Search a number
-
+
30020122331100 = 223252113032335589
BaseRepresentation
bin1101101001101100110101…
…01110100100011111011100
310221021220011221102002110100
412310312122232210133130
512413322202304043400
6143503015342341100
76215611421363436
oct664663256443734
9127256157362410
1030020122331100
11962450a484260
12344a12628a790
131399b68278b45
1475ada59d7656
15370d5b65b100
hex1b4d9aba47dc

30020122331100 has 108 divisors (see below), whose sum is σ = 102650624392680. Its totient is φ = 7277605411200.

The previous prime is 30020122331093. The next prime is 30020122331137. The reversal of 30020122331100 is 113322102003.

30020122331100 is a `hidden beast` number, since 30 + 0 + 201 + 2 + 2 + 331 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1516157895 + ... + 1516177694.

Almost surely, 230020122331100 is an apocalyptic number.

30020122331100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30020122331100 is an abundant number, since it is smaller than the sum of its proper divisors (72630502061580).

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

30020122331100 is a wasteful number, since it uses less digits than its factorization.

30020122331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032335620 (or 3032335610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30020122331100 its reverse (113322102003), we get a palindrome (30133444433103).

The spelling of 30020122331100 in words is "thirty trillion, twenty billion, one hundred twenty-two million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 3032335589 6064671178 9097006767 12129342356 15161677945 18194013534 27291020301 30323355890 33355691479 36388027068 45485033835 54582040602 60646711780 66711382958 75808389725 90970067670 100067074437 109164081204 133422765916 136455101505 151616779450 166778457395 181940135340 200134148874 227425169175 272910203010 300201223311 303233558900 333556914790 400268297748 454850338350 500335372185 545820406020 600402446622 667113829580 682275507525 833892286975 909700676700 1000670744370 1200804893244 1364551015050 1501006116555 1667784573950 2001341488740 2501676860925 2729102030100 3002012233110 3335569147900 5003353721850 6004024466220 7505030582775 10006707443700 15010061165550 30020122331100