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1002110012120 = 23575936035353
BaseRepresentation
bin11101001010100100110…
…10010100101011011000
310112210121202210010222002
432211102122110223120
5112404310130341440
62044210223220132
7132254135362610
oct16452232245330
93483552703862
101002110012120
11356aa0a82268
12142270747648
1373663480919
143670677ba40
151b101b0a115
hexe952694ad8

1002110012120 has 64 divisors (see below), whose sum is σ = 2581200198720. Its totient is φ = 343001124864.

The previous prime is 1002110012089. The next prime is 1002110012131. The reversal of 1002110012120 is 212100112001.

It is a super-2 number, since 2×10021100121202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851637 + ... + 3183716.

It is an arithmetic number, because the mean of its divisors is an integer number (40331253105).

Almost surely, 21002110012120 is an apocalyptic number.

1002110012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002110012120 is an abundant number, since it is smaller than the sum of its proper divisors (1579090186600).

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

1002110012120 is a wasteful number, since it uses less digits than its factorization.

1002110012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035964 (or 6035960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002110012120 its reverse (212100112001), we get a palindrome (1214210124121).

The spelling of 1002110012120 in words is "one trillion, two billion, one hundred ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 593 1186 2372 2965 4151 4744 5930 8302 11860 16604 20755 23720 33208 41510 83020 166040 6035353 12070706 24141412 30176765 42247471 48282824 60353530 84494942 120707060 168989884 211237355 241414120 337979768 422474710 844949420 1689898840 3578964329 7157928658 14315857316 17894821645 25052750303 28631714632 35789643290 50105500606 71579286580 100211001212 125263751515 143158573160 200422002424 250527503030 501055006060 1002110012120