Search a number
-
+
210031130011032 = 2332112034311303591
BaseRepresentation
bin101111110000010110101110…
…111001010110010110011000
31000112122210001120110201111100
4233300112232321112112120
5210012122223240323112
62022410545154431400
762145151124466561
oct5760265671262630
91015583046421440
10210031130011032
1160a1677a433410
121b681534592560
139026b0993a175
1439c17bd2ad168
1519435d1e1e2dc
hexbf05aee56598

210031130011032 has 96 divisors (see below), whose sum is σ = 620550046920960. Its totient is φ = 63645435288000.

The previous prime is 210031130010991. The next prime is 210031130011037. The reversal of 210031130011032 is 230110031130012.

210031130011032 is a `hidden beast` number, since 2 + 10 + 0 + 311 + 300 + 1 + 10 + 32 = 666.

It is a super-3 number, since 3×2100311300110323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210031130010996 and 210031130011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210031130011037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160465557 + ... + 161769147.

It is an arithmetic number, because the mean of its divisors is an integer number (6464062988760).

Almost surely, 2210031130011032 is an apocalyptic number.

210031130011032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210031130011032 is an abundant number, since it is smaller than the sum of its proper divisors (410518916909928).

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

210031130011032 is a wasteful number, since it uses less digits than its factorization.

210031130011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507045 (or 1507038 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 210031130011032 its reverse (230110031130012), we get a palindrome (440141161141044).

The spelling of 210031130011032 in words is "two hundred ten trillion, thirty-one billion, one hundred thirty million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 203431 406862 610293 813724 1220586 1303591 1627448 1830879 2237741 2441172 2607182 3661758 3910773 4475482 4882344 5214364 6713223 7323516 7821546 8950964 10428728 11732319 13426446 14339501 14647032 15643092 17901928 20139669 23464638 26852892 28679002 31286184 40279338 43018503 46929276 53705784 57358004 80558676 86037006 93858552 114716008 129055509 161117352 172074012 258111018 344148024 516222036 1032444072 265190820721 530381641442 795572462163 1060763282884 1591144924326 2121526565768 2386717386489 2917099027931 3182289848652 4773434772978 5834198055862 6364579697304 8751297083793 9546869545956 11668396111724 17502594167586 19093739091912 23336792223448 26253891251379 35005188335172 52507782502758 70010376670344 105015565005516 210031130011032