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1211101000100 = 2252172192205611
BaseRepresentation
bin10001100111111011001…
…111101011000110100100
311021210001201012100022022
4101213323033223012210
5124320313324000400
62324212213322312
7153333132434555
oct21477317530644
94253051170268
101211101000100
11427696a39842
12176877336398
138a28b416114
14428909aa32c
152178457ab85
hex119fb3eb1a4

1211101000100 has 108 divisors (see below), whose sum is σ = 2938713316560. Its totient is φ = 431946662400.

The previous prime is 1211101000093. The next prime is 1211101000133. The reversal of 1211101000100 is 10001011121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 553706 + ... + 1651905.

Almost surely, 21211101000100 is an apocalyptic number.

1211101000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211101000100 is an abundant number, since it is smaller than the sum of its proper divisors (1727612316460).

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

1211101000100 is a wasteful number, since it uses less digits than its factorization.

1211101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205678 (or 2205654 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1211101000100 its reverse (10001011121), we get a palindrome (1221102011221).

The spelling of 1211101000100 in words is "one trillion, two hundred eleven billion, one hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 289 323 340 380 425 475 578 646 850 950 1156 1292 1445 1615 1700 1900 2890 3230 5491 5780 6460 7225 8075 10982 14450 16150 21964 27455 28900 32300 54910 109820 137275 274550 549100 2205611 4411222 8822444 11028055 22056110 37495387 41906609 44112220 55140275 74990774 83813218 110280550 149981548 167626436 187476935 209533045 220561100 374953870 419066090 637421579 712412353 749907740 838132180 937384675 1047665225 1274843158 1424824706 1874769350 2095330450 2549686316 2849649412 3187107895 3562061765 3749538700 4190660900 6374215790 7124123530 12111010001 12748431580 14248247060 15935539475 17810308825 24222020002 31871078950 35620617650 48444040004 60555050005 63742157900 71241235300 121110100010 242220200020 302775250025 605550500050 1211101000100