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100012220100 = 223352132849351
BaseRepresentation
bin101110100100100110…
…0010101111011000100
3100120011000122012002000
41131021030111323010
53114311112020400
6113540040545300
710140252562422
oct1351114257304
9316130565060
10100012220100
1139462322261
1217471a82230
13957b1ca980
144baa922112
152905350600
hex1749315ec4

100012220100 has 144 divisors (see below), whose sum is σ = 346253255040. Its totient is φ = 24618384000.

The previous prime is 100012220041. The next prime is 100012220117. The reversal of 100012220100 is 1022210001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389576 + ... + 1459775.

Almost surely, 2100012220100 is an apocalyptic number.

100012220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012220100 is an abundant number, since it is smaller than the sum of its proper divisors (246241034940).

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

100012220100 is a wasteful number, since it uses less digits than its factorization.

100012220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849387 (or 2849374 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100012220100 its reverse (1022210001), we get a palindrome (101034430101).

The spelling of 100012220100 in words is "one hundred billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3900 5850 7020 8775 11700 17550 35100 2849351 5698702 8548053 11397404 14246755 17096106 25644159 28493510 34192212 37041563 42740265 51288318 56987020 71233775 74083126 76932477 85480530 102576636 111124689 128220795 142467550 148166252 153864954 170961060 185207815 213701325 222249378 256441590 284935100 307729908 333374067 370415630 384662385 427402650 444498756 512883180 555623445 641103975 666748134 740831260 769324770 854805300 926039075 1000122201 1111246890 1282207950 1333496268 1538649540 1666870335 1852078150 1923311925 2000244402 2222493780 2564415900 2778117225 3333740670 3704156300 3846623850 4000488804 5000611005 5556234450 6667481340 7693247700 8334351675 10001222010 11112468900 16668703350 20002444020 25003055025 33337406700 50006110050 100012220100