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20311133100 = 22352297331981
BaseRepresentation
bin10010111010101000…
…110100101110101100
31221102111222110121220
4102322220310232230
5313044122224400
613155242023340
71316220532326
oct227250645654
957374873556
1020311133100
118683117a15
123b2a1a7b50
131bb8ca2c6b
14da9756616
157dd2287a0
hex4baa34bac

20311133100 has 144 divisors (see below), whose sum is σ = 61628034720. Its totient is φ = 5157734400.

The previous prime is 20311133083. The next prime is 20311133107. The reversal of 20311133100 is 133111302.

It is a super-2 number, since 2×203111331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20311133100.

It is not an unprimeable number, because it can be changed into a prime (20311133107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619110 + ... + 651090.

Almost surely, 220311133100 is an apocalyptic number.

20311133100 is a gapful number since it is divisible by the number (20) 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 20311133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30814017360).

20311133100 is an abundant number, since it is smaller than the sum of its proper divisors (41316901620).

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

20311133100 is a wasteful number, since it uses less digits than its factorization.

20311133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32100 (or 32093 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 20311133100 its reverse (133111302), we get a palindrome (20444244402).

The spelling of 20311133100 in words is "twenty billion, three hundred eleven million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 73 75 87 100 116 145 146 150 174 219 290 292 300 348 365 435 438 580 725 730 870 876 1095 1450 1460 1740 1825 2117 2175 2190 2900 3650 4234 4350 4380 5475 6351 7300 8468 8700 10585 10950 12702 21170 21900 25404 31755 31981 42340 52925 63510 63962 95943 105850 127020 127924 158775 159905 191886 211700 317550 319810 383772 479715 635100 639620 799525 927449 959430 1599050 1854898 1918860 2334613 2398575 2782347 3198100 3709796 4637245 4669226 4797150 5564694 7003839 9274490 9338452 9594300 11129388 11673065 13911735 14007678 18548980 23186225 23346130 27823470 28015356 35019195 46372450 46692260 55646940 58365325 67703777 69558675 70038390 92744900 116730650 135407554 139117350 140076780 175095975 203111331 233461300 270815108 278234700 338518885 350191950 406222662 677037770 700383900 812445324 1015556655 1354075540 1692594425 2031113310 3385188850 4062226620 5077783275 6770377700 10155566550 20311133100