Search a number
-
+
30020322011200 = 265267612775137
BaseRepresentation
bin1101101001101101001101…
…01000010010100001000000
310221021220200212010220001121
412310312212220102201000
512413323104413324300
6143503051234242024
76215616364546243
oct664664650224100
9127256625126047
1030020322011200
119624602168934
12344a181126314
131399b9a750651
1475adc433525a
15370d6de5081a
hex1b4da6a12840

30020322011200 has 84 divisors (see below), whose sum is σ = 73879707185172. Its totient is φ = 12006348390400.

The previous prime is 30020322011191. The next prime is 30020322011291. The reversal of 30020322011200 is 211022302003.

It can be written as a sum of positive squares in 6 ways, for example, as 3782651569216 + 26237670441984 = 1944904^2 + 5122272^2 .

It is a super-2 number, since 2×300203220112002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9430032 + ... + 12205168.

It is an arithmetic number, because the mean of its divisors is an integer number (879520323633).

Almost surely, 230020322011200 is an apocalyptic number.

It is an amenable number.

30020322011200 is an abundant number, since it is smaller than the sum of its proper divisors (43859385173972).

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

30020322011200 is a wasteful number, since it uses less digits than its factorization.

30020322011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781920 (or 2781905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30020322011200 its reverse (211022302003), we get a palindrome (30231344313203).

The spelling of 30020322011200 in words is "thirty trillion, twenty billion, three hundred twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 6761 13522 27044 33805 54088 67610 108176 135220 169025 216352 270440 338050 432704 540880 676100 1081760 1352200 2163520 2704400 2775137 5408800 5550274 10817600 11100548 13875685 22201096 27751370 44402192 55502740 69378425 88804384 111005480 138756850 177608768 222010960 277513700 444021920 555027400 888043840 1110054800 2220109600 4440219200 18762701257 37525402514 75050805028 93813506285 150101610056 187627012570 300203220112 375254025140 469067531425 600406440224 750508050280 938135062850 1200812880448 1501016100560 1876270125700 3002032201120 3752540251400 6004064402240 7505080502800 15010161005600 30020322011200