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1003120220100 = 223523790371191
BaseRepresentation
bin11101001100011101001…
…11111101011111000100
310112220020011200000210110
432212032213331133010
5112413342234020400
62044454351353020
7132321153120435
oct16461647753704
93486204600713
101003120220100
1135746a238499
121424b2b22770
137379485321b
14367a09c548c
151b160655e50
hexe98e9fd7c4

1003120220100 has 72 divisors (see below), whose sum is σ = 2980803396928. Its totient is φ = 260269027200.

The previous prime is 1003120220077. The next prime is 1003120220119. The reversal of 1003120220100 is 10220213001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45174496 + ... + 45196695.

Almost surely, 21003120220100 is an apocalyptic number.

1003120220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003120220100 is an abundant number, since it is smaller than the sum of its proper divisors (1977683176828).

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

1003120220100 is a wasteful number, since it uses less digits than its factorization.

1003120220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90371245 (or 90371238 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1003120220100 its reverse (10220213001), we get a palindrome (1013340433101).

The spelling of 1003120220100 in words is "one trillion, three billion, one hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 90371191 180742382 271113573 361484764 451855955 542227146 903711910 1084454292 1355567865 1807423820 2259279775 2711135730 3343734067 4518559550 5422271460 6687468134 6777839325 9037119100 10031202201 13374936268 13555678650 16718670335 20062404402 27111357300 33437340670 40124808804 50156011005 66874681340 83593351675 100312022010 167186703350 200624044020 250780055025 334373406700 501560110050 1003120220100