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1100121110200 = 235274119165873
BaseRepresentation
bin10000000000100100010…
…100111111011010111000
310220011121022221210200201
4100000210110333122320
5121011022001011300
62201215541211544
7142324012101340
oct20004424773270
93804538853621
101100121110200
11394616760972
12159264400bb4
137c982c00608
143b3635d1d20
151d93b42566a
hex1002453f6b8

1100121110200 has 96 divisors (see below), whose sum is σ = 2994476153760. Its totient is φ = 367984742400.

The previous prime is 1100121110173. The next prime is 1100121110203. The reversal of 1100121110200 is 20111210011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100121110203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9525537 + ... + 9640336.

It is an arithmetic number, because the mean of its divisors is an integer number (31192459935).

Almost surely, 21100121110200 is an apocalyptic number.

1100121110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100121110200 is an abundant number, since it is smaller than the sum of its proper divisors (1894355043560).

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

1100121110200 is a wasteful number, since it uses less digits than its factorization.

1100121110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19165937 (or 19165928 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100121110200 its reverse (20111210011), we get a palindrome (1120232320211).

The spelling of 1100121110200 in words is "one trillion, one hundred billion, one hundred twenty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2296 2870 4100 5740 7175 8200 11480 14350 28700 57400 19165873 38331746 76663492 95829365 134161111 153326984 191658730 268322222 383317460 479146825 536644444 670805555 766634920 785800793 958293650 1073288888 1341611110 1571601586 1916587300 2683222220 3143203172 3354027775 3833174600 3929003965 5366444440 5500605551 6286406344 6708055550 7858007930 11001211102 13416111100 15716015860 19645019825 22002422204 26832222200 27503027755 31432031720 39290039650 44004844408 55006055510 78580079300 110012111020 137515138775 157160158600 220024222040 275030277550 550060555100 1100121110200