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1011003113320 = 235415320035807
BaseRepresentation
bin11101011011001000111…
…10110011111101101000
310120122120112201111101121
432231210132303331220
5113031013244111240
62052240505225024
7133020412446424
oct16554436637550
93518515644347
101011003113320
1135a84499a882
12143b32a92174
137444ca43295
1436d0b8c7b84
151b47271d04a
hexeb647b3f68

1011003113320 has 128 divisors (see below), whose sum is σ = 2375800035840. Its totient is φ = 386833807360.

The previous prime is 1011003113317. The next prime is 1011003113347. The reversal of 1011003113320 is 233113001101.

It is a super-2 number, since 2×10110031133202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011003113294 and 1011003113303.

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, 174097857 + ... + 174103663.

It is an arithmetic number, because the mean of its divisors is an integer number (18560937780).

Almost surely, 21011003113320 is an apocalyptic number.

1011003113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011003113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187900017920).

1011003113320 is an abundant number, since it is smaller than the sum of its proper divisors (1364796922520).

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

1011003113320 is a wasteful number, since it uses less digits than its factorization.

1011003113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7915 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1011003113320 its reverse (233113001101), we get a palindrome (1244116114421).

The spelling of 1011003113320 in words is "one trillion, eleven billion, three million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 53 82 106 164 205 212 265 328 410 424 530 820 1060 1640 2003 2120 2173 4006 4346 5807 8012 8692 10015 10865 11614 16024 17384 20030 21730 23228 29035 40060 43460 46456 58070 80120 82123 86920 106159 116140 164246 212318 232280 238087 307771 328492 410615 424636 476174 530795 615542 656984 821230 849272 952348 1061590 1190435 1231084 1538855 1642460 1904696 2123180 2380870 2462168 3077710 3284920 4246360 4352519 4761740 6155420 8705038 9523480 11631421 12310840 12618611 17410076 21762595 23262842 25237222 34820152 43525190 46525684 50474444 58157105 63093055 87050380 93051368 100948888 116314210 126186110 174100760 232628420 252372220 465256840 476888261 504744440 616465313 953776522 1232930626 1907553044 2384441305 2465861252 3082326565 3815106088 4768882610 4931722504 6164653130 9537765220 12329306260 19075530440 24658612520 25275077833 50550155666 101100311332 126375389165 202200622664 252750778330 505501556660 1011003113320