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13120021103112 = 23327112215138743
BaseRepresentation
bin1011111011101011111000…
…1100101000001000001000
31201110021001211101021210200
42332322332030220020020
53204424300400244422
643523130545212200
72522614232216040
oct276727614501010
951407054337720
1013120021103112
1141a9195968a00
12157a8b8631060
1374229c351021
143350260a2720
1517b43640a2ac
hexbeebe328208

13120021103112 has 144 divisors (see below), whose sum is σ = 44636986605120. Its totient is φ = 3407797673280.

The previous prime is 13120021103081. The next prime is 13120021103117. The reversal of 13120021103112 is 21130112002131.

13120021103112 is a `hidden beast` number, since 131 + 200 + 21 + 1 + 0 + 311 + 2 = 666.

It is a super-2 number, since 2×131200211031122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13120021103117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107508388 + ... + 107630355.

Almost surely, 213120021103112 is an apocalyptic number.

13120021103112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13120021103112 is an abundant number, since it is smaller than the sum of its proper divisors (31516965502008).

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

13120021103112 is a wasteful number, since it uses less digits than its factorization.

13120021103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215138784 (or 215138766 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13120021103112 its reverse (21130112002131), we get a palindrome (34250133105243).

The spelling of 13120021103112 in words is "thirteen trillion, one hundred twenty billion, twenty-one million, one hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2178 2541 2772 2904 3388 4356 5082 5544 6776 7623 8712 10164 15246 20328 30492 60984 215138743 430277486 645416229 860554972 1290832458 1505971201 1721109944 1936248687 2366526173 2581664916 3011942402 3872497374 4517913603 4733052346 5163329832 6023884804 7099578519 7744994748 9035827206 9466104692 12047769608 13553740809 14199157038 15489989496 16565683211 18071654412 18932209384 21298735557 26031787903 27107481618 28398314076 33131366422 36143308824 42597471114 49697049633 52063575806 54214963236 56796628152 66262732844 78095363709 85194942228 99394099266 104127151612 108429926472 132525465688 149091148899 156190727418 170389884456 182222515321 198788198532 208254303224 234286091127 298182297798 312381454836 364445030642 397576397064 468572182254 546667545963 596364595596 624762909672 728890061284 937144364508 1093335091926 1192729191192 1457780122568 1640002637889 1874288729016 2186670183852 3280005275778 4373340367704 6560010551556 13120021103112