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1001121310020 = 2235132707474137
BaseRepresentation
bin11101001000101110111…
…10101110010101000100
310112201001212100212122210
432210113132232111010
5112400244023410040
62043524144023420
7132220501505316
oct16442736562504
93481055325583
101001121310020
11356633975797
12142035601b70
137353669acb0
14366513317b6
151b094e0b480
hexe9177ae544

1001121310020 has 96 divisors (see below), whose sum is σ = 3019887335808. Its totient is φ = 246338307072.

The previous prime is 1001121310001. The next prime is 1001121310043. The reversal of 1001121310020 is 200131211001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001121309978 and 1001121310005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874392 + ... + 2348528.

It is an arithmetic number, because the mean of its divisors is an integer number (31457159748).

Almost surely, 21001121310020 is an apocalyptic number.

1001121310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001121310020 is an abundant number, since it is smaller than the sum of its proper divisors (2018766025788).

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

1001121310020 is a wasteful number, since it uses less digits than its factorization.

1001121310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476869 (or 476867 counting only the distinct ones).

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

Adding to 1001121310020 its reverse (200131211001), we get a palindrome (1201252521021).

The spelling of 1001121310020 in words is "one trillion, one billion, one hundred twenty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2707 5414 8121 10828 13535 16242 27070 32484 35191 40605 54140 70382 81210 105573 140764 162420 175955 211146 351910 422292 474137 527865 703820 948274 1055730 1422411 1896548 2111460 2370685 2844822 4741370 5689644 6163781 7112055 9482740 12327562 14224110 18491343 24655124 28448220 30818905 36982686 61637810 73965372 92456715 123275620 184913430 369826860 1283488859 2566977718 3850466577 5133955436 6417444295 7700933154 12834888590 15401866308 16685355167 19252332885 25669777180 33370710334 38504665770 50056065501 66741420668 77009331540 83426775835 100112131002 166853551670 200224262004 250280327505 333707103340 500560655010 1001121310020