42332323111220332213120
53204431102042124344
643523233555155120
72522630046246651
oct276732550764730
951408066412083
1013120414411224
1141a937798312a
12157a9a82a5aa0
1374233298b713
14335062404528
1517b45abeadb9
hexbeed5a3e9d8

13120414411224 has 64 divisors (see below), whose sum is σ = 34547048259840. Its totient is φ = 4144224064640.

The previous prime is 13120414411207. The next prime is 13120414411249. The reversal of 13120414411224 is 42211441402131.

It is a junction number, because it is equal to n+sod(n) for n = 13120414411191 and 13120414411200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111010407 + ... + 111128534.

It is an arithmetic number, because the mean of its divisors is an integer number (539797629060).

Almost surely, 213120414411224 is an apocalyptic number.

It is an amenable number.

13120414411224 is an abundant number, since it is smaller than the sum of its proper divisors (21426633848616).

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

13120414411224 is a wasteful number, since it uses less digits than its factorization.

13120414411224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222139080 (or 222139076 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 13120414411224 its reverse (42211441402131), we get a palindrome (55331855813355).

The spelling of 13120414411224 in words is "thirteen trillion, one hundred twenty billion, four hundred fourteen million, four hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 107 138 184 214 276 321 428 552 642 856 1284 2461 2568 4922 7383 9844 14766 19688 29532 59064 222138941 444277882 666416823 888555764 1332833646 1777111528 2665667292 5109195643 5331334584 10218391286 15327586929 20436782572 23768866687 30655173858 40873565144 47537733374 61310347716 71306600061 95075466748 122620695432 142613200122 190150933496 285226400244 546683933801 570452800488 1093367867602 1640051801403 2186735735204 3280103602806 4373471470408 6560207205612 13120414411224