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1100101323312 = 243319672000417
BaseRepresentation
bin10000000000100011001…
…001100000101000110000
310220011112221201112012000
4100000203021200220300
5121011001414321222
62201213553134000
7142323351650535
oct20004311405060
93804487645160
101100101323312
11394606576772
1215925985a300
137c97ba931b4
143b360b20d8c
151d9398179ac
hex10023260a30

1100101323312 has 160 divisors (see below), whose sum is σ = 3373504915200. Its totient is φ = 342215165952.

The previous prime is 1100101323301. The next prime is 1100101323329. The reversal of 1100101323312 is 2133231010011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450273 + ... + 1550144.

It is an arithmetic number, because the mean of its divisors is an integer number (21084405720).

Almost surely, 21100101323312 is an apocalyptic number.

1100101323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100101323312 is an abundant number, since it is smaller than the sum of its proper divisors (2273403591888).

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

1100101323312 is a wasteful number, since it uses less digits than its factorization.

1100101323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000520 (or 2000508 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1100101323312 its reverse (2133231010011), we get a palindrome (3233332333323).

The spelling of 1100101323312 in words is "one trillion, one hundred billion, one hundred one million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 67 72 76 108 114 134 144 152 171 201 216 228 268 304 342 402 432 456 513 536 603 684 804 912 1026 1072 1206 1273 1368 1608 1809 2052 2412 2546 2736 3216 3618 3819 4104 4824 5092 7236 7638 8208 9648 10184 11457 14472 15276 20368 22914 28944 30552 34371 45828 61104 68742 91656 137484 183312 274968 549936 2000417 4000834 6001251 8001668 12002502 16003336 18003753 24005004 32006672 36007506 38007923 48010008 54011259 72015012 76015846 96020016 108022518 114023769 134027939 144030024 152031692 216045036 228047538 268055878 288060048 304063384 342071307 402083817 432090072 456095076 536111756 608126768 684142614 804167634 864180144 912190152 1026213921 1072223512 1206251451 1368285228 1608335268 1824380304 2052427842 2144447024 2412502902 2546530841 2736570456 3216670536 3618754353 4104855684 4825005804 5093061682 5473140912 6433341072 7237508706 7639592523 8209711368 9650011608 10186123364 14475017412 15279185046 16419422736 19300023216 20372246728 22918777569 28950034824 30558370092 40744493456 45837555138 57900069648 61116740184 68756332707 91675110276 122233480368 137512665414 183350220552 275025330828 366700441104 550050661656 1100101323312