Search a number
-
+
1002001020120 = 233257927351121
BaseRepresentation
bin11101001010010111110…
…10100011010011011000
310112210100011200210001100
432211023322203103120
5112404044230120440
62044151331151400
7132251343066642
oct16451372432330
93483304623040
101002001020120
11356a454a9a31
12142240145560
1373646a0c309
14366d60c9892
151b0e727b230
hexe94bea34d8

1002001020120 has 96 divisors (see below), whose sum is σ = 3256923402720. Its totient is φ = 267165803520.

The previous prime is 1002001020047. The next prime is 1002001020133. The reversal of 1002001020120 is 210201002001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 2678160 + ... + 3029280.

It is an arithmetic number, because the mean of its divisors is an integer number (33926285445).

Almost surely, 21002001020120 is an apocalyptic number.

1002001020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002001020120 is an abundant number, since it is smaller than the sum of its proper divisors (2254922382600).

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

1002001020120 is a wasteful number, since it uses less digits than its factorization.

1002001020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359065 (or 359058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002001020120 its reverse (210201002001), we get a palindrome (1212202022121).

The spelling of 1002001020120 in words is "one trillion, two billion, one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 7927 15854 23781 31708 39635 47562 63416 71343 79270 95124 118905 142686 158540 190248 237810 285372 317080 351121 356715 475620 570744 702242 713430 951240 1053363 1404484 1426860 1755605 2106726 2808968 2853720 3160089 3511210 4213452 5266815 6320178 7022420 8426904 10533630 12640356 14044840 15800445 21067260 25280712 31600890 42134520 63201780 126403560 2783336167 5566672334 8350008501 11133344668 13916680835 16700017002 22266689336 25050025503 27833361670 33400034004 41750042505 50100051006 55666723340 66800068008 83500085010 100200102012 111333446680 125250127515 167000170020 200400204024 250500255030 334000340040 501000510060 1002001020120